Classification of topological insulators and superconductors in three spatial dimensions

Abstract

We systematically study topological phases of insulators and superconductors (SCs) in 3D. We find that there exist 3D topologically non-trivial insulators or SCs in 5 out of 10 symmetry classes introduced by Altland and Zirnbauer within the context of random matrix theory. One of these is the recently introduced Z_2 topological insulator in the symplectic symmetry class. We show there exist precisely 4 more topological insulators. For these systems, all of which are time-reversal (TR) invariant in 3D, the space of insulating ground states satisfying certain discrete symmetry properties is partitioned into topological sectors that are separated by quantum phase transitions. 3 of the above 5 topologically non-trivial phases can be realized as TR invariant SCs, and in these the different topological sectors are characterized by an integer winding number defined in momentum space. When such 3D topological insulators are terminated by a 2D surface, they support a number (which may be an arbitrary non-vanishing even number for singlet pairing) of Dirac fermion (Majorana fermion when spin rotation symmetry is completely broken) surface modes which remain gapless under arbitrary perturbations that preserve the characteristic discrete symmetries. In particular, these surface modes completely evade Anderson localization. These topological phases can be thought of as 3D analogues of well known paired topological phases in 2D such as the chiral p-wave SC. In the corresponding topologically non-trivial and topologically trivial 3D phases, the wavefunctions exhibit markedly distinct behavior. When an electromagnetic U(1) gauge field and fluctuations of the gap functions are included in the dynamics, the SC phases with non-vanishing winding number possess non-trivial topological ground state degeneracies.

20 pages. Changed title, added two tables

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• Superconductivity and Abelian Chiral Anomalies
• Superconducting Topological Fluids in Josephson Junction Arrays
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• Topology of nonsymmorphic crystalline insulators and superconductors
• Majorana Fermions and Exotic Surface Andreev Bound States in Topological Superconductors: Application to CuxBi2Se3
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• Chiral-Symmetric Higher-Order Topological Phases of Matter
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• Recent progress on superconductors with time-reversal symmetry breaking
• Theory of spin Bott index for quantum spin Hall states in non-periodic systems
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• Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
• Time reversal non-invariant non-Abelian topological order in non-centrosymmetric superconductors
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• Floquet topological phases protected by time glide symmetry
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• Theory of interacting topological crystalline insulators
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• Bulk-boundary correspondence for non-Hermitian Hamiltonians via Green functions
• Smooth gauge for topological insulators
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• Counter-propagating edge modes and topological phases of a kicked quantum Hall system
• Topological phases and phase transitions on the square-octagon lattice
• Topological Insulators with Commensurate Antiferromagnetism
• Observation of topological edge modes in a quasi-periodic acoustic waveguide
• Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions
• Fermionic Matrix Product States and One-Dimensional Topological Phases
• Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
• Stability of Majorana Fermions in Proximity-Coupled Topological Insulator Nanowires
• Topologically stable gapless phases of time-reversal invariant superconductors
• Topological crystalline superconductivity and second-order topological superconductivity in nodal-loop materials
• Emergent topological phenomena in thin films of pyrochlore iridates
• Exceptional Topological Insulators
• Many-body topological invariants for fermionic symmetry-protected topological phases
• Refined symmetry indicators for topological superconductors in all space groups
• Axion topological field theory of topological superconductors
• Topological Field Theory of Non-Hermitian Systems
• Emergence of supersymmetry on the surface of three dimensional topological insulators
• Trace Index and Spectral Flow in the Entanglement Spectrum
• Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
• Boundary criticality of $PT$-invariant topology and second-order nodal-line semimetals
• AIII and BDI Topological Systems at Strong Disorder
• Unconventional superconductivity in CuxBi2Se3
• Compactly-supported Wannier functions and algebraic $K$-theory
• Quantum complexity and topological phases of matter
• Quantum oscillations and Berry's phase in topological insulator surface states with broken particle-hole symmetry
• Particle-vortex duality in topological insulators and superconductors
• Dynamical topological invariant after a quantum quench
• Topological Andreev bands in three-terminal Josephson junctions
• Fragile Topology Protected by Inversion Symmetry: Diagnosis, Bulk-Boundary Correspondence, and Wilson Loop
• Phase diagrams of disordered Weyl semimetals
• Hopf Insulators and Their Topologically Protected Surface States
• Topological Hamiltonian as an Exact Tool for Topological Invariants
• Topological states from topological crystals
• Geometric classification of non-Hermitian topological systems through the singularity ring
• Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids
• Crossed surface flat bands of Weyl semimetal superconductors
• The translational side of topological band insulators
• Exploration and prediction of topological electronic materials based on first-principles calculations
• Second-Order Real Nodal-Line Semimetal in Three-Dimensional Graphdiyne
• Fermion zero modes at the boundary of superfluid 3He-B
• Vacancy-like dressed states in topological waveguide QED
• Fermiology of Strongly Spin-Orbit Coupled Superconductor Sn1-xInxTe and its Implication to Topological Superconductivity
• Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
• Majorana modes and $p$-wave superfluids for fermionic atoms in optical lattices
• Observation of topological Uhlmann phases with superconducting qubits
• Odd-parity superconductivity from phonon-mediated pairing: Application to Cu${}_x$Bi${}_2$Se${}_3$
• Disorder effect on 3-dimensional $Z_2$ quantum spin Hall systems
• Topological Phase Transition without Gap Closing
• Majorana Flat Bands and Uni-directional Majorana Edge States in Gapless Topological Superconductors
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Topological Amplification in Photonic Lattices
• Majorana Fermions in Chiral Topological Ferromagnetic Nanowires
• Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics
• Topological superconductivity of spin-3/2 carriers in a three-dimensional doped Luttinger semimetal
• Non-Abelian Majorana Doublets in Time-Reversal Invariant Topological Superconductor
• Superconductivity and Local Inversion-Symmetry Breaking
• Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
• Non-abelian topology of nodal-line rings in $\mathcal{P}\mathcal{T}$-symmetric systems
• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Pairing states of spin-3/2 fermions: Symmetry-enforced topological gap functions
• Fluctuation driven topological Hund insulators
• Towards a complete classification of fermionic symmetry protected topological phases in 3D and a general group supercohomology theory
• Topological classification of defects in non-Hermitian systems
• Surface spectral function in the superconducting state of a topological insulator
• Topological classification of non-Hermitian bands
• Oscillatory angular dependence of the magnetoresistance in a topological insulator Bi_{1-x}Sb_{x}
• Correlated spin currents generated by resonant crossed Andreev reflections in topological superconductors
• Flat-band many-body localization and ergodicity breaking in the Creutz ladder
• Square-root higher-order topological insulator on a decorated honeycomb lattice
• Shiba impurity bound states as a probe of topological superconductivity and Fermion parity changing quantum phase transitions
• Unified understanding of symmetry indicators for all internal symmetry classes
• Inflated nodes and surface states in superconducting half-Heusler compounds
• Floquet topological phase transition in $\alpha$-${\mathcal{T}}_3$ lattice
• Topological Phase Transitions for Interacting Finite Systems
• Many-body localization, symmetry, and topology
• Majorana Zero Modes in Graphene
• Topology of one dimensional quantum systems out of equilibrium
• Ballistic transport in disordered graphene
• Ferromagnetism in the Hubbard model with Topological/Non-Topological Flat Bands
• Possible pairing symmetries in SrPtAs with a local lack of inversion center
• Theory and Experimental Investigation of the Quantum Valley Hall Effect
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
• Correlation Length, Universality Classes, and Scaling Laws Associated with Topological Phase Transitions
• Split orthogonal group: A guiding principle for sign-problem-free fermionic simulations
• Unveiling hidden topological phases of a one-dimensional Hadamard quantum walk
• From the adiabatic theorem of quantum mechanics to topological states of matter
• Emergent Weyl spinors in multi-fermion systems
• Superconductivity in Tl_{0.6}Bi_{2}Te_{3} Derived from a Topological Insulator
• New class of topological superconductors protected by magnetic group symmetries
• Topological superconducting phase in high-Tc superconductor MgB2 with Dirac-nodal-line fermions
• Topological equivalence of crystal and quasicrystal band structures
• Braiding Majorana corner modes in a second-order topological superconductor
• On the K-theoretic classification of topological phases of matter
• Phase diagram of disordered higher-order topological insulator: A machine learning study
• Quantum Hall Effect of Two-Component Bosons at Fractional and Integral Fillings
• Topological invariant for superfluid 3He-B and quantum phase transitions
• Robustness of odd-parity superconductivity with spin-orbit locking against disorder
• Decoherence of Majorana qubits by noisy gates
• Second-order topological phases protected by chiral symmetry
• Entanglement Spectrum Classification of $C_n$-invariant Noninteracting Topological Insulators in Two Dimensions
• Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
• Strong Anisotropy in Spin Suceptibility of Superfluid 3He-B Film Caused by Surface Bound States
• Topological Odd-Parity Superconductivity at Type-II 2D Van Hove Singularities
• Higher-Order topological insulator in a dodecagonal quasicrystal
• Long-range topological insulators and weakened bulk-boundary correspondence
• Superconducting proximity effect in three-dimensional topological insulators in the presence of a magnetic field
• Layer construction of 3D topological states and string braiding statistics
• Topological Entanglement-Spectrum Crossing in Quench Dynamics
• On topological phases of spin chains
• Lattice model of three-dimensional topological singlet superconductor with time-reversal symmetry
• Exact Solution to Interacting Kitaev Chain at Symmetric Point
• Topological charge pumping in the interacting bosonic Rice-Mele model
• Topological networks for quantum communication between distant qubits
• Majorana fermions in ferromagnetic chains on the surface of bulk spin-orbit coupled $s$-wave superconductors
• Modern semiclassical theory of magnetic transport and breakdown
• Symmetric Mass Generation
• Visualising Majorana bound states in 1D and 2D using the generalized Majorana polarization
• Topological band theory for non-Hermitian systems from the Dirac equation
• Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions
• Disorder-driven destruction of a non-Fermi liquid semimetal via renormalization group
• Many-body topological invariants in fermionic symmetry protected topological phases: Cases of point group symmetries
• A bulk-boundary correspondence for dynamical phase transitions in one-dimensional topological insulators and superconductors
• A study on correlation effects in two dimensional topological insulators
• Magnetic ordering phenomena of interacting quantum spin Hall models
• Topological Spin Texture in a Quantum Anomalous Hall Insulator
• Quantum Metric and Correlated States in Two-dimensional Systems
• Bulk-edge correspondence for Chern topological phases: A viewpoint from a generalized index theorem
• SU(3) Spin-Orbit Coupling in Systems of Ultracold Atoms
• Topological carbon materials: a new perspective
• Topological zero modes and Dirac points protected by spatial symmetry and chiral symmetry
• Bicircular light tuning of magnetic symmetry and topology in Dirac semimetal Cd${}_3$As${}_2$
• Hidden-Symmetry-Protected Topological Semimetals on a Square Lattice
• Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model
• Learning Disordered Topological Phases by Statistical Recovery of Symmetry
• Conventional Superconductivity in Type II Dirac Semimetal PdTe${}_2$
• Symmetry-protected topological phases and orbifolds: Generalized Laughlin's argument
• Global phase diagram of a doped Kitaev-Heisenberg model
• Nonsymmorphic Weyl superconductivity in UPt_3 based on E_2u representation
• Equivalent topological invariants for one-dimensional Majorana wires in symmetry class D
• Quantum phase transitions between bosonic symmetry protected topological phases in two dimensions: emergent $QE{D}_3$ and anyon superfluid
• Topological Superconducting Phases of Weakly Coupled Quantum Wires
• Bosonic topological phases of matter: bulk-boundary correspondence, SPT invariants and gauging
• Superconductivity in doped Dirac semimetals
• Andreev reflection in the fractional quantum Hall state
• Superconductivity of disordered Dirac fermions
• ${\mathbb{Z}}_2$-projective translational symmetry protected topological phases
• Machine Learning Topological Phases with a Solid-state Quantum Simulator
• Deep Learning the Quantum Phase Transitions in Random Electron Systems: Applications to Three Dimensions
• UPt${}_3$ as a Topological Crystalline Superconductor
• From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model
• Laser-induced topological transitions in phosphorene with inversion symmetry
• Topological indices, defects and Majorana fermion in chiral superconductors
• Quantum computation via Floquet topological edge modes
• Symmetric Fermion Mass Generation as Deconfined Quantum Criticality
• Symmetries, Dimensions, and Topological Insulators: the mechanism behind the face of the Bott clock
• Chiral Dirac Superconductors: Second-order and Boundary-obstructed Topology
• Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function
• Topo-fermiology
• Noncommutative geometry for three-dimensional topological insulators
• Construction and classification of symmetry protected topological phases in interacting fermion systems
• Collective modes in nodal line semimetals
• Multiple Unpinned Dirac Points in Group-Va Single-layers with Phosphorene Structure
• Weak localization and weak anti-localization in topological insulators
• Classification of Symmetry-Protected Phases for Interacting Fermions in Two Dimensions
• ${\mathbb{Z}}_Q$ Berry Phase for Higher-Order Symmetry-Protected Topological Phases
• Momentum-space structure of surface states in a topological semimetal with a nexus point of Dirac lines
• Edge-of-edge States
• Quantum simulation of exotic PT-invariant topological nodal loop bands with ultracold atoms in an optical lattice
• Quasi-one-dimensional Quantum Anomalous Hall Systems as New Platforms for Scalable Topological Quantum Computation
• Local invariants identify topology in metals and gapless systems
• Anomalous normal fluid response in a chiral superconductor UTe2
• Three-dimensional topological phase on the diamond lattice
• Surface Majorana Cone of the Superfluid ${}^3$He B Phase
• Competition between d-wave and topological p-wave superconductivity in the doped Kitaev-Heisenberg model
• Topological phase in one-dimensional interacting fermion system
• Composite Dirac liquids: parent states for symmetric surface topological order
• Turning a Band Insulator Into an Exotic Superconductor
• Bott periodicity for $Z_2$ symmetric ground states of gapped free-fermion systems
• Symmetry indicators of band topology
• Dynamical detection of topological charges
• Superconductivity in topologically nontrivial material Au2Pb
• Hopf-link multi-Weyl-loop topological semimetals
• Patterns of Electro-magnetic Response in Topological Semi-metals
• Fate of Majorana fermions and Chern numbers after a quantum quench
• SU(2) slave-boson formulation of spin nematic states in S=1/2 frustrated ferromagnets
• Thermal Instability of Protected End States in a 1-D Topological Insulator
• Measuring the winding number in a large-scale chiral quantum walk
• Current at a distance and resonant transparency in Weyl semimetals
• Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems
• Kaleidoscope of symmetry protected topological phases in one-dimensional periodically modulated lattices
• Response Properties of Axion Insulators and Weyl Semimetals Driven by Screw Dislocations and Dynamical Axion Strings
• Topological Quantum Liquids with Long-Range Couplings
• Classification of topological insulators and superconductors out of equilibrium
• Switching spinless and spinful topological phases with projective $PT$ symmetry
• ${\mathbb{Z}}_2$ Topological Invariant for Magnon Spin Hall Systems
• Projective Ribbon Permutation Statistics: a Remnant of non-Abelian Braiding in Higher Dimensions
• Spherical topological insulator
• Topological Mirror Insulators in One Dimension
• Absence of zero-energy surface bound states in CuxBi2Se3 via a study of Andreev reflection spectroscopy
• Universality in driven open quantum matter
• Universality classes of topological phase transitions with higher-order band crossing
• Topological Weyl Superconductor to Diffusive Thermal Hall Metal Crossover in the B-Phase of UPt${}_3$
• Interaction effects on 1D fermionic symmetry protected topological phases
• Topological minigap in quasi-one-dimensional spin-orbit-coupled semiconductor Majorana wires
• Classification of Crystalline Topological Insulators and Superconductors with Point Group Symmetries
• Anomalous Topological Pumps and Fractional Josephson Effects
• Chiral Topological Superconductors Enhanced by Long-Range Interactions
• Symmetry-protected Topological Phases, Generalized Laughlin Argument and Orientifolds
• Floquet higher-order topological insulators and superconductors with space-time symmetries
• Symmetry-Breaking Topological Insulators in the ${\mathbb{Z}}_2$ Bose-Hubbard Model
• Edge states and topological insulating phases generated by curving a nanowire with Rashba spin-orbit coupling
• Electronic structure of a superconducting topological insulator Sr-doped Bi2Se3
• Superconductivity on the surface of topological insulators and in two-dimensional noncentrosymmetric materials
