Classification of topological quantum matter with symmetries

Abstract

Topological materials have become the focus of intense research in recent years, since they exhibit fundamentally new physical phenomena with potential applications for novel devices and quantum information technology. One of the hallmarks of topological materials is the existence of protected gapless surface states, which arise due to a nontrivial topology of the bulk wave functions. This review provides a pedagogical introduction into the field of topological quantum matter with an emphasis on classification schemes. We consider both fully gapped and gapless topological materials and their classification in terms of nonspatial symmetries, such as time-reversal, as well as spatial symmetries, such as reflection. Furthermore, we survey the classification of gapless modes localized on topological defects. The classification of these systems is discussed by use of homotopy groups, Clifford algebras, K-theory, and non-linear sigma models describing the Anderson (de-)localization at the surface or inside a defect of the material. Theoretical model systems and their topological invariants are reviewed together with recent experimental results in order to provide a unified and comprehensive perspective of the field. While the bulk of this article is concerned with the topological properties of noninteracting or mean-field Hamiltonians, we also provide a brief overview of recent results and open questions concerning the topological classifications of interacting systems.

10 tables and 14 figures. Accepted for publication in Rev. Mod. Phys

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Cited by in corpus (1807)

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• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Topological phases of non-Hermitian systems
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Symmetry and Topology in Non-Hermitian Physics
• Microwave photonics with superconducting quantum circuits
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• Observation of a phononic quadrupole topological insulator
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Topological Bands for Ultracold Atoms
• Non-Hermitian Chern bands
• Catalogue of Topological Electronic Materials
• Topological axion states in magnetic insulator MnBi${}_2$Te${}_4$ with the quantized magnetoelectric effect
• Topological nature of nonlinear optical effects in solids
• Non-Hermitian Topology and Exceptional-Point Geometries
• Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
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• Cold molecules: Progress in Quantum Engineering of Chemistry and Quantum Matter
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• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Topological acoustics
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• Higher-order non-Hermitian skin effect
• New topological invariants in non-Hermitian systems
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• Nodal surface semimetals: Theory and material realization
• Double-Weyl phonons in transition-metal monosilicides
• Superfluidity and Quantum Geometry in Twisted Multilayer Systems
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• Nodal-link semimetals
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• High-Temperature Majorana Corner States
• Topological Magnons: A Review
• Symmetry-protected nodal phases in non-Hermitian systems
• Higher-Order Topological Insulators in Quasicrystals
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• Topological Insulators in Random Lattices
• A fractional corner anomaly reveals higher-order topology
• Higher Order Topological Phases: A General Principle of Construction
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• Observation of Quadrupole Transitions and Edge Mode Topology in an LC network
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• Co-existence of Weyl Fermion and Massless Triply Degenerate Nodal Points
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Topological semimetals with double-helix nodal link
• Tenfold Way for Quadratic Lindbladians
• Gapless Dirac surface states in the antiferromagnetic topological insulator MnBi2Te4
• Nodal-knot semimetals
• Knots and Non-Hermitian Bloch Bands
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• Topological semimetals with Riemann surface states
• Geometry of quantum phase transitions
• Topological Phases in Non-Hermitian Aubry-André-Harper Models
• Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
• Anomalous helical edge states in a non-Hermitian Chern insulator