• Conductance of a superconducting Coulomb blockaded Majorana nanowire
• Discrete spin structures and commuting projector models for 2d fermionic symmetry protected topological phases
• Universal Optical Control of Chiral Superconductors and Majorana Modes
• Chiral projected entangled-pair state with topological order
• A new superconductor derived from topological insulator heterostructure
• Dynamical delocalization of Majorana edge states by sweeping across a quantum critical point
• Dirac-Fermion-Induced Parity Mixing in Superconducting Topological Insulators
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Surface floating 2D bands in layered nonsymmorphic semimetals: ZrSiS and related compounds
• Momentum space metric, non-local operator, and topological insulators
• Topology Classification from Chiral Symmetry: Chiral Phase Index and Spin Correlations in Graphene Nanoribbons
• Majorana bound states in open quasi-1D and 2D systems with transverse Rashba coupling
• Conflicting Symmetries in Topologically Ordered Surface States of Three-dimensional Bosonic Symmetry Protected Topological Phases
• Topological crystalline superconductivity in locally noncentrosymmetric CeRh${}_2$As${}_2$
• Interacting fermionic symmetry-protected topological phases in two dimensions
• Effective field theories for topological insulators by functional bosonization
• Band Gap Closing in a Synthetic Hall Tube of Neutral Fermions
• A many-body index for quantum charge transport
• Classification of phases for mixed states via fast dissipative evolution
• Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena
• Mott insulators with boundary zeros
• Observation of the spin-polarized surface state in a noncentrosymmetric superconductor BiPd
• Majorana zero modes in dislocations of Sr${}_2$RuO${}_4$
• Probing Atomic Majorana Fermions in Optical Lattices
• Symmetry Fractionalization in Two Dimensional Topological Phases
• Three-dimensional superconductors with hybrid higher order topology
• Dimensional transmutation from non-Hermiticity
• Topological states in quasicrystals
• Superconductivity in magnetic multipole states
• The effects of interaction on quantum spin Hall insulators
• Engineering three-dimensional topological insulators in Rashba-type spin-orbit coupled heterostructures
• Mapping the Topological Phase Diagram of Multiband Semiconductors with Supercurrents
• Atomic limit and inversion-symmetry indicators for topological superconductors
• Symmetry protected topological phases characterized by isolated exceptional points
• Topological origin of edge states in two-dimensional inversion-symmetric insulators and semimetals
• Topological bands and triply-degenerate points in non-Hermitian hyperbolic metamaterials
• Topologically Protected Quantum Coherence in a Superatom
• Localized end states in density modulated quantum wires and rings
• Spin Triplet Superconductivity in Sr2RuO4 due to Orbital and Spin Fluctuations: Analysis by Two-Dimensional Renormalization Group Theory
• From Standard Model of particle physics to room-temperature superconductivity
• Spin-triplet superconductivity in Sr2RuO4 due to orbital and spin fluctuations: Analyses by two-dimensional renormalization group theory and self-consistent vertex-correction method
• Non-Hermitian Boundary State Engineering in Anomalous Floquet Topological Insulators
• Weyl nodal surfaces
• Topological photonic states in one-dimensional dimerized ultracold atomic chains
• Realization of a Hopf insulator in circuit systems
• Topological classification and diagnosis in magnetically ordered electronic materials
• Measurement of Topological Order based on Metric-Curvature Correspondence
• Topological Phase Transition Independent of System Non-Hermiticity
• Topological phonon polaritons in one-dimensional non-Hermitian nanoparticle chains
• Proximity induced superconductivity in Weyl semi-metals
• Bulk invariants and topological response in insulators and superconductors with nonsymmorphic symmetries
• Detecting edge degeneracy in interacting topological insulators through entanglement entropy
• Topological Crystalline Superconductivity in Locally Non-centrosymmetric Multilayer Superconductors
• Quasi-Topological Electromagnetic Response of Line-node Semimetals
• Stable topological phases in a family of two-dimensional fermion models
• Disorder-induced metal-insulator transitions in three-dimensional topological insulators and superconductors
• Topological invariants, surface states, and interaction-driven phase transitions in correlated Kondo insulators with cubic symmetry
• Real-space recipes for general topological crystalline states
• Symmetry-protected topological phases in lattice gauge theories: topological QED${}_2$
• The gauge-field extended $k\cdot p$ method and novel topological phases
• Topological invariants for Standard Model: from semi-metal to topological insulator
• A moiré superlattice on the surface of a topological insulator
• Topological classification under nonmagnetic and magnetic point group symmetry: Application of real-space Atiyah-Hirzebruch spectral sequence to higher-order topology
• Wannier representation of Floquet topological states
• Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems
• Atiyah-Hirzebruch Spectral Sequence in Band Topology: General Formalism and Topological Invariants for 230 Space Groups
• From Bosonic Topological Transition to Symmetric Fermion Mass Generation
• Topology and Observables of the Non-Hermitian Chern Insulator
• Quantum impurity spin in Majorana edge fermions
• Characterization of topological phase transitions via topological properties of transition points
• Revealing a topological connection between stabilities of Fermi surfaces and topological insulators/superconductors
• Many-body effects and possible superconductivity in the 2D metallic surface states of 3D topological insulators
• Topologically induced avoided band crossing in an optical chequerboard lattice
• Boundary states of 4D topological matter: Emergence and full 3D-imaging of nodal Seifert surfaces
• Minimalist approach to the classification of symmetry protected topological phases
• Spintronics and spincaloritronics in topological insulators
• Theory of time reversal topological superconductivity in double Rashba wires -- symmetries of Cooper pair and Andreev bound states
• Conversion rules for Weyl points and nodal lines in topological media
• Fermionic time-reversal symmetry in a photonic topological insulator
• Characterizing Topological Order with Matrix Product Operators
• Bulk electronic state of superconducting topological insulator
• Symmetry indicators for topological superconductors
• Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
• Signatures of a topological phase transition in a planar Josephson junction
• Strong interlayer coupling and stable topological flat bands in twisted bilayer photonic Moire superlattices
• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• Four-band non-Abelian topological insulator and its experimental realization
• Projected Entangled Pair States with non-Abelian gauge symmetries: an SU(2) study
• Topological Dirac line nodes and superconductivity coexist in SnSe at high pressure
• Continuous and discontinuous topological quantum phase transitions
• Parity-controlled $2\pi$ Josephson effect mediated by Majorana Kramers pairs
• Finite-size energy gap in weak and strong topological insulators
• Time Reversal Symmetric Topological Exciton Condensate in Bilayer HgTe Quantum Wells
• The Bulk-Edge Correspondence for Disordered Chiral Chains
• Low-energy sub-gap states in multi-channel Majorana wires
• Non-Commutative Chern Numbers for Generic Aperiodic Discrete Systems
• Topological Edge Modes by Smart Patterning
• Loop Braiding Statistics and Interacting Fermionic Symmetry-Protected Topological Phases in Three Dimensions
• Single particle excitations in disordered Weyl fluids
• Anderson localization and the topology of classifying spaces
• Topological quantum critical points in the extended Bose-Hubbard model
• Time-reversal anomaly and Josephson effect in time-reversal invariant topological superconductors
• Fractional Topological Insulators: from sliding Luttinger Liquids to Chern-Simons theory
• Quasi 1D topological nodal vortex line phase in doped superconducting 3D Dirac Semimetals
• Majorana Corner Modes in a Second-Order Kitaev Spin Liquid
• Magnetic Field Response and Chiral Symmetry of Time Reversal Invariant Topological Superconductors
• Multicellularity of delicate topological insulators
• Index pairings in presence of symmetries with applications to topological insulators
• Exceptional band touching for strongly correlated systems in equilibrium
• Crystalline symmetry protected helical Majorana modes in the iron pnictides
• Topological Properties of Gapped Graphene Nanoribbons with Spatial Symmetries
• Spin current and spin accumulation near a Josephson junction between a singlet and triplet superconductor
• Probe of Three-Dimensional Chiral Topological Insulators in an Optical Lattice
• Realizing Quantum Materials with Helium: Helium films at ultralow temperatures, from strongly correlated atomically layered films to topological superfluidity
• Classification of "Real" Bloch-bundles: Topological quantum systems of type AI
• Nonlinear optical effects in inversion-symmetry-breaking superconductors
• Axionic superconductivity in three dimensional doped narrow gap semiconductors
• Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• Symmetries and boundary theories for chiral Projected Entangled Pair States
• Floquet edge states in a harmonically driven integer quantum Hall system
• Winding numbers of phase transition points for one-dimensional topological systems
• Phonon-induced Floquet second-order topological phases protected by space-time symmetries
• Selective Population of Edge States in a 2D Topological Band System
• Qsymm: Algorithmic symmetry finding and symmetric Hamiltonian generation
• Crossing-Line-Node Semimetals: General Theory and Application to Rare-Earth Trihydrides
• Electric circuit simulations of $n$th-Chern insulators in $2n$-dimensional space and their non-Hermitian generalizations for arbitral $n$
• Topological superconductivity in doped magnetic moiré semiconductors
• Multi-critical Behavior in Topological Phase Transitions
• Fragile topological phases in interacting systems
• The phase transitions between $Z_n\times Z_n$ bosonic topological phases in 1+1 D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases
• Vortex end Majorana zero modes in superconducting Dirac and Weyl semimetals
• Symmetry protected topological phases of 1D interacting fermions with spin-charge separation
• Direct prediction of corner state configurations from edge winding numbers in 2D and 3D chiral-symmetric lattice systems
• Flat Majorana bands in 2-d lattices with inhomogeneous magnetic fields: topology and stability
• Interaction-induced anomalous quantum Hall state on the honeycomb lattice
• Bulk Entanglement Spectrum Reveals Quantum Criticality within a Topological State
• Higher Dimensional Quantum Hall Effect as A-Class Topological Insulator
• Hyperbolic Band Theory under Magnetic Field and Dirac Cones on a Higher Genus Surface
• The Noncommutative Index Theorem and the Periodic Table for Disordered Topological Insulators and Superconductors
• Floquet chiral magnetic effect
• Exact Higher-order Bulk-boundary Correspondence of Corner-localized States
• Topological Phases Protected By Reflection Symmetry and Cross-cap States
• Topological Edge States with Zero Hall Conductivity in a Dimerized Hofstadter Model
• Random-matrix theory of Andreev reflection from a topological superconductor
• Topological Properties of Time Reversal Symmetric Kitaev Chain and Applications to Organic Superconductors
• Josephson and proximity effects on the surface of a topological insulator
• Direct Probe of Topological Order for Cold Atoms
• A noncommutative framework for topological insulators
• Andreev spectroscopy and surface density of states for a three-dimensional time-reversal invariant topological superconductor
• Topological Route to New and Unusual Coulomb Spin Liquids
• Topological invariants and corner states for Hamiltonians on a three-dimensional lattice
• Stabilizing multiple topological fermions on a quantum computer
• Experimental Detection of the Quantum Phases of a Three-Dimensional Topological Insulator on a Spin Quantum Simulator
• Edge State Induced Andreev Oscillation in Quantum Anomalous Hall Insulator-Superconductor Junctions
• Line nodes, Dirac points and Lifshitz transition in 2D nonsymmorphic photonic crystals
• Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices
• Filling anomaly for general 2D and 3D $C_4$ symmetric lattices
• Tuning the distance to a possible ferromagnetic quantum critical point in A2Cr3As3
• Scaling Theory of Topological Phase Transitions
• Non-linear Hall Effects: Mechanisms and Materials
• Time reversal invariant topological superconductivity in correlated non-centrosymmetric systems
• CPT theorem and classification of topological insulators and superconductors
• Topological Crystalline Materials of $J=3/2$ Electrons: Antiperovskites, Dirac points, and High Winding Topological Superconductivity
• Strong Correlation Effects on Topological Quantum Phase Transitions in Three Dimensions
• Universal Entanglement Spectra of Gapped One-dimensional Field Theories
• Dissipation-induced topological insulators: A no-go theorem and a recipe
• Majorana Excitations, Spin- and Mass Currents on the Surface of Topological Superfluid ${}^3$He-B
• Topological superconductivity in quasicrystals
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Excess charges as a probe of one-dimensional topological crystalline insulating phases
• Topological transitions of interacting bosons in one-dimensional bi-chromatic optical lattices
• Edge quantum criticality and emergent supersymmetry in topological phases
• Spinful topological phases in acoustic crystals with projective PT symmetry
• Coexisting edge states and gapless bulk in topological states of matter
• Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO${}_3$
• Symmetry Protected Topological Metals
• Gross-Neveu-Wilson model and correlated symmetry-protected topological phases
• Critical theories of phase transition between symmetry protected topological states and their relation to the gapless boundary theories
• Scattering theory of chiral Majorana fermion interferometry
• Valley Hall phases in Kagome lattices
• Interaction-mediated surface state instability in disordered three-dimensional topological superconductors with spin SU(2) symmetry
• Two-dimensional Chern semimetals on the Lieb lattice
• Kramers Nodal Line Metals
• Topological input-output theory for directional amplification
• Spin-triplet superconductivity from interband effect in doped insulators
• Anderson localization and topological transition in Chern insulators
• Asymptotic Correlations in Gapped and Critical Topological Phases of 1D Quantum Systems
• Anomalous Crystal Symmetry Fractionalization on the Surface of Topological Crystalline Insulators
• Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models
• A Non-Perturbative Definition of the Standard Models
• Stroboscopic Symmetry-Protected Topological Phases
• Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
• Survival of the quantum anomalous Hall effect in orbital magnetic fields as a consequence of the parity anomaly
• Weak (anti-)localization in doped Z_2-topological insulator
• Symmetry-protected Topological Phases at Finite Temperature
• Universal topological marker
• From an array of quantum wires to three-dimensional fractional topological insulators
• Simulation of Higher-Order Topological Phases and Related Topological Phase Transitions in a Superconducting Qubit
• Antiferromagnetic Topological Superconductor and Electrically Controllable Majorana Fermions
• Möbius topological superconductivity in UPt${}_3$
• Topological phases of quasi-one-dimensional fermionic atoms with a synthetic gauge field
• Transport through a quantum spin Hall quantum dot
• Topological pi Josephson junction in superconducting Rashba wires
• Bulk metals with helical surface states
• Models of Superconducting Cu:Bi2Se3: single versus two-band description
• Symmetry and topological classification of Floquet non-Hermitian systems
• Edge currents as a signature of flat bands in topological superconductors
• Topological space-time crystal
• Tensor Berry connections and their topological invariants
• Snake states and their symmetries in graphene
• Quantization of Conductance Minimum and Index Theorem
• Symmetries of multifractal spectra and field theories of Anderson localization
• Weak symmetry breaking in two dimensional topological insulators
• Topological and symmetry broken phases of Z_N parafermions in one dimension
• $Z_4$ Topological Superconductivity in UCoGe
• Coupled wire model of symmetric Majorana surfaces of topological superconductors
• Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI
• Universal spin-triplet superconducting correlations of Majorana fermions
• Unusual non saturating Giant Magneto-resistance in single crystalline Bi2Te3 topological insulator
• Reservoir-induced Thouless pumping and symmetry protected topological order in open quantum chains
• Observation of topological Euler insulators with a trapped-ion quantum simulator
• Chern mosaic - topology of chiral superconductivity on ferromagnetic adatom lattices
• Observation of Fermi-energy dependent unitary impurity resonances in a strong topological insulator Bi2Se3 with scanning tunneling spectroscopy
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Detecting topological superconductivity using low-frequency doubled Shapiro steps
• Superconducting doped topological materials
• Edge-Corner Correspondence: Boundary-Obstructed Topological Phases with Chiral Symmetry
• Model Hamiltonian and Time Reversal Breaking Topological Phases of Anti-ferromagnetic Half-Heusler Materials
• Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain
• Homotopy Theory of Strong and Weak Topological Insulators
• Two topologically distinct Dirac-line semimetal phases and topological phase transitions in rhombohedrally stacked honeycomb lattices
• Characterization of topological phases of modified dimerized Kitaev chain via edge correlation functions
• Three-dimensional topological magnon systems
• Topological States in Generalized Electric Quadrupole Insulators
• Exact solution to an interacting dimerized Kitaev model at symmetric point
• Fragile topology in line-graph lattices with two, three, or four gapped flat bands
• Quantum Monte Carlo study of lattice polarons in the two-dimensional multi-orbital Su-Schrieffer-Heeger model
• Characterizing topological phases by quantum quenches: A general theory
• Crystalline Kitaev spin liquids
• Majorana flat bands, chiral Majorana edge states, and unidirectional Majorana edge states in noncentrosymmetric superconductors
• $Z_N$ Berry Phases in Symmetry Protected Topological Phases
• Criticality of the metal-topological insulator transition driven by disorder
• Domain wall in a chiral p-wave superconductor: a pathway for electrical current
• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides
• Friedel oscillations at the surfaces of rhombohedral $N$-layer graphene
• Is a color superconductor topological?