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• Gauging spatial symmetries and the classification of topological crystalline phases
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• Circuit Implementation of a Four-Dimensional Topological Insulator
• Dimensional hierarchy of higher-order topology in three-dimensional sonic crystals
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• Experimental observation of non-Abelian topological charges and bulk-edge correspondence
• Dirac nodal lines and induced spin Hall effect in metallic rutile oxides
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• Relations between topology and the quantum metric for Chern insulators
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• Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
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• Boundary Green functions of topological insulators and superconductors
• Observation of symmetry-protected topological band with ultracold fermions
• Topological phases without crystalline counterparts
• Floquet second-order topological insulators from nonsymmorphic space-time symmetries
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• Circular dichroism in high-order harmonic generation: Heralding topological phases and transitions in Chern insulators
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• Spin Space Groups: Full Classification and Applications
• Experimental characterization of fragile topology in an acoustic metamaterial
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• Controlling mass and energy diffusion with metamaterials
• Dynamical classification of topological quantum phases
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• Non-Hermitian topology of spontaneous magnon decay
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• Machine Learning Topological Phases with a Solid-state Quantum Simulator
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• Classification of topological insulators and superconductors out of equilibrium
• Switching spinless and spinful topological phases with projective $PT$ symmetry
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• Classical symmetries and the Quantum Approximate Optimization Algorithm
• Crystalline Nodal Topological Superconductivity and Bogolyubov Fermi Surfaces in Monolayer NbSe${}_2$
• Universality classes of topological phase transitions with higher-order band crossing
• Charge impurity effects in hybrid Majorana nanowires
• Universality in driven open quantum matter
• Higher-order topological band structures
• Brillouin Klein Bottle From Artificial Gauge Fields
• Global band topology of simple and double Dirac-point (semi-)metals
• Photovoltaic anomalous Hall effect in line-node semimetals
• Symmetry-Breaking Topological Insulators in the ${\mathbb{Z}}_2$ Bose-Hubbard Model
• Classification of (2+1)D invertible fermionic topological phases with symmetry
• Non-Hermitian Photonic Lattices: tutorial
• Floquet higher-order topological insulators and superconductors with space-time symmetries
• Classification of Crystalline Topological Insulators and Superconductors with Point Group Symmetries
• Higher-order topological superconductivity: possible realization in Fermi gases and Sr${}_2$RuO${}_4$
• Topological Materials Discovery By Large-order symmetry indicators
• Emergence of PT-symmetry breaking in open quantum systems
• Systematic investigation of emergent particles in type-III magnetic space groups
• Engineering of topological state transfer and topological beam splitter in an even-size Su-Schrieffer-Heeger chain
• Backscattering immunity of dipole-exchange magnetostatic surface spin waves
• Competing orders and topology in the global phase diagram of pyrochlore iridates
• Fate of Majorana zero modes, critical states and non-conventional real-complex transition in non-Hermitian quasiperiodic lattices
• Dynamical Topological Quantum Phase Transitions at Criticality
• Conductance of a superconducting Coulomb blockaded Majorana nanowire
• Operational Entanglement of Symmetry-Protected Topological Edge States
• Robust odd-parity superconductivity in the doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$
• Symmetry-enforced topological nodal planes at the Fermi surface of a chiral magnet
• Synthetic Dimensions with Magnetic Fields and Local Interactions in Photonic Lattices
• Floquet second-order topological insulators in non-Hermitian systems
• Unconventional phases in a Haldane model of dice lattice
• Tuning anomalous Floquet topological bands with ultracold atoms
• Floquet dynamical quantum phase transitions under synchronized periodic driving
• Vortex and Surface Phase Transitions in Superconducting Higher-order Topological Insulators