• Teleportation of Berry curvature on the surface of a Hopf insulator
• Topological Fermi arcs in superfluid ${}^3$He
• Dependence of superconductivity in CuxBi2Se3 on quenching conditions
• Anomalous Proximity Effect and Theoretical Design for its Realization
• New class of 3D topological insulator in double perovskite
• Rotational Isotropy Breaking as Proof for Spin-polarized Cooper Pairs in the Topological Superconductor CuxBi2Se3
• Theory of quasiparticle interference in mirror symmetric 2D systems and its application to surface states of topological crystalline insulators
• Bulk-Defect Correspondence in Particle-Hole Symmetric Insulators and Semimetals
• Topological septet pairing with spin-$\frac{3}{2}$ fermions -- high partial-wave channel counterpart of the ${}^3$He-B phase
• An operator-based approach to topological photonics
• The Uhlmann connection in fermionic systems undergoing phase transitions
• Weakly Interacting Topological Insulators: Quantum Criticality and Renormalization Group Approach
• Higher-order topological superconductors based on weak topological insulators
• Topological properties of the long-range Kitaev chain with Aubry-André-Harper modulation
• Vortex-line topology in iron-based superconductors with and without second-order topology
• Disorder-induced Chern insulator in Harper--Hofstadter--Hatsugai model
• ${\mathbb{Z}}_N$ gauge theories coupled to topological fermions: QED${}_2$ with a quantum-mechanical $\theta$ angle
• Exhaustive List of Topological Hourglass Band Crossings in 230 Space Groups
• Perspective: Strongly correlated and topological states in [111] grown transition metal oxide thin films and heterostructures
• Phase-induced topological superconductivity in a planar heterostructure
• Mapping quantum geometry and quantum phase transitions to real space by a fidelity marker
• Magic angles and correlations in twisted nodal superconductors
• Topological phase transitions in glassy quantum matter
• Tuning topological superconductivity in helical Shiba chains by supercurrent
• Fracton physics of spatially extended excitations
• Holographic s+p Superconductors
• Anomalous suppression of the superfluid density in the CuxBi2Se3 superconductor upon progressive Cu intercalation
• Topological superconductivity in Kondo-Kitaev model
• Existence of zero-energy impurity states in different classes of topological insulators and superconductors and their relation to topological phase transitions
• Topological invariant for generic 1D time reversal symmetric superconductors in class DIII
• Inter-orbital topological superconductivity in spin-orbit coupled superconductors with inversion symmetry breaking
• Tenfold Topology of Crystals: Unified classification of crystalline topological insulators and superconductors
• Non-Hermitian topology in monitored quantum circuits
• Thermodynamic classification of three-dimensional Kitaev spin liquids
• Symmetry protected Z2-quantization and quaternionic Berry connection with Kramers degeneracy
• The Topological Relation Between Bulk Gap Nodes and Surface Bound States : Application to Iron-based Superconductors
• Symmetry-protected line nodes and Majorana flat bands in nodal crystalline superconductors
• Reconfigurable Microwave Photonic Topological Insulator
• Bulk-boundary correspondence for disordered free-fermion topological phases
• qeirreps: an open-source program for Quantum ESPRESSO to compute irreducible representations of Bloch wavefunctions
• End states in a 1-D topological Kondo insulator
• Axion coupling in the hybrid Wannier representation
• Topological magnon bound-states in periodically modulated Heisenberg XXZ chains
• Majorana state on the surface of a disordered 3D topological insulator
• Realizing Hopf Insulators in Dipolar Spin Systems
• Topological and non-topological features of generalized Su-Schrieffer-Heeger models
• Models of three-dimensional fractional topological insulators
• Quantum Field Theory Anomalies in Condensed Matter Physics
• Correlation-induced triplet pairing superconductivity in graphene-based moiré systems
• The fate and heir of Majorana zero modes in a quantum wire array
• Direction and symmetry transition of the vector order parameter in topological superconductors Cu${}_x$Bi${}_2$Se${}_3$
• Chern insulators for electromagnetic waves in electrical circuit networks
• Unconventional superconductivity in a doped quantum spin Hall insulator
• Chiral edge modes in evolutionary game theory: a kagome network of rock-paper-scissors
• Unsupervised and supervised learning of interacting topological phases from single-particle correlation functions
• Anisotropic topological superconductivity in Josephson junctions
• Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
• Interplay of local order and topology in the extended Haldane-Hubbard model
• Measuring topological invariants in polaritonic graphene
• Spin Helix of Magnetic Impurities in Two-dimensional Helical Metal
• Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality
• Persistent currents in Dirac fermion rings
• Corner states of topological fullerenes
• Intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene
• Spin-orbital groundstates of Superconducting doped topological insulators (A Majorana Platform)
• Topological Classification Table Implemented with Classical Passive Meta-Materials
• Andreev-Majorana bound states in superfluids
• Square-root topological phase with time-reversal and particle-hole symmetry
• Gapless surface states in a lattice of coupled cavities: a photonic analog of topological crystalline insulators
• Pairing state at an interface of Sr${}_2$RuO${}_4$: parity-mixing, restored time-reversal symmetry, and topological superconductivity
• Fidelity susceptibility near topological phase transitions in quantum walks
• Topological Boundary Modes from Translational Deformations
• Topological Superconductivity in an s-wave Superconductor and Its Implication to Iron-based Superconductors
• Local markers for crystalline topology
• Angular momentum and topology in semiconducting single-wall carbon nanotubes
• Topological superfluids on a lattice with non-Abelian gauge fields
• Density of states in a two-dimensional chiral metal with vacancies
• Chiral topological phases and fractional domain wall excitations in one-dimensional chains and wires
• Anomalous Nernst effect in type-II Weyl semimetals
• Phase structure of the interacting Su-Schrieffer-Heeger model and the relationship with the Gross-Neveu model on lattice
• Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
• Global phase diagram of a three dimensional dirty topological superconductor
• Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures
• Surface electronic state of superconducting topological crystalline insulator
• Majorana surface modes of nodal topological pairings in spin-$\frac{3}{2}$ semi-metals
• Squaring the fermion: The threefold way and the fate of zero modes
• Scaling Theory of ${\mathbb{Z}}_2$ Topological Invariants
• Non-Abelian Majorana modes protected by an emergent second Chern number
• Current transport properties and phase diagram of a Kitaev chain with long-range pairing
• Dirac States in an Inclined Two-Dimensional Su-Schrieffer-Heeger Model
• Trapped state at a dislocation in a weak magnetomechanical topological insulator
• Interaction effects on the classification of crystalline topological insulators and superconductors
• Synthetic spin-orbit interactions and magnetic fields in ring-cavity QED
• Current- and field-induced topology in twisted nodal superconductors
• Intrinsic first and higher-order topological superconductivity in a doped topological insulator
• Probing topological superconductors with emergent gravity
• Edge Current due to Majorana Fermions in Superfluid ${}^3$He A- and B-Phases
• Second-Order Bulk-Boundary Correspondence in Rotationally Symmetric Topological Superconductors from Stacked Dirac Hamiltonians
• Topological Insulators and Quantum Spin Liquids
• Topological Nonsymmorphic Crystalline Superconductors
• Geometrically protected triple-point crossings in an optical lattice
• Winding number and Zak phase in multi-band SSH models
• Classical Spin Spirals in Frustrated Magnets from Free-Fermion Band Topology
• Universal platform of point-gap topological phases from topological materials
• Unification of bosonic and fermionic theories of spin liquids on the kagome lattice
• Topological properties of subsystem-symmetry-protected edge states in an extended quasi-one-dimensional dimerized lattice
• Edge and bulk localization of Floquet topological superconductors
• Electrically tunable topological superconductivity and Majorana fermions in two dimensions
• Anomalous interference in Aharonov-Bohm rings with two Majorana bound states
• Antiferromagnetic topological insulator state in the correlated Bernevig-Hughes-Zhang model
• Singular-Value Statistics of Non-Hermitian Random Matrices and Open Quantum Systems
• Topological properties of Floquet winding bands in a photonic lattice
• Topological Insulators and Superconductors from String Theory
• Fermion masses without symmetry breaking in two spacetime dimensions
• Majorana quasiparticles in semiconducting carbon nanotubes
• Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model
• Topological superconductors as nonrelativistic limits of Jackiw-Rossi and Jackiw-Rebbi models
• No-go theorem for a time-reversal invariant topological phase in noninteracting systems coupled to conventional superconductors
• The fate of interaction-driven topological insulators under disorder
• Can deeply underdoped superconducting cuprates be topological superconductors?
• Lieb-Schultz-Mattis theorems for symmetry protected topological phases
• Classifying topology in photonic heterostructures with gapless environments
• Possible devil's staircase in the Kondo lattice CeSbSe
• Topological superconductivity from magnetic impurities on monolayer NbSe${}_2$
• Tunable Majorana corner modes in noncentrosymmetric superconductors: Tunneling spectroscopy and edge imperfections
• Self-organized topological insulator due to cavity-mediated correlated tunneling
• Higher Anomalies, Higher Symmetries, and Cobordisms III: QCD Matter Phases Anew
• Time-reversal symmetric Kitaev model and topological superconductor in two dimensions
• Classification of crystalline insulators without symmetry indicators: atomic and fragile topological phases in twofold rotation symmetric systems
• Josephson effect in superconducting wires supporting multiple Majorana edge states
• Probability and (Braiding) Statistics in Majorana nanowires
• Four-dimensional semimetals with tensor monopoles: From surface states to topological responses
• Superfluid 3He in a restricted geometry with a perpendicular magnetic field
• Relationship between Symmetry Protected Topological Phases and Boundary Conformal Field Theories via the Entanglement Spectrum
• Phase-dependent Andreev molecules and superconducting gap closing in coherently coupled Josephson junctions
• Signatures and conditions for phase band crossings in periodically driven integrable systems
• Observation of topological links associated with Hopf insulators in a solid-state quantum simulator
• Antiferromagnetism-driven two-dimensional topological nodal-point superconductivity
• Topological states and quantized current in helical molecules
• Topological Invariant and Quantum Spin Models from Magnetic π Fluxes in Correlated Topological Insulators
• Theory of a 3+1D fractional chiral metal: interacting variant of the Weyl semimetal
• Topological and flat bands states induced by hybridized interactions in one-dimensional photonic lattices
• Dimensional crossover and cold-atom realization of topological Mott insulators
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• Fractional $S$-duality, Classification of Fractional Topological Insulators and Surface Topological Order
• Reduced density matrix and order parameters of a topological insulator
• Quantum Computing with Majorana Kramers Pairs
• Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
• Spin-directed network model for the surface states of weak three-dimensional ${\mathbb{Z}}_2^{}$ topological insulators
• Space, matter and topology
• Floquet Non-Abelian Topological Insulator and Multifold Bulk-Edge Correspondence
• Topological edge states on time-periodically strained armchair graphene nanoribbons
• Nonlinear Dirac Cones
• Edge mass current and roles of Majorana Fermions in superfluid 3He A-phase
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Direct dynamical characterization of higher-order topological insulators with nested band inversion surfaces
• The Origin of Families and $SO(18)$ Grand Unification
• Topological stability of Majorana zero-modes in superconductor-topological insulator systems
• Revealing Topology in Metals using Experimental Protocols Inspired by $K$-Theory
• Symmetry breaking effects on spin and electronic transport in graphene
• DIII Topological Superconductivity with Emergent Time-Reversal Symmetry
• Topological Protection from Random Rashba Spin-Orbit Backscattering: Ballistic Transport in a Helical Luttinger Liquid
• Anomalous surface states at interfaces in p-wave superconductors
• Theory of quasiparticle scattering interference on the surface of topological superconductors
• Nonanalyticity of circuit complexity across topological phase transitions
• Relating the entanglement spectrum of noninteracting band insulators to their quantum geometry and topology
• Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
• Bulk angular momentum and Hall viscosity in chiral superconductors
• Stability of surface states of weak ${\mathbb{Z}}_2$ topological insulators and superconductors
• Double-frequency Aharonov-Bohm effect and non-Abelian braiding properties of Jackiw-Rebbi zero-mode
• Topological features of ground states and topological solitons in generalized Su-Schrieffer-Heeger models using generalized time-reversal, particle-hole, and chiral symmetries
• Transport signatures of superconducting hybrids with mixed singlet and chiral triplet states
• Three-Dimensional Topological Insulator in a Magnetic Field: Chiral Side Surface States and Quantized Hall Conductance
• Topological dynamics of gyroscopic and Floquet lattices from Newton's laws
• Change of an insulator's topological properties by a Hubbard interaction
• Spin diffusion and magnetoresistance in ferromagnet/topological-insulator junctions
• Demonstrating Lattice-Symmetry-Protection in Topological Crystalline Superconductors
• Topological phases, topological flat bands, and topological excitations in a one-dimensional dimerized lattice with spin-orbit coupling
• Topological Insulators and Superconductors from D-branes
• Symmetry-enforced topological band crossings in orthorhombic crystals: Classification and materials discovery
• Quantum dynamical characterization and simulation of topological phases with high-order band inversion surfaces
• Topological Crystalline Phases in a Disordered Inversion-Symmetric Chain
• Disordered Weyl semimetals and their topological family
• Topological insulating phases in mono and bilayer graphene
• Classification of spin liquids on the square lattice with strong spin-orbit coupling
• Index theorem and Majorana zero modes along a non-Abelian vortex in a color superconductor
• Higher-order topological insulators in a magnetic field
• Topological continuum charges of acoustic phonons in 2D
• Dirac lines and loop at the Fermi level in the Time-Reversal Symmetry Breaking Superconductor LaNiGa${}_2$
• Discrete-time quantum walk algorithm for ranking nodes on a network
• Topological superconductivity in ferromagnetic atom chains beyond the deep-impurity regime
• Platform of chiral Majorana edge modes and its quantum transport phenomena
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Floquet engineering of individual band gaps in an optical lattice using a two-tone drive
• Zeeman-field-induced nontrivial topological phases in a one-dimensional spin-orbit-coupled dimerized lattice
• Bott periodicity for the topological classification of gapped states of matter with reflection symmetry
• Anisotropic magnetic responses of topological crystalline superconductors
• Disorder-enhanced topological protection and universal quantum criticality in a spin-3/2 topological superconductor
• Kondo Signatures of a Quantum Magnetic Impurity in Topological Superconductors
• Interaction-driven topological superconductivity in one dimension
• Chiral topological insulator of magnons
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Detection of symmetry-protected topological order in AKLT states by exact evaluation of the strange correlator
• Classification of dynamical Lie algebras for translation-invariant 2-local spin systems in one dimension
• Implementing a synthetic magnetic vector potential in a 2D superconducting qubit array
• Correlation effects on topological crystalline insulators
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Topological p+ip superconductivity in doped graphene-like single-sheet materials BC${}_3$
• Chalker scaling, level repulsion, and conformal invariance in critically delocalized quantum matter: Disordered topological superconductors and artificial graphene
• Orbital embedding and topology of one-dimensional two-band insulators
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
• Antiferromagnetic topological insulators in cold atomic gases
• Tunable proximity effects and topological superconductivity in ferromagnetic hybrid nanowires
• Multifractal nature of the surface local density of states in three-dimensional topological insulators with magnetic and nonmagnetic disorder
• Majorana multipole response of topological superconductors
• Edge states, corner states, and flat bands in a two-dimensional $\mathcal{P}\mathcal{T}$ symmetric system
• Multiple-gap response of type-I noncentrosymmetric BeAu superconductor
• Electromagnetic and thermal responses of Z topological insulators and superconductors in odd spatial dimensions
• Finite-temperature topological invariant for interacting systems
• Chain of Majorana States from Superconducting Dirac Fermions at a Magnetic Domain Wall
• Deep learning of topological phase transitions from entanglement aspects
• Majorana Fermion Rides on a Magnetic Domain Wall
• Seeing bulk topological properties of band insulators in small photonic lattices
• Counting Majorana zero modes in superconductors
• Noncrystalline topological superconductors
• Confinement and Fermion Doubling Problem in Dirac-like Hamiltonians
• Evolution of Edge States and Critical Phenomena in the Rashba Superconductor with Magnetization
• Fate of Majorana modes in ${\mathrm{CeCoIn}}_5$/${\mathrm{YbCoIn}}_5$ superlattices -a test bed for reduction of topological classification-
• Quantum criticality at the Chern-to-normal insulator transition
• Enhanced higher harmonic generation from nodal topology
• Influence of the impurity scattering on charge transport in unconventional superconductor junctions
• Gapless edge states of BF field theory and translation-symmetric Z2 spin liquids
• Detecting Majorana fermions in quasi-one-dimensional topological phases using nonlocal order parameters
• Three-dimensional topological phases in a layered honeycomb spin-orbital model
• Fermion decoration construction of symmetry protected trivial orders for fermion systems with any symmetries $G_f$ and in any dimensions
• Short-Range Entangled Bosonic States with Chiral Edge Modes and $T$-duality of Heterotic Strings
• Spin-textures, Berry's phase and Quasiparticle Interference in Bi2Te3: A Topological Insulator with Warped Surface States
• Observation of Dirac surface states in the noncentrosymmetric superconductor BiPd
• Dissipative analog of four-dimensional quantum Hall physics
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Universality classes of the Anderson transition in three-dimensional symmetry classes AIII, BDI, C, D and CI
• The New Phase due to Symmetry Protected Piecewise Berry Phases; Enhanced Pumping and Non-reciprocity in Trimer Lattices
• Systematic Construction of tight-binding Hamiltonians for Topological Insulators and Superconductors
• Stability of flat-band edge states in topological superconductors without inversion center
• Nodal Andreev Spectra in Multi-Majorana Three-Terminal Josephson Junctions
• Conductance through disordered graphene nanoribbons: Standard and anomalous electron localization
• Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder
• Symmetry-enforced Band Nodes in 230 Space Groups
• Determining quantum phase diagrams of topological Kitaev-inspired models on NISQ quantum hardware
• One-dimensional topological metal
• No-go theorem for topological insulators and sure-fire recipe for Chern insulators
• Holographic fractional topological insulators in 2+1 and 1+1 dimensions
• Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
• Topological invariants to characterize universality of boundary charge in one-dimensionalinsulators beyond symmetry constraints
• Uhlmann number in translational invariant systems
• Quantum Phase Transition and Entanglement in Topological Quantum Wires
• Fragility of surface states in topological superfluid ${}^3$He
• Fermi surface, possible unconventional fermions, and unusually robust resistive critical fields in the chiral-structured superconductor AuBe
• Dimensional hierarchy of fermionic interacting topological phases
• Spin Berry phase in the Fermi arc states
• Single full gap with mixed type-I and type-II superconductivity on surface of the type-II Dirac semimetal PdTe2 by point-contact spectroscopy
• Unification of topological invariants in Dirac models
• Study of the phase diagram of the Kitaev-Hubbard chain
• Berry Phase and Topology in Ultrastrongly Coupled Quantum Light-Matter Systems
• Topology and symmetry of surface Majorana arcs in cyclic superconductors
• Dipolar spin waves in uniaxial easy-axis antiferromagnets: A natural topological nodal-line semimetal
• Absence of equilibrium edge currents in theoretical models of topological insulators
• Mirror Majorana zero modes in spinful superconductors/superfluids -Non-Abelian braiding of integer quantum vortices-
• ${}^3{P}_2$ Superfluids Are Topological
• Fractional chiral superconductors
• Bulk-edge correspondence for nonlinear eigenvalue problems
• Dirac returns: non-Abelian statistics of vortices with Dirac fermions
• Systematic Quantum Cluster Typical Medium Method For the Study of Localization in Strongly Disordered Electronic Systems
• Edge insulating topological phases in a two-dimensional long-range superconductor
• Topological Vortex Phase Transitions in Iron-Based Superconductors
• Engineering quantum anomalous Hall phases with orbital and spin degrees of freedom
• Fate of topological states in incommensurate generalized Aubry-André models
• Dimensional Tuning of Majorana Fermions and the Real Space Counting of the Chern Number
• Generation and Manipulation of Localized Modes in Floquet Topological Insulators
• Non-magnetic impurity effects in a three-dimensional topological superconductor: From p- to s-wave behaviors
• Interaction-Induced Renormalization of Tunneling into Multiple Majorana End States of a Topological Superconducting Wire
• Effect of Strong Disorder on 3-Dimensional Chiral Topological Insulators: Phase Diagrams, Maps of the Bulk Invariant and Existence of Topological Extended Bulk States
• Signatures of topology in quantum quench dynamics and their interrelation
• Shiba chains of scalar impurities on unconventional superconductors
• Polarization and entanglement spectrum in non-hermitian systems
• Mechanism for unconventional superconductivity in the hole-doped Rashba-Hubbard model
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
• Parafermionic wires at the interface of chiral topological states
• Correlated triple-Weyl semimetals with Coulomb interactions
• Topological invariants based on generalized position operators and application to the interacting Rice-Mele model
• Current fluctuations in unconventional superconductor junctions with impurity scattering
• Symmetries as the guiding principle for flattening bands of Dirac fermions
• Majorana fermions in spin-singlet nodal superconductors with coexisting non-collinear magnetic order
• The Z_2 network model for the quantum spin Hall effect: two-dimensional Dirac fermions, topological quantum numbers, and corner multifractality
• Geometric Phases for Mixed States of the Kitaev Chain
• Floquet Engineering Ultracold Polar Molecules to Simulate Topological Insulators
• Dissipationless Spin Current between Two Coupled Ferromagnets
• Three-phase Majorana zero modes at tiny magnetic fields
• Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
• Topological superconductivity in a multichannel Yu-Shiba-Rusinov chain
• Embedded Topological Insulators
• Density waves in strongly correlated quantum chains
• Long-Range Free Fermions: Lieb-Robinson Bound, Clustering Properties, and Topological Phases
• The tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
• Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
• Tunneling between Two Helical Superconductors via Majorana Edge Channels
• Proximity-induced topological phases in bilayer graphene
• Corner- and sublattice-sensitive Majorana zero modes on the kagome lattice
• The K-Theoretic Bulk-Boundary Principle for Dynamically Patterned Resonators
• Disorder driven phase transitions in weak AIII topological insulators
• Chiral d-wave superfluid in periodically driven lattices
• Detecting and identifying 2D symmetry-protected topological, symmetry-breaking and intrinsic topological phases with modular matrices via tensor-network methods
• Persistence of Topological Phases in Non-Hermitian Quantum Walks
• Signatures of metal-insulator and topological phase transitions in the entanglement of one-dimensional disordered fermions
• Landau Levels of the Euler Class Topology
• Topological Origin of the Fermion Sign Problem
• Interaction and disorder effects in 3D topological insulator thin films
• Quasi-classical theory of tunneling spectroscopy in superconducting topological insulator
• Charged Topological Entanglement Entropy
• Disentangling supercohomology symmetry-protected topological phases in three spatial dimensions
• Quantum Engineering of Majorana Fermions
• Topological spin ordering via Chern-Simons superconductivity
• Interface currents in topological superconductor-ferromagnet heterostructures
• Excitonic and Nematic Instabilities on the Surface of Topological Kondo Insulators
• Exceptional points for chiral Majorana fermions in arbitrary dimensions
• A classification of magnetic frustration and metamaterials from topology
• Correlations, long-range entanglement and dynamics in long-range Kitaev chains
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Disorder effects in correlated topological insulators
• Evolution of the topologically protected surface states in superconductor $\beta$-Bi${}_2$Pd from the three-dimensional to the two-dimensional limit
• Topological Invariants and Ground-State Wave Functions of Topological Insulators on a Torus
• Induced superconductivity in Fermi arcs
• On adiabatic cycles of quantum spin systems
• Vacancy-Engineered Flat-Band Superconductivity in Holey Graphene
• Robustness of topological order against disorder
• Klein-bottle quadrupole insulators and Dirac semimetals
• Topological marker approach to an interacting Su-Schrieffer-Heeger model
• Topological phase transitions at finite temperature
• Spin Currents and Spontaneous Magnetization at Twin Boundaries of Noncentrosymmetric Superconductors
• Chiral Majorana fermion modes regulated by a scanning tunneling microscope tip
• Persistence of spin edge currents in disordered quantum spin Hall systems
• Glide-symmetric magnetic topological crystalline insulators with inversion symmetry
• Bulk-edge correspondence in nonunitary Floquet systems with chiral symmetry
• Elementary band representations for the single-particle Green's function of interacting topological insulators
• Gapless topological Fulde-Ferrell superfluidity induced by in-plane Zeeman field
• Robustness of Topological Superconductivity in Proximity-Coupled Topological Insulator Nanoribbons
• Symmetry-protected entangling boundary zero modes in crystalline topological insulators
• Zeeman field induced topological phase transitions in triplet superconductors
• Mixed type I and type II superconductivity due to intrinsic electronic inhomogeneities in the type II Dirac semimetal PdTe2
• A diagnosis scheme for topological degeneracies at high-symmetry momenta
• Symmetry and Gap Classification of the non-symmorphic SrPtAs
• Fractional vortex lattice structures in spin triplet superconductors
• Non-Abelian statistics of vortices with multiple Majorana fermions
• Entanglement modes and topological phase transitions in superconductors
• Entanglement Chern number for an extensive partition of a topological ground state
• Entanglement Spectrum as a Probe for the Topology of a Spin-Orbit Coupled Superconductor
• Bulk-edge correspondence, spectral flow and Atiyah-Patodi-Singer theorem for the Z2-invariant in topological insulators
• Gapless surface states originated from accidentally degenerate quadratic band touching in a three-dimensional tetragonal photonic crystal
• Hexagonal supertetrahedral boron: A topological metal with multiple spin-orbit-free emergent fermions
• Application of Convolutional Neural Network to Quantum Percolation in Topological Insulators
• Rules for dissipationless topotronics
• Non-Hermitian Topology in Hermitian Topological Matter
• Average Symmetry Protected Higher-order Topological Amorphous Insulators
• Fate of exceptional points under interactions: Reduction of topological classifications
• Sublattice-enriched tunability of bound states in second-order topological insulators and superconductors
• Floquet quadrupole photonic crystals protected by space-time symmetry
• Chiral Majorana fermions in graphene from proximity-induced superconductivity
• Geometry and Topology Tango in Ordered and Amorphous Chiral Matter
• Surface charge theorem and topological constraints for edge states: An analytical study of one-dimensional nearest-neighbor tight-binding models
• Robustness of the pumping charge to dynamic disorder
• Topological braiding of non-Abelian mid-gap defects in classical meta-materials
• Topological quantum quench dynamics carrying arbitrary Hopf and second-Chern numbers
• Geometric Josephson effects in chiral topological nanowires
• The Bulk-Edge Correspondence in Three Simple Cases
• Topological quantum paramagnet in a quantum spin ladder
• Measuring Chern numbers in Hofstadter strips
• Topological Majorana Two-Channel Kondo Effect
• Interaction induced topological protection in one-dimensional conductors
• Superuniversality of topological quantum phase transition and global phase diagram of dirty topological systems in three dimensions
• Universal fidelity near quantum and topological phase transitions in finite 1D systems
• Topological edge states in two-gap unitary systems: A transfer matrix approach
• Sub-gap in the Edge States of 2-D Chiral Superconductor with Rough Surface
• Random Spin-orbit Coupling in Spin Triplet Superconductors: Stacking Faults in Sr_2RuO_4 and CePt_3Si
• Generalized Bloch band theory for non-Hermitian bulk-boundary correspondence
• Higher-Order Topological Insulators via Momentum-Space Nonsymmorphic Symmetries
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• Topological pumping in class-D superconducting wires
• Topological phases in odd-legs frustrated synthetic ladders
• Probing topology in nonlinear topological materials using numerical $K$-theory
• Random matrix theory of quantum transport in chaotic cavities with non-ideal leads
• Braiding statistics and classification of two-dimensional charge-$2m$ superconductors
• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• Topological phase transitions with SO(4) symmetry in (2+1)d interacting Dirac fermions
• FFLO or Majorana superfluids: The fate of fermionic cold atoms in spin-orbit coupled optical lattices
• Nodal higher-order topological superconductivity from a ${\mathcal{C}}_4$-symmetric Dirac semimetal
• Anomaly and Cobordism Constraints Beyond the Standard Model: Topological Force
• Exotic Topological Types of Majorana Zero-modes and Their Universal Quantum Manipulation
• Hidden-symmetry-protected topological phases on a one-dimensional lattice
• Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
• Number-conserving interacting fermion models with exact topological superconducting ground states
• Ferromagnetism and spin excitations in topological Hubbard models with a flatband
• Observation of oscillatory relaxation in the Sn-terminated surface of epitaxial rock-salt SnSe $\{111\}$ topological crystalline insulator
• Topological phase transitions and universality in the Haldane-Hubbard model
• Time-reversal-invariant topological superconductivity in n-doped BiH
• Surface transport coefficients for three-dimensional topological superconductors
• Electrically tunable chiral Majorana edge modes in quantum anomalous Hall insulator-topological superconductor systems
• Signatures of time-reversal-invariant topological superconductivity in the Josephson effect
• Dimensional crossover of transport characteristics in topological insulator nanofilms
• Spin triplet nematic pairing symmetry and superconducting double transition in U${}_{1-x}$Th${}_x$Be${}_{13}$
• A Strongly-Interacting Dirac Liquid on the Surface of a Topological Kondo Insulator
• Universal topological quench dynamics: Altland-Zirnbauer tenfold classes
• Evidence for spin-triplet odd-parity superconductivity close to type-II van Hove singularities
• Fermions with cubic and quartic spectrum
• Tri-Dirac Surface Modes in Topological Superconductors
• One-dimensional topological insulator: a model for studying finite-size effects in topological insulator thin films
• Emergent vortex Majorana zero mode in iron-based superconductors
• Novel ${\mathbb{Z}}_2$-topological metals and semimetals
• A note on topological insulator phase in non-hermitian quantum systems
• Electromagnetic and thermal responses in topological matter: topological terms, quantum anomalies and D-branes
• Higher (Odd) Dimensional Quantum Hall Effect and Extended Dimensional Hierarchy
• Boundary Topological Superconductors
• Dirac surface states in magnonic analogs of topological crystalline insulators
• Topological state engineering by potential impurities on chiral superconductors
• Enhanced eigenvector sensitivity and algebraic classification of sublattice-symmetric exceptional points
• Subgap states in two dimensional spectroscopy of unconventional superconductors using graphene
• Estimate of the critical exponent of the Anderson transition in the three and four dimensional unitary universality classes
• Transport evidence for three dimensional topological superconductivity in doped $\beta$-PdBi${}_2$
• Critical phase boundaries of static and periodically kicked long-range Kitaev chain
• Topological superfluidity of lattice fermions inside a Bose-Einstein condensate
• Critical Velocity in the Presence of Surface Bound States in Superfluid ${}^3$He-B
• Chern number and Berry curvature for Gaussian mixed states of fermions
• Manifestation of chirality in the vortex lattice in a two-dimensional topological superconductor
• Topological Order Parameters of the Spin-1/2 Dimerized Heisenberg Ladder in Magnetic Field
• Topological invariants for phase transition points of one-dimensional ${\mathbb{Z}}_2$ topological systems
• Standard Model as the topological material
• Symmetry-Preserving Quadratic Lindbladian and Dissipation Driven Topological Transitions in Gaussian States
• Topology of the planar phase of superfluid ${}^3$He and bulk-boundary correspondence for three dimensional topological superconductors
• Bulk-boundary correspondence and singularity-filling in long-range free-fermion chains
• Topological gaps without masses in driven graphene-like systems
• Disorder and interaction in chiral chains: Majoranas vs complex fermions
• Dynamical axion in topological superconductors and superfluids
• (3+1)-dimensional topological quantum field theory from a tight-binding model of interacting spinless fermions
• Bulk-boundary correspondence in extended trimer Su-Schrieffer-Heeger model
• Topological Superconductivity from Unconventional Band Degeneracy with Conventional Pairing
• Theory of tunneling spectroscopy for chiral topological superconductors
• Symmetry Protected Quantum State Renormalization
• Possible Realization of Topological Crystalline Superconductivity with Time-Reversal Symmetry in UTe2
• Engineering of topological phases in driven thin topological insulator: Structure inversion asymmetry effect
• Universal Relation among Many-Body Chern Number, Rotation Symmetry, and Filling
• Topological Gaps in Quasi-Periodic Spin Chains: A Numerical and K-Theoretic Analysis
• In-Plane Magnetoresistance on the Surface of Topological Insulator
• From Dirac semimetals to topological phases in three dimensions: a coupled wire construction
• Reduction of topological $\mathbb{Z}$ classification in cold atomic systems
• Topological D+p-wave superconductivity in Rashba systems
• Bosonic Crystalline Symmetry Protected Topological Phases Beyond the Group Cohomology Proposal
• Counter-propagating edge states in Floquet topological insulating phases
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
• Realizing Topological Superconductivity with Superlattices
• A New Numerical Method for ${\mathbb{Z}}_2$ Topological Insulators with Strong Disorder
• Surface Bogoliubov-Dirac cones and helical Majorana hinge modes in superconducting Dirac semimetals
• Topological insulating phases from two-dimensional nodal loop semimetals
• Space group constraints on weak indices in topological insulators
• Bridging coupled wires and lattice Hamiltonian for two-component bosonic quantum Hall states
• Surface and bulk electronic structure of unconventional superconductor Sr_2RuO_4: unusual splitting of the beta-band
• Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
• Folding approach to topological orders enriched by mirror symmetry
• Topological phases and fractional excitations of the exciton condensate in a special class of bilayer systems
• Higher-order Weyl superconductors with anisotropic Weyl-point connectivity
• Strain induced topological phase transition at zigzag edges of monolayer transition-metal dichalcogenides
• Efficient method to compute ${\mathbb{Z}}_4$-indices with glide symmetry and applications to Möbius materials, $\mathrm{CeNiSn}$ and $\mathrm{UCoGe}$
• Phase transitions in a holographic multi-Weyl semimetal
• Extended Creutz ladder with spin-orbit coupling: a one-dimensional analog of the Kane-Mele model
• Topological Superfluid and Majorana Zero Modes in Synthetic Dimension
• Topological superconductivity in EuS/Au/superconductor heterostructures
• A Dirac fermion model associated with second order topological insulator
• Zero energy and chiral edge modes in a p-wave magnetic spin model
• Topological Insulator in an Atomic Liquid
• Parity of Chern numbers in the Kitaev honeycomb model and the sixteenfold way
• Edge mode manipulation through commensurate multifrequency driving
• Superconducting triplet rim currents in a spin-textured ferromagnetic disk
• Time-reversal invariant topological superfluids in Bose-Fermi mixtures
• Different models of gravitating Dirac fermions in optical lattices
• Classification of crystalline topological semimetals with an application to Na${}_3$Bi
• Topology and zero energy edge states in carbon nanotubes with superconducting pairing
• Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators
• Theory of electron spin resonance in one-dimensional topological insulators with spin-orbit couplings
• Unified Topological Response Theory for Gapped and Gapless Free Fermions
• Topological Superconductivity in Two Dimensions with Mixed Chirality
• Equality of bulk wave functions and edge correlations in topological superconductors: A spacetime derivation
• Topological superconductivity in Dirac honeycomb systems
• Flux-Stabilized Majorana Zero Modes in Coupled One-Dimensional Fermi Wires
• Atomic line defects and topological superconductivity in unconventional superconductors
• Impurity bound states as detectors of topological band structures revisited
• Anomalous thermodynamic power laws near topological transitions in nodal superconductors
• Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly
• Theory of oblique topological insulators
• Interference of Majorana fermions in NS junctions
• Topological Superconducting Vortex From Trivial Electronic Bands
• Multiplicative topological phases
• Majorana zero modes induced by superconducting phase bias
• PT invariant Weyl semimetals in gauge symmetric systems
• Engineering topological phases with a three-dimensional nodal-loop semimetal
• Topological Yu-Shiba-Rusinov chain in monolayer transition-metal dichalcogenide superconductors
• Bosonic symmetry protected topological phases with reflection symmetry
• Composite Weyl semimetal as a parent state for three dimensional topologically ordered phases
• Antiferromagnetism, $f$-wave and chiral $p$-wave superconductivity in a Kagome lattice with possible application to $s{d}^2$-graphenes
• Topological invariant and cotranslational symmetry in strongly interacting multi-magnon systems
• Topological superconductivity in the extended Kitaev-Heisenberg model
• Brane parity orders in the insulating state of Hubbard ladders
• Floquet Quantum Spin Hall Insulator in Cold Atomic Systems
• Topological properties of a generalized spin-orbit-coupled Su-Schrieffer-Heeger model
• Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
• A supervised learning algorithm for interacting topological insulators based on local curvature
• Vison crystals, chiral and crystalline phases in the Yao-Lee model
• Helical spin texture of surface states in topological superconductors
• Impact of topology on the impurity effects in extended $s$-wave superconductors with spin-orbit coupling
• Floquet Topological Polaritons in Semiconductor Microcavities
• Interplay of $SU(2)$, point group and translation symmetry for PEPS: application to a chiral spin liquid
• Gapless Topological Superconductors - Model Hamiltonian and Realization
• Odd-frequency pair density wave in the Kitaev-Kondo lattice model
• Majorana zero modes bound to a vortex line in a topological superconductor
• Controlling topological superconductivity by magnetization dynamics
• Josephson effect in a multi-orbital model for Sr${}_2$RuO${}_4$
• Dirac Spectra of 2-dimensional QCD-like theories
• Tunneling spectroscopy and Majorana modes emergent from topological gapless phases in high-Tc cuprate superconductors
• Symmetry protected vortex bound state in superfluid ${}^3$He B-phase
• Quantum thermal Hall effect of Majorana fermions on the surface of superconducting topoloigcal insulators
• Partition Functions and Stability Criteria of Topological Insulators
• Hall conductivity as bulk signature of topological transitions in superconductors
• Surface Majorana fermions and bulk collective modes in superfluid 3He-B
• Entanglement Spectrum of a Random Partition: Connection with the Localization Transition
• Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
• Topological insulators and topological non-linear sigma models
• Topological classification of the single-wall carbon nanotube
• Spectrum-wide quantum criticality at the surface of class AIII topological phases: An "energy stack" of integer quantum Hall plateau transitions
• Novel anisotropic spin singlet pairings in Cu${}_x$Bi${}_2$Se${}_3$ and Bi${}_2$Te${}_3$
• Probing the topological Anderson transition with quantum walks
• On the Role of Symmetries in the Theory of Photonic Crystals
• Quantum distance and the Euler number index of the Bloch band in a 1D spin model
• Variational study of the interacting spinless Su-Schrieffer-Heeger model
• Topology of critical chiral phases: multiband insulators and superconductors
• Low-energy excitations and non-BCS superconductivity in Nb${}_x$-Bi${}_2$Se${}_3$
• Universal finite-size amplitude and anomalous entanglement entropy of $z=2$ quantum Lifshitz criticalities in topological chains
• BF-theory in graphene: a route toward topological quantum computing?