• Topological Phases of Photonic Crystals under Crystalline Symmetries
• Theoretical realization of hybrid Weyl state and associated high catalytic performance for hydrogen evolution in NiSi
• Quantized charge transport in chiral Majorana edge modes
• Mott insulators with boundary zeros
• Band Gap Closing in a Synthetic Hall Tube of Neutral Fermions
• Finite-size effects in non-Hermitian topological systems
• Poor man's topological quantum gate based on the Su-Schrieffer-Heeger model
• Topological phases and bulk-edge correspondence of magnetized cold plasmas
• Encyclopedia of emergent particles in type-IV magnetic space groups
• Hermitian zero modes protected by nonnormality: Application of pseudospectra
• Exhaustive constructions of effective models in 1651 magnetic space groups
• Non-Hermitian Boundary State Engineering in Anomalous Floquet Topological Insulators
• Detecting topological invariants in chiral symmetric insulators via losses
• Fractional Josephson Effect with and without Majorana Zero Modes
• Topological Time Crystals
• Majorana bound states in semiconducting nanostructures
• Anyon condensation and a generic tensor-network construction for symmetry protected topological phases
• Topological Phase Transition Independent of System Non-Hermiticity
• Topological classification and diagnosis in magnetically ordered electronic materials
• Realization of a Hopf insulator in circuit systems
• Measurement of Topological Order based on Metric-Curvature Correspondence
• Quantum simulation for three-dimensional chiral topological insulator
• $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian Dirac semimetals
• Non-Hermitian band topology with generalized inversion symmetry
• Topologically stable gapless phases in nonsymmorphic superconductors
• Real-space recipes for general topological crystalline states
• The gauge-field extended $k\cdot p$ method and novel topological phases
• Breakdown of topological Thouless pumping in the strongly interacting regime
• Exact eigenvectors and eigenvalues of the finite Kitaev chain and its topological properties
• Topological surface superconductivity in doped Weyl loop materials
• Multiple-Fold Fermions and Topological Fermi Arcs Induced Catalytic Enhancement in Nanoporous Electride C12A7
• Topological acoustic triple point
• Non-Hermitian skin effect of dislocations and its topological origin
• Insensitivity of bulk properties to the twisted boundary condition
• Particle-Hole Symmetries in Condensed Matter
• Conversion rules for Weyl points and nodal lines in topological media
• Minimalist approach to the classification of symmetry protected topological phases
• Continuous bulk and interface description of topological insulators
• Topological Phases in Magnonics
• Magnetic higher-order nodal lines
• Topological edge states with ultracold atoms carrying orbital angular momentum in a diamond chain
• Non-Hermitian generalizations of extended Su-Schrieffer-Heeger models
• Measuring Electromagnetic and Gravitational Responses of Photonic Landau Levels
• Using nonlocal surface transport to identify the axion insulator
• Complete classification of band nodal structures
• Reducing electronic transport dimension to topological hinge states by increasing geometry size of Dirac semimetal Josephson junctions
• Four-band non-Abelian topological insulator and its experimental realization
• Topological magnon bands in the zigzag and stripy phases of antiferromagnetic honeycomb lattice
• Anomalous Dirac Plasmons in 1D Topological Electrides
• Magnon topology and thermal Hall effect in trimerized triangular lattice antiferromagnet
• Two-dimensional topological semimetals
• Topological band crossings in hexagonal materials
• Realization of a Z classified chiral-symmetric higher-order topological insulator in a coupling-inversion acoustic crystal
• Universal competitive spectral scaling from the critical non-Hermitian skin effect
• T-carbon: experiments, properties, derivatives and potential applications
• Exceptional band touching for strongly correlated systems in equilibrium
• Dynamic winding number for exploring band topology
• Multi-gap topology and non-Abelian braiding of phonons from first principles
• Topological Properties of Gapped Graphene Nanoribbons with Spatial Symmetries
• Quasi 1D topological nodal vortex line phase in doped superconducting 3D Dirac Semimetals
• Hourglass Weyl loops in two dimensions: Theory and material realization in monolayer GaTeI family
• Topological aspects of periodically driven non-Hermitian Su-Schrieffer-Heeger model
• Phonon-induced Floquet second-order topological phases protected by space-time symmetries
• Lieb-Schultz-Mattis anomalies as obstructions to gauging (non-on-site) symmetries
• Charge-4 Weyl point: Minimum lattice model and chirality-dependent properties
• Boundary conformal field theory and symmetry protected topological phases in $2+1$ dimensions
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• Computation of topological phase diagram of disordered Pb${}_{1-x}$Sn${}_x$Te using the kernel polynomial method
• Crossing-Line-Node Semimetals: General Theory and Application to Rare-Earth Trihydrides
• Type-II Dirac surface states in topological crystalline insulators
• Minimal non-abelian nodal braiding in ideal metamaterials
• Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2
• Majorana-Weyl crossings in topological multi-terminal junctions
• Type-II Dirac photons at the metasurfaces
• Floquet engineering to exotic topological phases in systems of cold atoms
• Symmetry-enforced ideal lantern-like phonons in ternary nitride Li${}_6$WN${}_4$
• Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations
• Integrable nonunitary open quantum circuits
• Proposal for detecting nodal-line semimetal surface-states with resonant spin-flipped reflection
• Testing Topological Protection of Edge States in Hexagonal Quantum Spin Hall Candidate Materials
• Stabilizing multiple topological fermions on a quantum computer
• High-order topological insulators from high-dimensional Chern insulators
• Line nodes, Dirac points and Lifshitz transition in 2D nonsymmorphic photonic crystals
• Topological Route to New and Unusual Coulomb Spin Liquids
• Topological superconductivity in quasicrystals
• Spinful topological phases in acoustic crystals with projective PT symmetry
• Two-dimensional topological superconductivity candidate in van der Waals layered material
• Weyl-Kondo semimetals in nonsymmorphic systems
• Topological input-output theory for directional amplification
• Symmetry Protected Topological Metals
• Gross-Neveu-Wilson model and correlated symmetry-protected topological phases
• An ab-initio study of circular photogalvanic effect in chiral multifold semimetals
• Generic coexistence of Fermi arcs and Dirac cones on the surface of time-reversal invariant Weyl semimetals
• Smart patterning for topological pumping of elastic surface waves
• Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders
• Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons
• Kane-Mele with a twist: Quasicrystalline higher-order topological insulators with fractional mass kinks
• Prediction of Ideal Topological Semimetals with Triply Degenerate Points in NaCu${}_3$Te${}_2$ Family
• Topological phase transition in coupled rock-paper-scissor cycles
• Photoemission Spectroscopic Evidence for the Dirac Nodal Line in Monoclinic Semimetal SrAs${}_3$
• Simulation of Higher-Order Topological Phases and Related Topological Phase Transitions in a Superconducting Qubit
• Universal topological marker
• Realization and Topological Properties of Third-Order Exceptional Lines Embedded in Exceptional Surfaces
• Probing bulk topological invariants using leaky photonic lattices
• Non-Hermitian Topological End-Mode Lasing in Polariton Systems
• Helical Liquids in Semiconductors
• Fragility of Time-Reversal Symmetry Protected Topological Phases
• Topological gimbal phonons in T-carbon
• Antiferromagnetic Topological Nodal Line Semimetals
• Intertwined Topological Phases induced by Emergent Symmetry Protection
• Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
• Topological space-time crystal
• Pairing and superconductivity in quasi one-dimensional flat band systems: Creutz and sawtooth lattices
• A generic theory for Majorana zero modes in 2D superconductors
• Disorder-driven Phase Transitions of Second-order Non-Hermitian Skin Effects
• Symmetry and topological classification of Floquet non-Hermitian systems
• Non-Hermitian dislocation modes: Stability and melting across exceptional points
• $\beta$-CuI: a Dirac semimetal without surface Fermi arcs
• Non-Hermitian Squeezed Polarons
• Effect of disorder on topological charge pumping in the Rice-Mele model
• Geometry-dependent skin effects in reciprocal photonic crystals
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Observation of topological Euler insulators with a trapped-ion quantum simulator
• Observation of boundary induced chiral anomaly bulk states and their transport properties
• Magneto-optics of a Weyl semimetal beyond the conical band approximation: the case study of TaP
• Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain
• Periodic Table of SYK and supersymmetric SYK
• Comprehensive scan for nonmagnetic Weyl semimetals with nonlinear optical response