• Topological edge states in the Su-Schrieffer-Heeger model subject to balanced particle gain and loss
• Chiral Superconductivity in Thin Films of doped Bi${}_2$Se${}_3$
• The Schrödinger Formalism of Electromagnetism and Other Classical Waves --- How to Make Quantum-Wave Analogies Rigorous
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Exactly Solvable Model for Two Dimensional Topological Superconductor
• Fate of Quantum Anomalous Hall Effect in the Presence of External Magnetic Fields and Particle-Hole Asymmetry
• Majorana nanowires, Kitaev chains, and spin models
• Weyl Phases in Point-Group Symmetric Superconductors
• Extrinsic and Intrinsic Nonlinear Hall Effects across Berry-Dipole Transitions
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Topological phases in small quantum Hall samples
• Non-Abelian Chern-Simons Theory from a Hubbard-like Model
• Fully Gapped s-wave-like Superconducting State and Electronic Structures in the Ir0.95Pd0.05Te2 Single Crystals with Strong Spin-orbital Coupling
• Topological Polaritons in a Quantum Spin Hall Cavity
• Exceptional point description of one-dimensional chiral topological superconductors/superfluids in BDI class
• Differential geometric invariants for time-reversal symmetric Bloch-bundles: the "Real" case
• Analytic approach to quantum metric and optical conductivity in Dirac models with parabolic mass in arbitrary dimensions
• Catalog of noninteracting tight-binding models with two energy bands in one dimension
• Unconventional superconductivity and Surface pairing symmetry in Half-Heusler Compounds
• Chiral symmetries and Majorana fermions in coupled magnetic atomic chains on a superconductor
• Anomaly indicators for topological orders with $U(1)$ and time-reversal symmetry
• Sinai Diffusion at Quasi-1D Topological Phase Transitions
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• Quantum Interference of Hydrodynamic Modes in a Dirty Marginal Fermi Liquid
• Manipulation of Majorana Kramers Qubit and its Tolerance in Time-Reversal-Invariant Topological Superconductor
• Andreev Bound States in Superconducting Films and Confined Superfluid He-3
• Topological Surface States in Paramagnetic and Antiferromagnetic Iron Pnictides
• Criticality Across the Energy Spectrum from Random, Artificial Gravitational Lensing in Two-Dimensional Dirac Superconductors
• Study of superfluid ${}^3$He under nanoscale confinement. A new approach to the investigation of superfluid ${}^3$He films
• Pairing symmetry and vortex zero-mode for superconducting Dirac fermions
• Entanglement in a second order topological insulator on a square lattice
• Finite-temperature effective boundary theory of the quantized thermal Hall effect
• Topological insulation in a ladder model with particle-hole and reflection symmetries
• Field theory of non-Hermitian disordered systems
• Topological Number of Edge States
• Rational indices for quantum ground state sectors
• Search for localized Wannier functions of topological band structures via compressed sensing
• Global phase diagram of two-dimensional Dirac fermions in random potentials
• Electric Circuit Simulation of Floquet Topological Insulators
• Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states
• Spectral analysis, chiral disorder and topological edge states manifestation in open non-Hermitian Su-Schrieffer-Heeger chains
• Itinerant Ferromagnetism and $p+i{p}^{\prime }$ Superconductivity in Doped Bilayer Silicene
• Topological footprints of the 1D Kitaev chain with long range superconducting pairings at a finite temperature
• Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$
• Novel topological insulators from crystalline symmetries
• Onset of Quantum Criticality in the Topological-to-Nematic Transition in a Two-dimensional Electron Gas at Filling Factor $\nu =5/2$
• Generalization of Benalcazar-Bernevig-Hughes model to arbitrary dimensions
• Chiral Flow in One-dimensional Floquet Topological Insulators
• Synthesizing Majorana zero-energy modes in a periodically gated quantum wire
• Surface states and local spin susceptibility in doped three-dimensional topological insulators with odd-parity superconducting pairing symmetry
• Platform for nodal topological superconductors in monolayer molybdenum dichalcogenides
• Muon spin rotation study of the topological superconductor SrxBi2Se3
• Non-Hermitian second-order topological superconductors
• Sputtering induced re-emergence of the topological surface state in Bi${}_2$Se${}_3$
• Topological Superconductivity in Multifold Fermion Metals
• Large Chern Number Topological Superfluids in Coupled Layer System
• Dynamically characterizing topological phases by high-order topological charges
• Non-trivial topology of the quasi-one-dimensional triplons in the quantum antiferromagnet ${\text{BiCu}}_2{\text{PO}}_6$
• Majorana bound states in encapsulated bilayer graphene
• Finite-size Topology
• Self-consistent study of Abelian and non-Abelian order in a two-dimensional topological superconductor
• Critical Percolation Without Fine Tuning on the Surface of a Topological Superconductor
• Structural disorder-induced topological phase transitions in quasicrystals
• Bulk-boundary correspondance for Sturmian Kohmoto like models
• Topological phase transitions in the 1D multichannel Dirac equation with random mass and a random matrix model
• Pair Wavefunction Symmetry in UTe2 from Zero-Energy Surface State Visualization
• Diagnosing Topological Edge States via Entanglement Monogamy
• Anomalous Hall metals from strong disorder in class A systems on partite lattices
• Topological states in normal and superconducting $p$-wave chains
• Three-Band Model for Quantum Hall and Spin Hall Effects
• Superconducting Sn_{1-x}In_{x}Te Nanoplates
• Helical Majorana surface states of strongly disordered topological superconductors with time-reversal symmetry
• Nematic superconductivity in the topological semimetal CaSn${}_3$
• Ising analogues of quantum spin chains with multispin interactions
• Dimensional modulation of spontaneous magnetic order in quasi-two-dimensional quantum antiferromagnets
• Antiferromagnetic magnons from fractionalized excitations
• Finite-Frequency Topological Maxwell Modes in Mechanical Self-Dual Kagome Lattices
• Embedded Topological Semimetals
• Local formula for the $Z_2$ invariant of topological insulators
• Z${}_2$ index theorem for Majorana zero modes in a class D topological superconductor
• On the C*-algebraic approach to topological phases for insulators
• Fragility of surface states in non-Wigner Dyson topological insulators
• Quantum Spin Hall Effect in Graphene Nanoribbons: Effect of Edge Geometry
• Probing Majorana Flat Bands in Nodal $d_{x^2-y^2}$-wave Superconductors with Rashba Spin-Orbit Coupling
• Majorana multipole response: General theory and application to wallpaper groups
• Competition of First-Order and Second-Order Topology on the Honeycomb Lattice
• Chiral topological insulating phases from three-dimensional nodal loop semimetals
• Dislocation Majorana zero modes in perovskite oxide 2DEG
• Odd-Parity Quasiparticle Interference in the Superconductive Surface State of UTe2
• Interaction Protected Topological Insulators with Time Reversal Symmetry
• Topological linear response of hyperbolic Chern insulators
• From orbifolding conformal field theories to gauging topological phases
• Topological Superfluids and BEC-BCS Crossover in Attractive Haldane-Hubbard Model
• Index theorem for topological heterostructure systems
• Dimensional evolution between one- and two-dimensional topological phases
• Anomalous Floquet topological crystalline insulators
• Correlation-induced Fermi surface evolution and topological crystalline superconductivity in CeRh2As2
• Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic $t-J$ model
• Critical Behaviors of Anderson Transitions in Three Dimensional Orthogonal Classes with Particle-hole Symmetries
• Power-law Temperature Dependence of the Penetration Depth in a Topological Superconductor due to Surface States
• Unconventional Floquet topological phases from quantum engineering of band inversion surfaces
• $Z_2$ fractionalized Chern/topological insulators in an exactly soluble correlated model
• Quench dynamics and bulk-edge correspondence in nonlinear mechanical systems
• On the topological character of three-dimensional Nexus triple point degeneracies
• Entanglement entropy and entanglement spectrum of triplet topological superconductors
• Dissipative Pairing Interactions: Quantum Instabilities, Topological Light, and Volume-Law Entanglement
• Symmetry protected weak topological phases in a superlattice
• Topological Quantum Walk with Discrete Time-Glide Symmetry
• $Z_2$ index for gapless fermionic modes in the vortex core of three dimensional paired Dirac fermions
• Majoranas with and without a 'character': hybridization, braiding and Majorana number
• Effective Light Dynamics in Perturbed Photonic Crystals
• Signatures of Majorana Kramers pairs in superconductor-Luttinger liquid and superconductor-quantum dot-normal lead junctions
• Coreless vortices as direct signature of chiral $d$-wave superconductivity
• Boltzmann-Gibbs states in topological quantum walks and associated many-body systems: Fidelity and Uhlmann parallel transport analysis of Phase Transitions
• Superconducting states and Majorana modes in transition-metal dichalcogenides under inhomogeneous strain
• Imaging topologically protected transport with quantum degenerate gases
• Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$
• Anomalous electromagnetic response of superconducting Rashba systems in trivial and topological phases
• Light-induced switching between singlet and triplet superconducting states
• Anomalous Proximity Effect of Planer Topological Josephson Junctions
• Effective field theories of topological crystalline insulators and topological crystals
• Topological crystalline antiferromagnetic state in tetragonal FeS
• Spatially resolved Landau level spectroscopy of the topological Dirac cone of bulk-type Sb2Te3(0001): potential fluctuations and quasiparticle lifetime
• Nonsymmorphic chiral symmetry and solitons in the Rice-Mele model
• Stability of flat zero-energy states at the dirty surface of a nodal superconductor
• Topological nature of step edge states on the surface of topological crystalline insulator Pb${}_{0.7}$Sn${}_{0.3}$Se
• Using Topological Insulator Proximity to Generate Perfectly Conducting Channels in Materials without Topological Protection
• A Holographic Theory for the Phase Transitions Between Fermionic Symmetry-protected Topological States
• Quantum geometry of singlet superconductors
• Higher-order topological semimetals and nodal superconductors with an order-two crystalline symmetry
• Reentrant topological transitions with Majorana end states in 1D superconductors by lattice modulation
• Topological crystalline insulators from stacked graphene layers
• Majorana edge magnetization in the Kitaev honeycomb model
• Quench Dynamics of Topological Maximally-Entangled States
• Surface magnetism in a chiral d-wave superconductor with hexagonal symmetry
• Chemical Principles of Intrinsic Topological Superconductors
• Accelerated quantum walk, two-particle entanglement generation and localization
• Optical properties of helical edge channels in zinc-blende-type topological insulators: Selection rules, circular and linear dichroism, circular and linear photocurrents
• Gauge theory of topological phases of matter
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Shift of Symmetries of Naive Fermions in QCD-like Lattice Theories
• Non-equilibrium topological phase transitions in two-dimensional optical lattices
• Searching for two-dimensional Weyl superconductors in heterostructures
• Bogoliubov-de Gennes Soliton Dynamics in Unconventional Fermi Superfluids
• One-dimensional non-interacting topological insulators with chiral symmetry
• Characterizations of topological superconductors: Chern numbers, edge states and Majorana zero modes
• Nonlocal conductance reveals helical superconductors
• Triangular pair density wave in confined superfluid ${}^3$He
• Effect of coordination on topological phases on self-similar structures
• Stability of entanglement-spectrum crossing in quench dynamics of one dimensional gapped free-fermion systems
• Magnetic Response of Majorana Kramers Pairs Protected by Z2 Invariants
• Phonon-Assisted Andreev Reflection at Majorana Zero Mode
• Review: Observation of Majorana Bound States at a Free Surface of ${}^3$He-B
• Non-Abelian braiding in spin superconductors utilizing the Aharonov-Casher effect
• A simple approach to characterizing band topology in bosonic pairing Hamiltonians
• Fractional hinge and corner charges in various crystal shapes with cubic symmetry
• Kane-Mele-Hubbard model on the $\pi$-flux honeycomb lattice
• Topological classification of intrinsic 3D superconductors using anomalous surface construction
• Band spectrum is D-brane
• Effective p-wave interaction and topological superfluids in s-wave quantum gases
• Exact chiral spin liquid state in a Kitaev type spin model
• Edge currents as a probe of the strongly spin-polarized topological noncentrosymmetric superconductors
• Third-order topological insulator induced by disorder
• Edge stability and edge quantum criticality in 2D interacting topological insulators
• Anomalous localization at the boundary of an interacting topological insulator
• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• Massive Dirac fermions from holography
• Adiabatic continuity, wavefunction overlap and topological phase transitions
• Long-range Coulomb Interaction effects on Topological Phase Transitions between Semi-metals and Insulators
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Topological Floquet interface states in optical fibre loops
• Quantum phase transition of fracton topological orders
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Structure of vortex-bound states in spin-singlet chiral superconductors
• Nonsymmorphic symmetry protected node-line semimetal in the trigonal YH3
• Terahertz topological plasmon polaritons for robust temperature sensing
• Topological Devil's staircase in atomic two-leg ladders
• Signature of Phase Transitions in the Disordered Quantum Spin Hall State From the Entanglement Spectrum
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• Topological flat bands in optical checkerboard-like lattices
• Time-reversal-breaking topological phases in antiferromagnetic Sr${}_2$FeOsO${}_6$ films
• Edge states in a two-dimensional quantum walk with disorder
• Finite temperature geometric properties of the Kitaev honeycomb model
• Dielectric and optical markers originating from quantum geometry
• Symmetry protected gapless $Z_2$ spin liquids
• Cataloging topological phases of $N$-stacked Su-Schrieffer-Heeger chains by a systematic breaking of symmetries
• TAO pairing: a fully gapped pairing scenario for the Iron-Based Superconductors
• Anomalous Kerr Effect in SrRuO${}_3$ Thin Films
• Generalized Real-space Chern Number Formula and Entanglement Hamiltonian
• Translation invariant topological superconductors on lattice
• Rational boundary charge in one-dimensional systems with interaction and disorder
• Optical absorption measurement of spin Berry curvature and spin Chern marker
• Topological Anomalous Skin Effect in Weyl Superconductors
• Three-dimensional Topological Insulators and Bosonization
• Skyrmion spin texture in ferromagnetic semiconductor-superconductor heterostructures
• Single branch of chiral Majorana modes from doubly degenerate Fermi surfaces
• Discovering momentum-dependent magnon spin texture in insulating antiferromagnets: Role of the Kitaev interaction
• Examining the validity of the two-dimensional conical model to describe the three-dimensional ZrTe5
• Higher angular momentum band inversions in two dimensions
• Experimental demonstration of adversarial examples in learning topological phases
• Topological Polarization in Graphene-like Systems
• Symmetry conditions of a nodal superconductor for generating robust flat-band Andreev bound states at its dirty surface
• Anisotropic non-linear optical response of nodal loop materials
• Exact Solution to Haldane-BCS-Hubbard Model Along the Symmetric Lines: Interaction Induced Topological Phase Transition
• Haldane Model at finite temperature
• Type-I and type-II topological nodal superconductors with $s$-wave interaction
• Nonlinear Hall effect in two-dimensional class AI metals
• Topological superconductor with a large Chern number and a large bulk excitation gap in single layer graphene
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Toward simulation of topological phenomenas with one-, two- and three-dimensional quantum walks
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• Engineering of Chern insulators and circuits of topological edge states
• Edge instabilities of topological superconductors
• Majorana fermions in quasi-1D and higher dimensional ultracold fermionic optical lattices
• Evolution of edge states in topological superfluids during the quantum phase transition
• Weyl Semimetallic State in the Rashba-Hubbard Model
• Topologically distinct atomic insulators
• Transport signatures in topological systems coupled to AC fields
• Gapless edge states and their stability in two-dimensional quantum magnets
• Topological Phase Transition in Metallic Single-Wall Carbon Nanotube
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• An experimental proposal to observe non-abelian statistics of Majorana-Shockley fermions in an optical lattice
• Marginal CFT perturbations at the integer quantum Hall transition
• On topological transitions in metals
• Quantization of topological indices in critical chains at low temperatures
• Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit
• Spin Hall Effect: Symmetry Breaking, Twisting, and Giant Disorder Renormalization
• Anomaly indicators and bulk-boundary correspondences for 3D interacting topological crystalline phases with mirror and continuous symmetries
• Majorana zero modes, unconventional real-complex transition and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice
• Flat Energy Bands within Antiphase and Twin Boundaries and at Open Edges in Topological Materials
• Non-local order parameters for states with topological electromagnetic response
• Fermiology of possible topological superconductor Tl0.5Bi2Te3 derived from hole-doped topological insulator
• Inherited topological superconductivity in two-dimensional Dirac semimetals
• Topological invariants beyond symmetry indicators: Boundary diagnostics for twofold rotationally symmetric superconductors
• On the K-theoretic classification of dynamically stable systems
• Effective low energy theory for surface Andreev bound states of superconducting phases in generalized Bernevig-Hughes-Zhang models
• Stability of the coexistence phase of chiral superconductivity and noncollinear spin ordering with a nontrivial topology and strong electron correlations
• Holographic Projection of Electromagnetic Maxwell Theory
• Non-Abelian statistics of vortices with non-Abelian Dirac fermions
• Topological chiral currents in the Gross-Neveu model extension
• ${\mathcal{L}}^2$ localization landscape for highly-excited states
• Nodal S-wave Superconductivity in Antiferromagnetic Semimetals
• Fractional Electromagnetic Response in Three-Dimensional Chiral Anomalous Semimetal
• Phase diagram of a model for topological superconducting wires
• Gapped Dirac semimetal with mixed linear and parabolic dispersions
• Grapheayne: a class of low-energy carbon allotropes with diverse optoelectronic and topological properties
• Network model for higher-order topological phases
• Quantum Hall Effect and Langlands Program
• Majorana states and devices in magnetic structures
• Symmetry-protected topological invariant and Majorana impurity states in time-reversal-invariant superconductors
• Spin, orbital and topological order in models of strongly correlated electrons
• Topological quantum phase transitions and edge states in spin-orbital coupled Fermi gases
• Quantum phase transitions of topological insulators without gap closing
• Sensitivity of quantum walks to boundary of two-dimensional lattices: approaches from the CGMV method and topological phases
• Time-reversal symmetry breaking and gapped surface states due to spontaneous emergence of new order in $d$-wave nanoislands
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Scattering theory on surface Majorana fermions by an impurity in 3He-B
• Topological thermoelectric effects in spin-orbit coupled electron and hole doped semiconductors
• Topological aspects of $\pi$ phase winding junctions in superconducting wires
• Realizing and detecting Stiefel-Whitney insulators in an optical Raman lattice
• Homotopic classification of band structures: Stable, fragile, delicate, and stable representation-protected topology
• Thermodynamic and spectral properties of adiabatic Peierls chains
• Fermionic boundary modes in two-dimensional noncentrosymmetric superconductors
• Quantum skyrmion Hall effect
• Higgs-Confinement Transitions in QCD from Symmetry Protected Topological Phases
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Ground-state atlas of a three-dimensional semimetal in the quantum limit
• Inhibition of spreading in quantum random walks due to quenched Poisson-distributed disorder
• Topological properties of a periodically driven Creutz ladder
• Localized surfaces of three dimensional topological insulators
• Periodic Clifford symmetry algebras on flux lattices
• Edge states and phase diagram for graphene under polarized light
• Filling-enforced Dirac loops and their evolutions under various perturbations
• Tunable partial polarization beam splitter and optomechanically induced Faraday effect
• Anatomy of Fermionic Entanglement and Criticality in Kitaev Spin Liquids
• Zero-Energy Modes on Superconducting Bismuth Islands Deposited on Fe(Te,Se)
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• Strong anomalous proximity effect from spin-singlet superconductors
• Effective Long-Range Pairing and Hopping in Topological Nanowires Weakly Coupled to $s$-Wave Superconductors
• Odd-Parity Spin-Triplet Superconductivity in Centrosymmetric Antiferromagnetic Metals
• Absence of topology in Gaussian mixed states of bosons
• Appearance of flat surface bands in three-dimensional topological insulators in a ferromagnetic exchange field
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
• Discrete symmetries of low-dimensional Dirac models: A selective review with a focus on condensed-matter realisations
• Calculating the polarization in bi-partite lattice models: application to an extended Su-Schrieffer-Heeger model
• First principles study of topological phase in chains of $3d$ transition metals
• Critical and non critical non-Hermitian topological phase transitions in one dimensional chains
• Topological BF theory of the quantum hydrodynamics of incompressible polar fluids
• Stability of zero energy Dirac touchings in the honeycomb Hofstadter problem
• Disorder effects on thermal transport on the surface of topological superconductors by the self-consistent Born approximation
• Zero Modes on Zero-Angle Grain Boundaries in Graphene
• Asymptotically exact photonic analogues of chiral symmetric topological tight-binding models
• The non-commutative topology of two-dimensional dirty superconductors
• Topology of 2D Dirac operators with variable mass and an application to shallow-water waves
• Unconventional Majorana fermions on the surface of topological superconductors protected by rotational symmetry
• Low-energy effective field theory of superfluid 3He-B and its gyromagnetic and Hall responses
• Sea of Majorana fermions from pseudo-scalar superconducting order in three dimensional Dirac materials
• Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory
• Strain manipulation of Majorana fermions in graphene armchair nanoribbons
• Competing Adiabatic Thouless Pumps in Enlarged Parameter Spaces
• Unconventional quantum phase transitions in a one-dimensional Lieb-Schultz-Mattis system
• Cusps near Topological Phase Transitions: Signatures of Majorana fermions and interactions with fluctuations
• Anatomy of Z2 fluxes in anyon Fermi liquids and Bose condensates
• Scaling behavior in a multicritical one-dimensional topological insulator
• Quench dynamics of Hopf insulators
• Topological phases of parafermionic chains with symmetries
• Robustness of Gapless Interface State in a Junction of Two Topological Insulators
• Topological skyrmion phases of matter
• Majorana end states in an interacting quantum wire
• Higher Chern numbers in multilayer ($\mathcal{N}\ge 2$) Lieb lattices: Topological transitions and quadratic band crossing lines
• Hidden Symmetry Decoupling of Majorana Fermions
• Nodal topology in $d$-wave superconducting monolayer FeSe
• Dynamic mass generation on two-dimensional electronic hyperbolic lattices
• Quantum geometrical properties of topological materials
• Quasiparticle excitations in a one-dimensional interacting topological insulator: Application for dopant-based quantum simulation
• Pseudo topological insulators
• Mechanisms for Magnetic Skyrmion Catalysis and Topological Superconductivity
• Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
• Spin-orbit enabled unconventional Stoner magnetism
• Supercurrent Reversal in Two-Dimensional Topological Insulators
• Protected Gapless Edge States In Trivial Topology
• Edge states and topological properties of electrons on the bismuth on silicon surface with giant spin-orbit coupling
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices
• Spontaneous Josephson $\pi$ Junctions with Topological Superconductors
• Revealing the spatial nature of sublattice symmetry
• Phase transitions in the Haldane-Hubbard model with ionic potentials
• Higher-order topological superconductivity in a topological metal 1T${}^{\prime }$-MoTe${}_2$
• From Coupled Rashba Electron and Hole Gas Layers to 3D Topological Insulators
• Two-dimensional topological superconducting phases emerged from d-wave superconductors in proximity to antiferromagnets
• Twisted crystallograpic T-duality via the Baum--Connes isomorphism
• $n$-Hourglass Weyl fermions in nonsymmorphic materials
• Observation of dynamical topology in 1D
• Transport signatures of interacting fermions in quasi-one-dimensional topological superconductors
• Core structures of vortices in Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluids
• Many-body-localization induced protection of symmetry-protected topological order in a XXZ spin model
• Defects in Graphene : A Topological Description
• Surface density of states and tunneling spectroscopy of a spin-3/2 superconductor with Bogoliubov Fermi Surfaces
• Wannier band transitions in disordered $\pi$-flux ladders
• Edge states for topological insulators in two dimensions and their Luttinger-like liquids
• Topological signatures of the coexistence of antiferromagnetism and odd-parity spin-triplet superconductivity
• Extracting entangled qubits from Majorana fermions in quantum dot chains through the measurement of parity
• Emergent topological fields and relativistic phonons within the thermoelectricity in topological insulators
• Topological Quantum Critical Points in Strong Coupling limits: Global Symmetries and Strongly Interacting Majorana Fermions
• Topological superconductivity and anti-Shiba states in disordered chains of magnetic adatoms
• Chiral p-wave superconductivity in Sb(111) thin films close to Van Hove singularities
• Generating Giant Spin Currents Using Nodal Topological Superconductors
• Impurity Effects on Bound States in the Vortex Core of Topological S-wave Superconductor
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids
• Localization and Chern numbers for weakly disordered BdG operators
• Topological end states due to inhomogeneous strains in wrinkled semiconducting ribbons
• Anderson Critical Metal Phase in Trivial States Protected by Average Magnetic Crystalline Symmetry
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Relationship between the Electronic Polarization and the Winding Number in Non-Hermitian Systems
• Topological antiferromagnetic spin-density-wave phase in an extended Kondo lattice model
• Geometrical phase shift in Friedel oscillations
• Interacting Edge States of Fermionic Symmetry-Protected Topological Phases in Two Dimensions
• Increased localization of Majorana modes in antiferromagnetic chains on superconductors
• Topological spin-singlet superconductors with underlying sublattice structure
• Topological quantum transition driven by charge-phonon coupling in the Haldane Chern insulator
• Magnetic Flux Response of Non-Hermitian Topological Phases
• ${\mathbb{Z}}_2$ topological invariants for mixed states of fermions in time-reversal invariant band structures
• Proximity effects of vortices in neutron ${}^3{P}_2$ superfluids in neutron stars: Vortex core transitions and covalent bonding of vortex molecules
• Topological insulators with arbitrarily tunable entanglement
• Magnetic field driven Lifshitz transition and one-dimensional Weyl nodes in three-dimensional pentatellurides
• Two-dimensional topological semimetal state in a nanopatterned semiconductor system
• Topologically localized insulators
• Gapping fragile topological bands by interactions
• The Geometry of (non-Abelian) Landau levels
• Exact scaling of geometric phase and fidelity susceptibility and their breakdown across the critical points
• Many-Body Chern Numbers of $\nu =1/3$ and $1/2$ States on Various Lattices
• Conformal QED in two-dimensional topological insulators
• Ginzburg-Landau description of twin boundaries in noncentrosymmetric superconductors
• Observation of Anomalous Thermal Hall Effect in a Kagome Superconductor
• Anomalous Josephson effect of s-wave pairing states in chiral double layers
• Optical spin transport theory of spin-1/2 topological Fermi superfluids
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries
• Transport properties of an interacting Majorana chain
• Extended Majorana zero modes in a topological superconducting-normal T-junction
• Entanglement of a 3D generalization of the Kitaev model on the diamond lattice
• Dynamical topological excitations in parafermion chains
• Quantized transport induced by topology transfer between coupled one-dimensional lattice systems
• Stability of dynamical topology against dynamical noise in quantum quenches
• Berry-dipole Semimetals
• Topological superconductivity in a magnetic-texture coupled Josephson junction
• Magnetic chains on a triplet superconductor
• Topological indicators for systems with open boundaries: Application to the Kitaev wire
• Topological Quantum Criticality in Superfluids and Superconductors: Surface criticality, Thermal properties, and Lifshitz Majorana fields
• Interaction-Driven Topological Insulator in Fermionic Cold Atoms on an Optical Lattice: A Design with a Density Functional Formalism
• Counting Majorana bound states using complex momenta
• Universal finite size scaling around tricriticality between topologically ordered, SPT, and trivial phases
• Finite-size topological phases from semimetals
• Phonon-mediated intrinsic topological superconductivity in Fermi arcs
• Identification of Spin-Triplet Superconductivity through a Helical-Chiral Phase Transition in Sr${}_2$RuO${}_4$ Thin-Films
• SPT 2-Channel Kondo Model in the Structure of Normal Metal/Quantum Dot/DIII-class Topological Superconductor
• Finite temperature effects on Majorana bound states in chiral $p$-wave superconductors
• Braiding topology of symmetry-protected degeneracy points in non-Hermitian systems
• Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
• Exact diagonalization of cubic lattice models in commensurate Abelian magnetic fluxes and translational invariant non-Abelian potentials
• Corroborating the bulk-edge correspondence in weakly interacting 1D topological insulators
• Duality of a compact topological superconductor model and the Witten effect
• A many-body Fredholm index for ground state spaces and Abelian anyons
• Control of Edge Currents at a Ferromagnet - Triplet Superconductor Interface by Multiple Helical Majorana Modes
• Thermodynamics of a Higher-Order Topological Insulator
• Universal phase diagram of topological superconductors subjected to magnetic flux
• 4D beyond-cohomology topological phase protected by $C_2$ symmetry and its boundary theories
• On critical properties of Berry curvature in Kitaev honeycomb model
• Emergent $Z_2$ Topological Invariant and Robust Helical Edge States in Two-Dimensional Topological Metals
• Partial flux ordering and thermal Majorana metals in (higher-order) spin liquids
• Hybridization mechanism of the dual proximity effect in superconductor-topological insulator interfaces
• Minimal Zeeman field requirement for a topological transition in superconductors
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
• Kramers' doublet ground state in topological Kondo insulators
• Vanishing k-space fidelity and phase diagram's bulk-edge-bulk correspondence
• Distribution of Conductances in Chiral Topological Superconductor Junctions
• Topological gapless points in superconductors: From the viewpoint of symmetry
• Topological mechanical metamaterial with nonrectilinear constraints
• Fractional topological insulator precursors in spin-orbit fermion ladders
• Effect of incommensurate potential on nodal-link semimetals
• Magnetic tilting and emergent Majorana spin connection in topological superconductors
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• Synthetic topological Kondo insulator in a pumped optical cavity
• Topological nodal superconducting phases and topological phase transition in the hyperhoneycomb lattice
• $d+id$ chiral superconductivity in a triangular lattice from trigonal bipyramidal complexes
• Winding Number Statistics of a Parametric Chiral Unitary Random Matrix Ensemble
• Topologically protected dynamics in three-dimensional nonlinear antisymmetric Lotka-Volterra systems
• Superconductivity, generalized random phase approximation and linear scaling methods
• Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors
• Defect bulk-boundary correspondence of topological skyrmion phases of matter
• Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Determinants with Parametric Dependence
• Measuring the Chern number with quantum oscillations
• Symmetry-Resolved Entanglement of $C_2$-symmetric Topological Insulators
• Charge conservation protected topological phases
• Transport of bound quasiparticle states in a two-dimensional boundary superfluid
• The tenfold way redux: Fermionic systems with $N$-body interactions
• Hidden-symmetry-protected quantum pseudo-spin Hall effect in optical lattices
• Even spheres as joint spectra of matrix models
• Anatomy of a periodically driven p-wave superconductor
• Topological crystalline protection in a photonic system
• BerryEasy: A GPU enabled python package for diagnosis of nth-order and spin-resolved topology in the presence of fields and effects
• Universal hard-edge statistics of non-Hermitian random matrices
• Intrinsic Angular Momentum and Intrinsic Magnetic Moment of Chiral Superconductor on Two-Dimensional Square Lattice
• Corner modes in non-Hermitian next-nearest-neighbor hopping model
• Topological Insulators with Hybrid-order Boundary States
• Orbital hybridized topological Fulde-Ferrel superfluidity in a noncentrosymmetric optical lattice
• Quantum geometry of bosonic Bogoliubov quasiparticles
• Unusual spin dynamics in topological insulators
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Accessing topological superconductivity via a combined STM and renormalization group analysis
• Topological transitions in a model with Particle-Hole symmetry, Pancharatnam-Berry Curvature and Dirac Points
• Intrinsic-perturbation induced anomalous higher-order boundary states in non-Hermitian systems
• Enhanced chiral edge currents and orbital magnetic moment in chiral $d$-wave superconductors from mesoscopic finite-size effects
• Stacking-Induced Symmetry-Protected Topological Phase Transitions
• Predicting topological materials: symmetry-based indicator theories and beyond
• Rigidity of topological invariants to symmetry breakings
• Topological Modes Protected by Chiral and Two-Fold Rotational Symmetry in a Spring-Mass Model with a Lieb Lattice Structure
• Transport in topological insulator nanowires
• Entanglement Chern number for three-dimensional topological insulators: Characterization by Weyl points of entanglement Hamiltonians
• Superlattice platform for chiral superconductivity with tuneable and high Chern numbers
• Many-body delocalization with random vector potentials
• Quantum Monte Carlo simulation of topological phase transitions
• Topological surface states and Andreev bound states in superconducting iron pnictides
• Fractionalized Metals and Superconductors in Three Dimensions
• Quantized electromagnetic response of three-dimensional chiral topological insulators
• Effective response theory for zero energy Majorana bound states in three spatial dimensions
• Intrinsic topological superconductivity with exactly flat surface bands in the quasi-one-dimensional A${}_2$Cr${}_3$As${}_3$ (A=Na, K, Rb, Cs) superconductors
• Light-matter correlations in Quantum Floquet engineering of cavity quantum materials
• LSM and CPT
• Topological nodal $i$-wave superconductivity in PtBi${}_2$
• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Engineering 1D topological phases on $p$-wave superconductors
• Application of semifinite index theory to weak topological phases
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Observation of Persistent Zero Modes and Superconducting Vortex Doublets in UTe${}_2$
• Nodal superconducting gap structure and topological surface states of UTe${}_2$
• Anomalous Coherence Length of Majorana Zero Modes at Vortices in Superconducting Topological Insulators
• Optical signatures of Euler superconductors
• IrF4: From Tetrahedral Compass Model to Topological Semimetal
• Topological phases due to the coexistence of superconductivity and spin-density wave: Application to high Tc superconductors in the underdoped regime
• Symmetry analysis of transport properties in helical superconductor junctions
• Topological Superfluids
• Non-reciprocity is necessary for robust dimensional reduction and strong responses in stochastic topological systems
• High critical temperature nodal superconductors as building block for time-reversal invariant topological superconductivity
• Topological phases in two-legged Heisenberg ladders with alternating interactions
• From chiral d-wave to nodal line superconductivity in the harmonic honeycomb lattices
• Robust propagating in-gap modes due to spin-orbit domain walls in graphene
• Quantum cluster approach to the topological invariants in correlated Chern insulators
• Fermionic Symmetry Protected Topological Phase Induced by Interactions
• Andreev spectroscopy of Majorana states in topological superconductors with multipocket Fermi surfaces
• Interface currents and magnetization in singlet-triplet superconducting heterostructures: Role of chiral and helical domains
• Controllable Majorana fermions on domain walls of a magnetic topological insulator
• Proximity effect of time-reversal symmetry broken non-centrosymmetric superconductors
• Gauge interactions and topological phases of matter
• Green's Function Method for Line Defects and Gapless Modes in Topological Insulators : Beyond Semiclassical Approach
• Impurity-induced bound states in superconductors with topological order
• Distinct Floquet topological classifications from color-decorated frequency lattices with space-time symmetries
• Bulk thermal transport coefficients in a quantum Hall system and the fundamental difference between thermal and charge response
• Topologically distinct critical theories emerging from the bulk entanglement spectrum of integer quantum Hall states on a lattice
• Plasmons in single- and double-component helical liquids: Application to two-dimensional topological insulators
• Interaction-Driven Topological Switch in a $P$-Band Honeycomb Lattice
• Higgs Mechanism, Phase Transitions, and Anomalous Hall Effect in Three-Dimensional Topological Superconductors
• Supersymmetric Free Fermions and Bosons: Locality, Symmetry and Topology
• Chiral to helical Majorana fermion transition in a $p$-wave superconductor
• Induced topological order at the boundary of 3D topological superconductors
• Entanglement in 3D Kitaev Spin Liquids
• Self-consistent study of topological superconductivity in two-dimensional quasicrystals
• On the Excitations of a Balian-Werthamer Superconductor
• Topological s-wave pairing superconductivity with spatial inhomogeneity: Mid-gap-state appearance and robustness of superconductivity
• Topological insulator on honeycomb lattices and ribbons without inversion symmetry
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Chiral topological superconducting state with Chern number $\mathcal{C}=-2$ in Pb${}_3$Bi/Ge(111)
• Takagi topological insulator with odd $\mathcal{P}\mathcal{T}$ pairs of corner states
• Dynamical probing of a topological phase of bosons in one dimension