• Majorana modes in emergent-wire phases of helical and cycloidal magnet-superconductor hybrids
• Dropping an impurity into a Chern insulator: a polaron view on topological matter
• Interaction-induced topological properties of two bosons in flat-band systems
• Two topologically distinct Dirac-line semimetal phases and topological phase transitions in rhombohedrally stacked honeycomb lattices
• Periodic array of quantum rings strongly coupled to circularly polarized light as a topological insulator
• Single Pair of Weyl Points in Nonmagnetic Crystals
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Signature of Fermi arc surface states in Andreev reflection at the WTe${}_2$ Weyl semimetal surface
• Superconductivity without inversion and time-reversal symmetries
• Generalized Wen-Zee Terms
• Controllable double quantum state transfers by one topological channel in a frequency-modulated optomechanical array
• Inversion symmetric non-Hermitian Chern insulator
• Characterizing topological phases by quantum quenches: A general theory
• Circuit realisation of a two-orbital non-Hermitian tight-binding chain
• Topological States in Generalized Electric Quadrupole Insulators
• Symmetry-enforced band crossings in tetragonal materials: Dirac and Weyl degeneracies on points, lines, and planes
• Crystalline Kitaev spin liquids
• Stiefel-Whitney topological charges in a three-dimensional acoustic nodal-line crystal
• Universal quantum criticality in static and Floquet-Majorana chains
• ${\mathbb{Z}}_N$ gauge theories coupled to topological fermions: QED${}_2$ with a quantum-mechanical $\theta$ angle
• Disorder Effects in Topological States -- Brief Review of the Recent Developments
• Linear and non-linear transport across a finite Kitaev chain: an exact analytical study
• Pseudo Dirac Nodal Sphere: Unusual Electronic Structure and Material Realization
• Almost ideal nodal-loop semimetal in monoclinic CuTeO${}_3$ material
• Topological properties of the long-range Kitaev chain with Aubry-André-Harper modulation
• Dissipationless Layertronics in Axion Insulator $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• Higher-order topological superconductors based on weak topological insulators
• Weakly Interacting Topological Insulators: Quantum Criticality and Renormalization Group Approach
• Anomalous Quantum Oscillations of Interacting Electron-hole Gases in Inverted Type-II InAs/GaSb Quantum Wells
• Topology in non-Hermitian Chern insulators with skin effect
• Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d $SU(2)$ SYM
• Klein-Gordon representation of acoustic waves and topological origin of surface acoustic modes
• Tenfold Topology of Crystals: Unified classification of crystalline topological insulators and superconductors
• Mapping quantum geometry and quantum phase transitions to real space by a fidelity marker
• Entanglement Spectrum Crossings Reveal non-Hermitian Dynamical Topology
• Hourglass semimetals with nonsymmorphic symmetries in three dimensions
• Topological superconductivity in Kondo-Kitaev model
• Topological phase transitions in glassy quantum matter
• Symmetry-Protected Topological Phases in a Rydberg Glass
• Classification of Matrix-Product Unitaries with Symmetries
• Topological and non-topological features of generalized Su-Schrieffer-Heeger models
• Symmetry-protected line nodes and Majorana flat bands in nodal crystalline superconductors
• Designing three-dimensional flat bands in nodal-line semimetals
• Generating quantum multi-criticality in topological insulators by periodic driving
• Bulk-boundary correspondence for disordered free-fermion topological phases
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Bose-Einstein Condensate on a Synthetic Topological Hall Cylinder
• Optical manifestations and bounds of topological Euler class
• Quantum oscillations in strongly correlated topological Kondo insulators
• Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality
• Topological magnetic excitations
• Large-scale GHZ states through topologically protected zero-energy mode in a superconducting qutrit-resonator chain
• Discovery of Higher-Order Topological Insulators using the Spin Hall Conductivity as a Topology Signature
• Topological phase transition measured in a dissipative metamaterial
• Unsupervised and supervised learning of interacting topological phases from single-particle correlation functions
• High-throughput Investigations of Topological and Nodal Superconductors
• Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
• Bulk characterization of topological crystalline insulators: stability under interactions and relations to symmetry enriched U(1) quantum spin liquids
• 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
• Robustness of symmetry-protected topological states against time-periodic perturbations
• Evidence for exchange Dirac gap in magneto-transport of topological insulator-magnetic insulator heterostructures
• Topological spin excitations in Harper-Heisenberg spin chains
• Machine learning spectral indicators of topology
• Fidelity susceptibility near topological phase transitions in quantum walks
• Square-root topological phase with time-reversal and particle-hole symmetry
• Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures
• Topological Superconductivity in an s-wave Superconductor and Its Implication to Iron-based Superconductors
• Enhanced topological superconductivity in spatially modulated planar Josephson junctions
• Topological properties of subsystem-symmetry-protected edge states in an extended quasi-one-dimensional dimerized lattice
• Synthetic Weyl Points and Chiral Anomaly in Majorana Devices with Nonstandard Andreev-Bound-State Spectra
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Non-Abelian Majorana modes protected by an emergent second Chern number
• Symmetry indicator in non-Hermitian systems
• Topological nodal line semimetals in holography
• Unsupervised learning using topological data augmentation
• Majorana Zero Modes Protected by Hopf Invariant in Topologically Trivial Superconductors
• Experimental realization of two-dimensional weak topological insulators
• Two-body bound and edge states in the extended SSH Bose-Hubbard model
• Robust topological order in fermionic ${\mathbb{Z}}_2$ gauge theories: from Aharonov-Bohm instability to soliton-induced deconfinement
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Universal platform of point-gap topological phases from topological materials
• Second-Order Bulk-Boundary Correspondence in Rotationally Symmetric Topological Superconductors from Stacked Dirac Hamiltonians
• Quantum many-body topology of quasicrystals
• Interplay between short-range correlated disorder and Coulomb interaction in nodal-line semimetals
• Geometrically protected triple-point crossings in an optical lattice
• Trapped state at a dislocation in a weak magnetomechanical topological insulator
• Interaction effects on the classification of crystalline topological insulators and superconductors
• Magneto-optical conductivity of double Weyl semimetals
• Ubiquity of zeros of Loschmidt amplitude for mixed states in different physical processes and their implications
• Singular-Value Statistics of Non-Hermitian Random Matrices and Open Quantum Systems
• Generalization of Bloch's theorem for arbitrary boundary conditions: Interfaces and topological surface band structure
• Quadratic pseudospectrum for identifying localized states
• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• Majorana quasiparticles in semiconducting carbon nanotubes
• Classifying topology in photonic heterostructures with gapless environments
• Fully spin-polarized nodal chain state in half metal LiV${}_2$O${}_4$
• Topological Anderson insulators induced by random binary disorders
• Self-organized topological insulator due to cavity-mediated correlated tunneling
• Topology and entanglement in quench dynamics
• Non-Hermitian many-body topological excitations in interacting quantum dots
• Non-Abelian charged nodal links in dielectric photonic crystal
• Mirror Protected Multiple Nodal Line Semimetals and Material Realization
• Relationship between Symmetry Protected Topological Phases and Boundary Conformal Field Theories via the Entanglement Spectrum
• Antiferromagnetism-driven two-dimensional topological nodal-point superconductivity
• Faithful derivation of symmetry indicators: A case study for topological superconductors with time-reversal and inversion symmetries
• Designing 3D topological insulators by 2D-Xene (X = Ge, Sn) sheet functionalization in the GaGeTe-type structures
• Amorphous topological phases protected by continuous rotation symmetry
• Non-Abelian Generalizations of the Hofstadter model: Spin-orbit-coupled Butterfly Pairs
• Piezoelectricity and Topological Quantum Phase Transitions in Two-Dimensional Spin-Orbit Coupled Crystals with Time-Reversal Symmetry
• Dissipative Kerr solitons in a photonic dimer on both sides of exceptional point
• On the bulk boundary correspondence and the existence of Majorana bound states on the edges of 2D topological superconductors
• Floquet Non-Abelian Topological Insulator and Multifold Bulk-Edge Correspondence
• What's knot to like? Observation of a linked loop quantum state
• Topological Sachdev-Ye-Kitaev Model
• The topological counterparts of non-Hermitian SSH models
• General Theory of Momentum-Space Nonsymmorphic Symmetry
• Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
• Nonanalyticity of circuit complexity across topological phase transitions
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• i-Josephson Junction as Topological Superconductor
• Competing Vortex Topologies in Iron-based Superconductors
• Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
• Electronic correlations in the van der Waals ferromagnet Fe${}_3$GeTe${}_2$ revealed by its charge dynamics
• Direct dynamical characterization of higher-order topological insulators with nested band inversion surfaces
• Topological features of ground states and topological solitons in generalized Su-Schrieffer-Heeger models using generalized time-reversal, particle-hole, and chiral symmetries
• Revealing Topology in Metals using Experimental Protocols Inspired by $K$-Theory
• Wave-function geometry of band crossing points in two-dimensions
• Topological characterization and stability of Floquet Majorana modes in Rashba nanowire
• Spin-orbit coupling and topological phases for ultracold atoms
• Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension
• Topological entanglement properties of disconnected partitions in the Su-Schrieffer-Heeger model
• Index theorem on chiral Landau bands for topological fermions
• Quantum dynamical characterization and simulation of topological phases with high-order band inversion surfaces
• Unconventional superconductivity in altermagnets with spin-orbit coupling
• Topological edge solitons and their stability in a nonlinear Su-Schrieffer-Heeger model
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Topological holographic quench dynamics in a synthetic dimension
• Generalized Triple-Component Fermions: Lattice Model, Fermi arcs, and Anomalous Transport
• Symmetry-enforced topological band crossings in orthorhombic crystals: Classification and materials discovery
• Long-range hopping and indexing assumption in one-dimensional topological insulators
• Direct Geometric Probe of Singularities in Band Structure
• Topological continuum charges of acoustic phonons in 2D
• Floquet engineering of individual band gaps in an optical lattice using a two-tone drive
• Topology of multipartite non-Hermitian one-dimensional systems
• Fractionalization and topology in amorphous electronic solids
• Topological dynamics of gyroscopic and Floquet lattices from Newton's laws
• Kramers nodal lines and Weyl fermions in SmAlSi
• Quantized charge polarization as a many-body invariant in (2+1)D crystalline topological states and Hofstadter butterflies
• Circular Dichroism and Radial Hall Effects in Topological Materials
• Bott periodicity for the topological classification of gapped states of matter with reflection symmetry
• Photocurrent induced by a bicircular light drive in centrosymmetric systems
• Majorana multipole response of topological superconductors
• Efficient algorithm to compute the second Chern number in four dimensional systems
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Semi-Dirac and Weyl Fermions in Transition Metal Oxides
• Orbital embedding and topology of one-dimensional two-band insulators
• Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors
• Euler Obstructed Cooper Pairing: Nodal Superconductivity and Hinge Majorana Zero Modes
• Irradiated three-dimensional Luttinger semimetal: A factory for engineering Weyl semimetals
• Anisotropic magnetic responses of topological crystalline superconductors
• Stability of Time-Reversal Symmetry Protected Topological Phases
• Disorder-enhanced topological protection and universal quantum criticality in a spin-3/2 topological superconductor
• Exact edge, bulk and bound states of finite topological systems
• Topological and conventional phases of a three dimensional electron glass
• Topological Random Fractals
• Double Dirac Nodal Line Semimetal with Torus Surface State
• Nearly triple nodal point topological phase in half-metallic GdN
• Noncrystalline topological superconductors
• Topology and symmetry of circular photogalvanic effect in the chiral multifold semimetals: a review
• Realization of a one-dimensional topological insulator in ultrathin germanene nanoribbons
• Fractional charges in conventional sequential electron tunneling
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain
• Distinguishing between Topological and Quasi Majorana Zero Modes with a Dissipative Resonant Level
• Engineering exotic second-order topological semimetals by periodic driving
• Axial anomaly in multi-Weyl and triple-point semimetals
• Lattice symmetries and the topological protected transport of colloidal particles
• Effective hydrodynamic field theory and condensation picture of topological insulators