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• Topological superconductivity from transverse optical phonons in oxide heterostructures
• Topological Invariant for Multi-Band Non-hermitian Systems with Chiral Symmetry
• Signatures of the topological spin of Josephson vortices in topological superconductors
• Electronic polarization in non-Bloch band theory
• Majorana-magnon interactions in topological Shiba chains
• Quantum Monte Carlo simulation of a two-dimensional Majorana lattice model
• Majorana corner pairs in a two-dimensional $s$-wave cold atomic superfluid
• Prediction and description of a chiral pseudogap phase
• Entanglement Chern Number of the Kane-Mele Model with Ferromagnetism
• Single and multi-frequency driving protocols in a Rashba nanowire proximitized to an s-wave superconductor
• Superfluid phase transition of nanoscale-confined helium-3
• Synthetic Hall tube of interacting fermions
• Playing nonlocal games with phases of quantum matter
• Low-Energy Surface States in the Normal State of $\alpha$-PdBi2 Superconductor
• Topological electronic properties of silicon
• The topological dynamics of continuum lattice grid structures
• Topological end states in a one-dimensional spatially modulated interaction spinless fermion model
• Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry
• Universal properties of boundary and interface charges in multichannel one-dimensional models without symmetry constraints
• Symmetry-enriched Bose-Einstein condensates in spin-orbit coupled bilayer system
• Interacting SPT phases are not Morita invariant
• Faithful Simulation and Detection of Quantum Spin Hall Effect on Superconducting Circuits
• Unveiling Correlated Two-dimensional Topological Insulators through Fermionic Tensor Network States -- Classification, Edge Theories and Variational Wavefunctions
• Mixed higher-order topology and nodal and nodeless flat band topological phases in a superconducting multiorbital model
• Non-Hermitian $C_{NH}=2$ Chern insulator protected by generalized rotational symmetry
• Quantum phase transitions and a disorder-based filter in a Floquet system
• Quaternary Jordan-Wigner mapping and topological extended-kink phase in the interacting Kitaev ring
• Three-dimensional symmetry breaking topological matters
• Emergent chiral symmetry in non-bipartite kagome and pyrochlore lattices with spin-orbit coupling
• Elementary models of 3D topological insulators with chiral symmetry
• Corner states of two-dimensional second-order topological insulators with a chiral symmetry and broken time reversal and charge conjugation
• On Anderson Localization and Chiral Anomaly in Disordered Time-Reversal Invariant Weyl Semimetals: Nonperturbative and Berry Phase Effects
• Spin conductance in SNN junctions with non-centrosymmetric superconductors
• Emergence of Floquet edge states in the coupled Su-Schrieffer-Heeger model
• Coexistence of Chiral Majorana Edge States and Bogoliubov Fermi Surfaces in Two-Dimensional Nonsymmorphic Dirac Semimetal/Superconductor Heterostructures
• Anomaly constraint on chiral central charge of (2+1)d topological order
• Fractionalized time reversal, parity and charge conjugation symmetry in topological superconductor: a possible origin of three generations of neutrinos and mass mixing
• Second Euler number in four dimensional synthetic matter
• Topological Field Theories of Three-Dimensional Rotation Symmetric Insulators: Coupling Curvature and Electromagnetism
• Electrostatic effects of the MnBi2Te4-superconductor hetero-structures in chiral Majorana search
• Chern-Simons theory and atypical Hall conductivity in the Varma phase
• Strong and Weak Three-Dimensional Topological Insulators Probed by Surface Science Methods
• Localization anisotropy and complex geometry in two-dimensional insulators
• Spin selective coupling to Majorana zero modes in mixed singlet and triplet superconducting nanowire
• Symmetry classification of typical quantum entanglement
• Inverse coherence effects in nuclear magnetic relaxation rates as a sign of topological superconductivity
• Entanglement and particle fluctuations of one-dimensional chiral topological insulators
• Quantum Phase Transitions in Proximitized Josephson Junctions
• Edge modes in the Hofstadter model of interacting electrons
• High-gradient operators in perturbed Wess-Zumino-Witten field theories in two dimensions
• Exact analytical solution of a time-reversal-invariant topological superconducting wire
• Tuning Majorana zero modes with temperature in $\pi$-phase Josephson junctions
• Classification of topological invariants related to corner states
• Probing the topological character of superconductors via non-local Hanbury-Brown and Twiss correlations
• Artificial topological models based on a one-dimensional spin-dependent optical lattice
• Triplet-Superconductivity in Triple-Band Crossings
• Topologically compatible non-Hermitian skin effect
• Hierarchy of correlations: Application to Green's functions and interacting topological phases
• Holographic classification of Topological Insulators and its 8-fold periodicity
• Multi-band Eilenberger theory of superconductivity: Systematic low-energy projection
• Boundary States as Holographic Duals of Trivial Spacetimes
• Flat bands in condensed-matter systems -- perspective for magnetism and superconductivity
• Exactly solvable spin chain models corresponding to BDI class of topological superconductors
• Topology of Discrete Quantum Feedback Control
• Higher-order topological superconductor phases in a multilayer system
• Supercurrent-Induced Weyl Superconductivity
• Exact correlations in topological quantum chains
• Topological superconductivity in an ultrathin, magnetically-doped topological insulator proximity coupled to a conventional superconductor
• Bulk-edge Correspondence in the Adiabatic Heuristic Principle
• A coupled wire description of surface $ADE$ topological orders
• Interacting topological phases in thin films of topological mirror Kondo insulators
• Lattice regularisation and entanglement structure of the Gross-Neveu model
• Single-quasiparticle eigenstate thermalization
• $Z_2$ Dirac points with topologically protected multihelicoid surface states
• Exotic Topological States with Raman-Induced Spin-Orbit Coupling
• Driven Topological Systems in the Classical Limit
• Topological Supersolidity of Dipolar Fermi Gases in a Spin-Dependent Optical Lattice
• Tunable topological phases with fermionic atoms in a one-dimensional flux lattice
• Lattice construction of exotic invertible topological phases
• Emergence of Topological Superconductivity in Doped Topological Dirac Semimetals under Symmetry-Lowering Lattice Distortions
• Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. I. Continuum description
• Effect of hybridization symmetry on topological phases of odd-parity multiband superconductors
• Duality in topological superconductors and topological ferromagnetic insulators in a honeycomb lattice
• Majorana modes in trapped-ion system and their Floquet engineering
• Quantized thermal and spin transports of dirty planar topological superconductors
• Strong-coupling approach to temperature dependence of competing orders of superconductivity: Possible time-reversal symmetry breaking and nontrivial topology
• Bulk-entanglement spectrum correspondence in $PT$- and $PC$-symmetric topological insulators and superconductors
• Weyl superconductivity and quasiperiodic Majorana arcs in quasicrystals
• Spontaneous symmetry breaking and quantum Hall valley ordering on the surface of topological hexaborides
• Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Parametric Determinants in the Orthogonal Case
• Fermi points and topological quantum phase transitions in a model of superconducting wires
• Topological properties of finite-size heterostructures of magnetic topological insulators and superconductors
• Flow of unitary matrices: Real-space winding numbers in one and three dimensions
• Scaling of critical wavefunctions at topological Anderson transitions in 1D
• Impurity Effects on Caroli-de Gennes-Matricon Mode in a Vortex Core in Superconductors
• Sub-symmetry Protected Topology in Topological Insulators and Superconductors
• 1D topological chains with Majorana fermions in 2D non-topological optical lattices
• Majorana multipole response with magnetic point group symmetry
• $K$-theory classification of Wannier localizability and detachable topological boundary states
• Atiyah-Hirzebruch spectral sequence for topological insulators and superconductors: $E_2$ pages for 1651 magnetic space groups
• Topologically Induced Fermion Parity Flips in Superconductor Vortices
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• $\mu$SR and magnetometry study of superconducting 5% Pt doped IrTe${}_2$
• Equivalence of topological mirror and chiral superconductivity in one dimension
• Chern numbers associated with the periodic Toda lattice
• Unwinding of a one-dimensional topological superconductor
• The Weyl-Mott point: topological and non-Fermi liquid behavior from an isolated Green's function zero
• Enhancing the Hyperpolarizability of Crystals with Quantum Geometry
• Thermal and thermoelectric transport in flat bands with non-trivial quantum geometry
• Breakdown of Landau Fermi liquid theory: restrictions on the degrees of freedom of quantum electrons
• Logical Majorana zero modes in a nanowire network
• Detrimental effects of disorder in two-dimensional time-reversal invariant topological superconductors
• Theory of surface spectroscopy for noncentrosymmetric superconductors
• Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models
• RKKY to Kondo crossover in Helical Edge of a Topological Insulator
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Robust semi-Dirac points and unconventional topological phase transitions in doped superconducting Sr2IrO4 tunnel coupled to t2g electron systems
• Fulde-Ferrell superfluids in spinless ultracold Fermi gases
• Classifying parafermionic gapped phases using matrix product states
• Symmetry Aspects of Chiral Superconductors
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Tailoring topological states in silicene using different halogen-passivated Si(111) substrates
• Punctured-Chern topological invariants for semi-metallic bandstructures
• Proximity-induced zero-energy states indistinguishable from topological edge states
• Gauging Defects in Quantum Spin Systems
• Characterization of helical states in semiconductor quantum wells using quantum information quantities
• Entanglement entropy and entanglement spectrum of Bi${}_{1-x}$Sb${}_x$ (111) bilayers
• Boiling Quantum Vacuum: Thermal Subsystems from Ground-State Entanglement
• Large-$S$ and tensor-network methods for strongly-interacting topological insulators
• Selective equal spin Andreev reflection at vortex core center in magnetic semiconductor-superconductor heterostructure
• Topological Quantum Phase Transitions in Metallic Shiba Lattices
• Superconductivity in Bi based Bi2PdPt
• Superconductive proximity in a Topological Insulator slab and excitations bound to an axial vortex
• Marginally localized edges of time-reversal symmetric topological superconductors
• Observation of trapped fractional charge and topological states at disclination defects in higher-order topological insulators
• Generalized index theorem for topological superconductors with Yang-Mills-Higgs couplings
• Surface Spectral Function of Momentum-dependent Pairing Potentials in a Topological Insulator: Application to Cu${}_x$Bi${}_2$Se${}_3$
• Majorana Zero Modes in Ferromagnetic Wires without Spin-Orbit Coupling
• Estimation of one-dimensional discrete-time quantum walk parameters by using machine learning algorithms
• Interacting Majorana modes at surfaces of noncentrosymmetric superconductors
• Solvable lattice model for (2+1)D bosonic topological insulator
• Kondo Tunneling into a Quantum Spin Hall Insulator
• Implementing Majorana fermions in a cold-atom honeycomb lattice with textured pairings
• 4$\pi$ and 8$\pi$ dual Josephson effects induced by symmetry defects
• Observation of the possible chiral edge mode in Bi1-xSbx
• Topological Superfluid in one-dimensional Ultracold Atomic System with Spin-Orbit Coupling
• C-P-T Fractionalization
• Topological magnetoelectric pump in three dimensions
• Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. II. Topological classification
• Majorana fermions and Z${}_2$ vortices on a square lattice
• Fermionic symmetry-protected topological state in strained graphene
• Effects of anisotropic correlations in fermionic zero-energy bound states of topological phases
• Majorana bound state of a Bogoliubov-de Gennes-Dirac Hamiltonian in arbitrary dimensions
• Topological Phase Separation In Trapped Ultracold Fermionic Gases
• Competing interactions in population-imbalanced two-component Bose-Einstein condensates
• The effects of dissipation on topological mechanical systems
• A search for correlation-induced adiabatic paths between distinct topological insulators
• The cohomology invariant for class DIII topological insulators
• Deep learning of topological phase transitions from entanglement aspects for two-dimensional chiral p-wave superconductors
• Strain induced spin vortex and Majorana Kramer's pairs in doped topological insulators with nematic superconductivity
• Fate of symmetry protected coherence in open quantum system
• Stability against contact interactions of a topological superconductor in two-dimensional space protected by time-reversal and reflection symmetries
• Topological Aspects of Matters and Langlands Program
• Precise determination of critical points of topological phase transitions via shift current in two-dimensional inversion asymmetric insulators
• Interacting Chern Insulator in Infinite Spatial Dimensions
• Three-dimensional time reversal invariant topological superconductivity in doped chiral topological semimetals
• Inducing anisotropies in Dirac fermions by periodic driving
• Bound states and local topological phase diagram of classical impurity spins coupled to a Chern insulator
• Emergent Topology in Many-Body Dissipative Quantum Matter
• General corner charge formulas in various tetrahedral and cubic space groups
• Type-II topological phase transitions of topological skyrmion phases
• Field Theoretic Aspects of Condensed Matter Physics: An Overview
• The Perturbed Maxwell Operator as Pseudodifferential Operator
• Designing nontrivial one-dimensional Floquet topological phases using a spin-1/2 double-kicked rotor
• Universal Current Correlations Induced by the Majorana and Fermionic Andreev Bound States
• Magnetic flux induced topological superconductivity in magnetic atomic rings
• Topological Superconductivity in Doped Symmetry Protected Topological State
• Helical Topological Superconducting Pairing at Finite Excitation Energies
• Controlling the real-time dynamics of a spin coupled to the helical edge states of the Kane-Mele model
• General response theory of topologically stable Fermi points and its implications for disordered cases
• Hinge Majorana Flat Band in Type-II Dirac Semimetals
• Topological phases in the presence of disorder and longer-range couplings
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• The $\pi$ Berry Phase and Topological Excitation in Interacting Boson-Fermion Mixtures
• Realizing universal quantum gates with topological bases in quantum-simulated superconducting chains
• Symmetry-Protected Solitons and Bulk-Boundary Correspondence in Generalized Jackiw-Rebbi Models
• Muon spin rotation and relaxation study on topological noncentrosymmetric superconductor PbTaSe${}_2$
• Two-dimensional flat band on the (011) surface of UTe${}_2$: Implication for STM measurements with a superconducting tip
• Enhanced and stable spin Hall conductivity in a disordered time-reversal and inversion symmetry broken topological insulator thin film
• Direct topological insulator transitions in three dimensions are destabilized by non-perturbative effects of disorder
• Higher first Chern numbers in one dimensional Bose-Fermi mixtures
• Thermodynamic and topological phase diagrams of correlated topological insulators
• Quantum simulation of topological Majorana bound states and their universal quantum operations using charge-qubit arrays
• Topological phases in discrete stochastic systems
• On the Electromagnetic Response of Topological Superconductors
• Complete zero-energy flat bands of surface states in fully gapped chiral noncentrosymmetric superconductors
• Chiral topological states in Bose-Fermi mixtures
• Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach
• Stability of the boundary zero modes in one-dimensional topological superconductors
• A linear algebra-based approach to understanding the relation between the winding number and zero-energy edge states
• Topological bosonic states on ribbons of honeycomb lattice
• Edge modes for flexural waves in quasi-periodic linear arrays of scatterers
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- part II: Higher-dimensional spectral invariants
• Higher-Order Topological Systems and Their Sub-Symmetry-Protected Topology
• Instanton analysis for the spin quantum Hall symmetry class: Non-perturbative corrections to physical observables and generalized multifractal spectrum
• Topological phases of many-body non-Hermitian systems
• Demonstration of Discrete-Time Quantum Walks and Observation of Topological Edge States in a Superconducting Qutrit Chain
• Probing the dichotomy between Yu-Shiba-Rusinov and Majorana bound states via conductance, quantum noise and ${\Delta }_T$ noise
• Signatures of surface Majorana modes in the magnetic response of topological superconductors
• Topological Crystalline Metal in Orthorhombic Perovskite Iridates
• Finite-temperature topological invariant for higher-order topological insulators
• Design of a room-temperature topological exciton-polariton laser in a ZnO/TiO${}_2$-photonic crystal slab
• Eigenmodes of latent-symmetric quantum photonic networks
• Layer dependent topological phases and transitions in TaRhTe${}_4$: From monolayer and bilayer to bulk
• Instability of QBC systems to Topological Anderson Insulating phases
• Topological strings linking with quasi-particle exchange in superconducting Dirac semimetals
• Intrinsic (Axion) Statistical Topological Insulator
• Experimental realization of Majorana hinge and corner modes in intrinsic organic topological superconductor without magnetic field at room temperature
• Majorana zero modes in a quantum wire platform without Rashba spin-orbit coupling
• Critical Filaments and Superconductivity in Quasiperiodic Twisted Bilayer Graphene
• Topological Anderson insulators by latent symmetry
• Renormalization-group-inspired neural networks for computing topological invariants
• Brane order and quantum magnetism in modulated anisotropic ladders
• Conductance asymmetry in proximitized magnetic topological insulator junctions with Majorana modes
• Representation-protected topology of spin-singlet $s$-wave superconductors
• Quantum walk-based protocol for secure communication between any two directly connected nodes on a network
• Light-induced switch based on edge modes in irradiated thin topological insulators
• Relaxation of the entanglement spectrum in quench dynamics of topological systems
• Non-Hermitian catalysis of spontaneous symmetry breaking on Euclidean and hyperbolic lattices
• Euler--Chern Correspondence via Topological Superconductivity
• Chiral Unitary Quantum Phase Transition in 2H-Fe${}_x$TaSe${}_2$
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• Boundary states in the chiral symmetric systems with a spatial symmetry
• Random Quantum Circuits with Time-Reversal Symmetry
• Hedgehog spin texture and competing orders associated with strains on the surface of a topological crystalline insulator
• Manifestations of topological band crossings in bulk entanglement spectrum: An analytical study for integer quantum Hall states
• Tensor Theory for Higher Dimensional Chern Insulators with Large Chern Numbers
• Effective models for dense vortex lattices in the Kitaev honeycomb model
• Signatures of topological quantum phase transitions in driven and dissipative qubit-arrays
• Non-Abelian vortices in the emergent U(2) gauge theory of the Hubbard model
• Phase diagram of the interacting Haldane model with spin-dependent sublattice potentials
• How spectrum-wide quantum criticality protects surface states of topological superconductors from Anderson localization: Quantum Hall plateau transitions (almost) all the way down
• Field-Programmable Topological Array: Framework and Case-Studies
• Takagi Topological Insulator on the Honeycomb Lattice
• One-dimensional ${\mathbb{Z}}_4$ topological superconductor
• First observation of spin-helical Dirac fermions and topological phases in undoped and doped Bi2Te3 demonstrated by spin-ARPES spectroscopy
• Topological Superfluid Responses of Superconducting Dirac Semimetals
• p-wave Superfluid Phases of Fermi Molecules in a Bilayer Lattice Array
• Topologically protected quantization of work
• Transversality-Enforced Tight-Binding Models for 3D Photonic Crystals aided by Topological Quantum Chemistry
• Classification of emergent Weyl spinors in multi-fermion systems
• Topological orbital superfluid with chiral d-wave order in a rotating optical lattice
• Flat Bands in Three-dimensional Lattice Models with Non-trivial Hopf Index
• Topological phase in a $d_{x^2-y^2}+(p+ip)$ superconductor in presence of spin-density-wave
• Dynamics of Anderson localization in disordered wires
• On quasi-nodal spheres and the spin Hall effect: the case of YH3 and CaTe
• Competing orders, the Wess-Zumino-Witten term, and spin liquids
• Subgap in the surface bound states spectrum of Superfluid ${}^3$He-B with Rough Surface
• Hybrid symmetry class topological insulators
• Polynomial description of inhomogeneous topological superconducting wires
• Bulk-boundary correspondence in Josephson Junctions
• Topological $d$-wave Superconductivity and Nodal Line-Arc Intersections in Weyl Semimetals
• Three-dimensional $\mathbb{Z}$ topological insulators without reflection symmetry
• Superconducting and normal-state anisotropy of the doped topological insulator Sr${}_{0.1}$Bi${}_2$Se${}_3$
• From Hermitian critical to non-Hermitian point-gapped phases
• Band twisting and resilience to disorder in long-range topological superconductors
• Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology
• Nonadiabatic braiding of Majorana modes
• Anisotropic differential conductance of a mixed parity superconductor/ferromagnet structure
• Spinless topological chirality from Umklapp scattering in twisted 3D structures
• Excitonic gap generation in thin-film topological insulators
• Topological Josephson junction in transverse magnetic field
• Entanglement spectra of superconductivity ground states on the honeycomb lattice
• Magnetic-field driven evolution of zero-energy mode on Bi islands deposited on Fe(Te,Se)
• Neutrino zeromodes on electroweak strings in light of topological insulators
• Non-hermitian topology and entanglement in an optomechanical superlattice
• Majorana modes in helical altermagnet without net magnetism and spin-orbit coupling
• Gauge Dynamics and Topological Insulators
• Topological Properties of Single-Particle States Decaying into a Continuum due to Interaction
• Robust quantisation of circular photogalvanic effect in multiplicative topological semimetals
• Identification and properties of topological states in the bulk of quasicrystals
• Superconductivity in doped planar Dirac insulators: A renormalization group study
• Majorana edge states and topological properties in 1D/2D Rashba semiconductor proximity coupled to iron-based superconductor
• Inducing ${\mathbb{Z}}_2$ Topology in Twisted Nodal Superconductors
• Boundary topological insulators and superconductors of Altland-Zirnbauer tenfold classes
• Classification of topological ladder models
• Tunable zero-energy Dirac and Luttinger nodes in a two-dimensional topological superconductor
• Realization of chiral whispering gallery mode cavities enabled by photonic Chern insulators
• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
• Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
• Multiple Majorana bound states and their resilience against disorder in planar Josephson junctions
• Marginal Metals and Kosterlitz-Thouless Type Phase Transition in Disordered Altermagnets
• Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States
• Topological Fulde-Ferrell Superfluids in Triangular Lattices
• Quantum-anomalous-Hall current patterns and interference in thin slabs of chiral topological superconductors
• Zero-energy Majorana states in a one-dimensional quantum wire with charge density wave instability
• Topological bosonic Bogoliubov excitations with sublattice symmetry
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• Enriched classification of parafermionic gapped phases with time reversal symmetry
• High-chirality and multiquaternion Weyl nodes in hexagonal ReO${}_3$
• Vacuum polarization at the boundary of a topological insulator
• Majorana Fermions in Semiconducting Nanowires on the Top of Fulde-Ferrell Superconductor
• PT-symmetric Non-Hermitian Hopf Metal
• Chiral superfluid helium-3 in the quasi-two-dimensional limit
• Designing ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ topological orders in networks of Majorana bound states
• Perfectly localized Majorana corner modes in fermionic lattices
• ${}^3$He-R: A Topological $s^{\pm }$ Superfluid with Triplet Pairing
• Josephson junction arrays as a platform for topological phases of matter
• Breakdown of Bulk-Radiation Correspondence in Radiative Photonic Lattices
• Non-Hermitian Hopf insulators
• Nodal lines and boundary modes in topological Dirac semimetals with magnetism
• Quantum Restored Symmetry Protected Topological Phases
• Su-Schrieffer-Heeger-Hubbard model at quarter filling: effects of magnetic field and non-local interactions
• Surface theory of a second-order topological insulator beyond the Dirac approximation
• Many-body selection rule for quasiparticle pair creations in centrosymmetric superconductors
• Classical correspondence of the exceptional points in the finite non-Hermitian system
• Berry curvature and quantum metric in copper-substituted lead phosphate apatite
• Twisted Nodal Superconductors
• Microcavity polaritons for topological photonics
• Particle-hole asymmetry and quantum confinement effects on the magneto-optical response of topological insulator thin-films
• Inductance Due to Spin Current
• A New Non-Abelian Topological Phase of Cold Fermi Gases in Anisotropic and Spin-Dependent Optical Lattices
• Multi-locational Majorana Zero Modes
• Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
• Direct observation of the surface superconducting gap in the topological superconductor candidate β-PdBi2
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
• Diffusion at the Surface of Topological Insulators
• Topological insulators and geometry of vector bundles
• Adiabatic pumping and transport in the Sierpinski-Hofstadter model
• Stability of the X-Y-phase of the two-dimensional C4 point group insulator
• Topological defect-mediated corner states and higher-order bulk topology in a two-dimensional crystalline insulator
• A spin pump characterized by entanglement Chern numbers
• Topology reconstruction for asymmetric systems by isomorphic mapping or perturbation approximation
• Photocurrent and photoconductance of an helical edge state
• Emergent gauge fields and their nonperturbative effects in correlated electrons
• Extended Dynamical Symmetries of Landau Levels in Higher Dimensions
• Modulating Hamiltonian Approach to Quantum Many-Body Systems and Crystalline Topological Phases Protected by Generalized Magnetic Translations
• Unsupervised Learning of Symmetry Protected Topological Phase Transitions
• Topological phases protected by projective space-time inversion symmetry in alkaline-earth-metal-like atoms
• Exponential suppression of the topological gap in self-consistent intrinsic Majorana nanowires
• Quantitative measure of topological protection in Floquet systems through the spectral localizer
• Topological quantum slinky motion in resonant extended Bose-Hubbard model
• Spacetime symmetry indicators for two-dimensional Floquet topological insulators
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Theory of quantum spin-Hall topological lasers
• Intrinsic non-Hermitian topological phases
• Euler band topology in superfluids and superconductors
• Tunable Magnetic Order in Chiral Coupled Spin Chains
• Comparison between two approaches to classify topological insulators using K-theory
• Kondo spin liquid in Kondo necklace model: Classical disordered phase versus symmetry-protected topological state
• Topological Phases in Non-Hermitian Nonlinear-Eigenvalue Systems
• Regularized universal topological markers for Dirac systems
• Visualizing the Odd-parity Superconducting Order Parameter and its Quasiparticle Surface Band in UTe2
• Impact of Boundary Conditions on the Double-Kicked Quantum Rotor
• Universal Chern number statistics in random matrix fields
• Critical behavior of Anderson transitions in higher dimensional Bogoliubov-de Gennes symmetry classes
• Measuring the Spin Polarization of a Ferromagnet: an Application of Time-Reversal Invariant Topological Superconductor
• Hidden chiral symmetries in BDI multichannel Kitaev chains
• Inhomogeneous Fixed Point Ensembles Revisited
• Electronic structures and stability investigation of the new class of large band gap topological insulators MTl${}_4$Te${}_3$ (M = Cd, Hg)
• Revealing inverted chirality of hidden domain wall states in multiband systems without topological transition
• Statistical Topology -- Distribution and Density Correlations of Winding Numbers in Chiral Systems
• Tuning the topology of $p$-wave superconductivity in an analytically solvable two-band model
• Phase Diagram of a Spin-Orbit Coupled Fermi Gases in a Bilayer Optical Lattice
• Topological states in chiral electronic chains
• Generic Weyl phase in the vortex state of quasi-two-dimensional chiral superconductors
• Intrinsic emergence of Majorana modes in Luttinger j=3/2 systems
• Anomalous gapped boundaries between surface topological orders in higher-order topological insulators and superconductors with inversion symmetry
• Deep learning of topological phase transitions from entanglement aspects: An unsupervised way
• Robust band of critical states in T broken fermionic systems with lattice selective disorder
• Nematic order in topological SYK models
• Topological edge states in bowtie ladders with different cutting edges
• Distinguishing dynamical quantum criticality through local fidelity distances
• Fermi-surface diagnosis for topological superconductivity with $s$-wave-like pairing symmetries
• The Origin of Aromaticity: Aromatic Compounds as Intrinsic Topological Superconductors with Majorana Fermion
• Topological Surface Superconductivity Induced by Hydrostatic Pressure-Enhanced Antisymmetric Spin-Orbit Coupling in Non-Centrosymmetric Superconductor PbTaSe2
• Discovery of the topological surface state in a noncentrosymmetric superconductor BiPd
• Crystalline finite-size topology
• Tunneling Magnetoresistance in Junctions Composed of Ferromagnets and Time-Reversal Invariant Topological Superconductors
• Theory of Tunneling Effect in 1D AIII-class Topological Insulator (Nanowire) Proximity Coupled with a Superconductor
• Observation of novel robust edge states without bulk-boundary correspondence in non-Hermitian quantum walks
• Topological phases in interacting spin-1 systems
• Possible Chiral Topological Superconductivity in CrO${}_2$ bilayers
• Modular Anomalies in (2+1) and (3+1)-D Edge Theories
• Superfluid Stiffness and Josephson Quantum Capacitance: Adiabatic Approach and Topological Effects
• Instanton effects in lattice models of bosonic symmetry-protected topological states
• Majorana Braiding Racetracks from Charge Chern Insulator - Superconductor Hybrids
• Theory of Topological Superconductivity in Doped IV-VI Semiconductors
• Manipulating Topological Polaritons in Optomechanical Ladders
• Surface states around a vortex in topological superconductors: Intersection of a surface and a vortex
• Refined Characterization of Lattice Chern Insulators by Bulk Entanglement Spectrum
• (2+1)D topological phases with RT symmetry: many-body invariant, classification, and higher order edge modes
• Three-dimensional honeycomb carbon: Junction line distortion and novel emergent fermions
• Topological fluctuating electron-hole Cooper pairs in graphene-GaAs heterostructures
• Localized interfacial Phonon Modes at the Electronic Axion Domain Wall
• Tunable zero modes and quantum interferences in flat-band topological insulators
• Real-space formulation of topology for disordered Rice-Mele chains without chiral symmetry
• Fragile topological insulators protected by rotation symmetry without spin-orbit coupling
• Inversion-symmetric Electron Gases as New Platforms for Topological Planar Josephson Junctions
• Current control of systems with a Peierls distortion by magnetic field
• Real-space representation of the second Chern number
• Cartesian Nodal Lines and Magnetic Kramers Weyl Nodes in Spin-Split Antiferromagnets
• Impurity screening by defects in (1+1)$d$ quantum critical systems
• Symmetry classification correspondence between quadratic Lindbladians and their steady states
• Dynamic critical exponents as an emergent property at interacting topological quantum critical points
• Manipulation of Majorana wave packets at surfaces of nodal noncentrosymmetric superconductors
• Extended Haldane model -- a modern gateway to topological insulators
• Majorana edge states in s-wave kagome superconductors with Rashba interaction
• Floquet Gauge Pumps as Sensors for Spectral Degeneracies Protected by Symmetry or Topology
• Topological Degeneracy Induced Flat Bands in two-Dimensional Holed Systems
• Symmetry and Topology of Monitored Quantum Dynamics
• Promoted current-induced spin polarization in inversion symmetry broken topological insulator thin films
• Symmetry-induced even/odd parity in charge and heat pumping
• Higher order topology in a Creutz ladder
• Possible Electric-Field-Induced Superconducting States in Doped Silicene
• Topological Characterization of Kitaev Spin Nanoribbons with Ordered Flux Configurations
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Orbital dynamics in 2D topological and Chern insulators
• Classification of topological insulators and superconductors with multiple order-two point group symmetries
• Code CFTs and Topological Matter
• Field-induced topological pair-density wave states in a multilayer optical lattice
• The mixing-spacetime symmetry in the Floquet-Bloch band theory
• Stability via symmetry breaking in interacting driven systems
• A theorem regarding families of topologically non-trivial fermionic systems
• Three-dimensional spinless Euler insulators with rotational symmetry
• Predication of topological states in the allotropes of group-IV elements
• To See a World in a Grain of Sand -- The Scientific Life of Shoucheng Zhang
• Defect engineering spin centers in interacting many-body Su-Schrieffer-Heeger chains
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model
• Correspondence of topological classification between quantum graph extra dimension and topological matter
• Theory of Berry Singularity Markers: Diagnosing Topological Phase Transitions via Lock-In Tomography
• Dynamical Symmetry Indicators for Floquet Crystals
• Analytical solutions of topological surface states in a series of lattice models
• Changes of Kondo effect in the junction with DIII-class topological and $s$-wave superconductors
• Lattice-induced wavefunction effects on trapped superfluids
• From orthogonal link to phase vortex in generalized dynamical Hopf insulators
• Strictly one dimensional behavior emerging from dispersive two dimensional system: implications on metallic nanowires on semiconducting substrates
• Berry Phase Enforced Spinor Pairing Order
• Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy
• Mixed-pairing superconductivity in 5d Mott insulators with antisymmetric exchange
• Cyclic cocycles and quantized pairings in materials science
• Influence of Magnetic Field on Surface Andreev Bound States in Superfluid ${}^3$He-B Studied by Mobility of Electron Bubble
• Persistent Haldane Phase in Carbon Tetris Chains
• Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional Fermionic Media
• Multiplicative Chern insulator
• Magnetic-Field Tunable Möbius and Higher-Order Topological Insulators in Three-Dimensional Layered Octagonal Quasicrystals
• Non-Commutative Geometry in Higher Dimensional Quantum Hall Effect as A-Class Topological Insulator
• Quantum Entanglement of Anyonic Charges and Emergent Spacetime Geometry
• Topological advantage for adsorbate chemisorption on conjugated chains
• Momentum space topology of QCD
• Dimensional crossover of class D real-space topological invariants
• Topological Invariant for Bosonic Bogoliubov-de Gennes Systems with Disorder
• Possible Pairing Symmetry of BaPtAs${}_{1-x}$Sb${}_x$ with an Ordered Honeycomb Network
• Ultracold atomic lattice systems for simulating topological phases: A review
• Universal Optimal Gates Regarding Quantum Entanglement and Discord Generating
• Topological Tenfold Classification and the Entanglement of Two Qubits
• Hinge modes of three-dimensional Euler insulators
• Electrostatic gating and the interference of chiral Majoranas in thin slabs of magnetic topological insulators
• Gapped spinful phases obtained via Gutzwiller projections of Euler states
• The analytically tractable zoo of similarity-induced exceptional structures
• Rashba spin-orbit coupling and artificially engineered topological superconductors
• Physical Pictures for Quasisymmetry in Crystals
• Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group
• One-dimensional interacting Su-Schrieffer-Heeger model at quarter filling: An exact diagonalization study
• Winding Number Statistics for Chiral Random Matrices: Universal Correlations and Statistical Moments in the Unitary Case
• Generalized symmetry enriched criticality in (3+1)d
• Large gap, a pseudogap and proximity effect in the Bi2Te3/Fe1+yTe interfacial superconductor
• Chiral topological superconductivity in twisted bilayer and double bilayer graphene
• Real-space formulation of the Chern invariant and topological phases in a disordered Chern insulator
• Topological phase states of the SU(3) QCD
• Asymmetric real topology of conduction and valence bands
• Free-Fermion Measurement-Induced Volume- to Area-Law Entanglement Transition in the Presence of Fermion Interactions
• Equivalence class of Emergent Single Weyl fermion lattice models in 3 dimensions: gapless superconductors and superfluids versus chiral fermions
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Quasi-adiabatic thermal ensemble preparation in the thermodynamic limit
• First-principles studies of fermiology in topological phases of bulk ZrTe${}_5$
• Josephson and persistent currents in a quantum ring between topological superconductors
• Theoretical study on thermalization in isolated quantum systems
• Boundary criticality in two-dimensional interacting topological insulators
• Hidden chiral symmetry protected $\mathbb{Z}\oplus \mathbb{Z}$ topological insulators in a ladder dimer model
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
• Topological Insulators with Ultracold Atoms
• Trivial and Non-trivial Superconductivity in dsDNA
• Topological superconductivity and fractional Josephson effect in quasi-one dimensional wires on a plane
• Nodal Line Topological Superfluid and Multiply Protected Majorana Fermi Arc in a Three-Dimensional Time-Reversal-Invariant Superfluid Model
• Time-reversal symmetric topological superconductivity in Machida-Shibata lattices
• Can Topological Transitions be Exploited to Engineer Intrinsically Quench-resistant Wires?
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors
• On sampling determinantal and Pfaffian point processes on a quantum computer
• Fractional spin Josephson effect in topological spin superconductors
• Glide-resolved photoemission spectroscopy: Measuring topological invariants in nonsymmorphic space groups
• Symmetry Reduction and Boundary Modes for Fe-Chains on an s-wave Superconductor
• Discrete global symmetries and dynamics of emergent fermions
• Volume-law entanglement entropy of typical pure quantum states
• Observation of Majorana Plasmon by Molecular Topological Superconductor and Its Topological SPASER
• Tensor network states for the description of quantum many-body systems
• Anomalies of kagome antiferromagnets on magnetization plateaus
• One-dimensional topology and topolectrics of nonsymmorphic Kramers degenerate systems
• Vortical Quantum Memory
• Chiral Majorana Fermions in two dimensional square lattice antiferromagnet with proximity-induced superconductivity
• Immutable quantized transport in Floquet chains
• A Universal Chern Model on Arbitrary Triangulations
• Galilei covariance of the theory of Thouless pumps