• Multiple magnetism controlled topological states in EuAgAs
• Symmetry-enforced band crossings in trigonal materials: Accordion states and Weyl nodal lines
• Ultrathin Films of Superconducting Metals as a Platform for Topological Superconductivity
• Nodal Andreev Spectra in Multi-Majorana Three-Terminal Josephson Junctions
• Dirty higher-order Dirac semimetal: Quantum criticality and bulk-boundary correspondence
• Electronic properties of SnTe-class topological crystalline insulator materials
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• Symmetry-enforced Band Nodes in 230 Space Groups
• Uhlmann number in translational invariant systems
• Disorder driven multifractality transition in Weyl nodal loops
• One-dimensional topological metal
• Fermionic quantum cellular automata and generalized matrix product unitaries
• Majorana bound states in hybrid 2D Josephson junctions with ferromagnetic insulators
• Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction
• Study of the phase diagram of the Kitaev-Hubbard chain
• Unification of topological invariants in Dirac models
• Absence of equilibrium edge currents in theoretical models of topological insulators
• Chiral Hall effect in strained Weyl semimetals
• Topological Vortex Phase Transitions in Iron-Based Superconductors
• Thermoelectric performance of topological boundary modes
• Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
• Dirac-Harper Theory for One Dimensional Moiré Superlattices
• Detecting and stabilizing measurement-induced symmetry-protected topological phases in generalized cluster models
• Polarization and entanglement spectrum in non-hermitian systems
• Edge insulating topological phases in a two-dimensional long-range superconductor
• Mechanism for unconventional superconductivity in the hole-doped Rashba-Hubbard model
• Cooper-pair transistor as a minimal topological quantum circuit
• Nature of Protected Zero Energy States in Penrose Quasicrystals
• Non-Abelian Hopf-Euler insulators
• Symmetries as the guiding principle for flattening bands of Dirac fermions
• Quantum dynamics on a lossy non-Hermitian lattice
• Universality and stability of the edge states of chiral-symmetric topological semimetals and surface states of the Luttinger semimetal
• Realizing the Harper model with Ultracold Atoms in a Ring Lattice
• Topological elasticity of non-orientable ribbons
• Nodal Semimetals: A Survey on Optical Conductivity
• Correlated triple-Weyl semimetals with Coulomb interactions
• Topological invariants based on generalized position operators and application to the interacting Rice-Mele model
• Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
• Systematic Quantum Cluster Typical Medium Method For the Study of Localization in Strongly Disordered Electronic Systems
• Origin of band flatness and constraints of higher Chern numbers
• Long-Range Free Fermions: Lieb-Robinson Bound, Clustering Properties, and Topological Phases
• Extracting quantum-geometric effects from Ginzburg-Landau theory in a multiband Hubbard model
• Double-bowl State in photonic Dirac nodal line semimetal
• Topological quantization of energy transport in micro- and nano-mechanical lattices
• Simulation of higher-order topological phases in 2D spin-phononic crystal networks
• Persistence of Topological Phases in Non-Hermitian Quantum Walks
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Second-order topological corner states in zigzag graphene nanoflake with different types of edge magnetic configurations
• Landau Levels of the Euler Class Topology
• Disorder driven phase transitions in weak AIII topological insulators
• Dissipative topological systems
• Four-dimensional topological lattices through connectivity
• Embedded Topological Insulators
• Finite-temperature topological phase transitions of spin-$j$ systems in Uhlmann processes: General formalism and experimental protocols
• Topological spin ordering via Chern-Simons superconductivity
• Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice
• ${\mathbb{Z}}_2$ topological quantum paramagnet on a honeycomb bilayer
• Topology, edge states, and zero-energy states of ultracold atoms in 1D optical superlattices with alternating onsite potentials or hopping coefficients
• Beyond the Berry Phase: Extrinsic Geometry of Quantum States
• Corner- and sublattice-sensitive Majorana zero modes on the kagome lattice
• Multiple band-crossings and Fermi surface topology: role of double nonsymmorphic symmetries in MnP-type crystal structures
• Topological classification of Higher-order topological phases with nested band inversion surfaces
• The Krein-Schrödinger Formalism of Bosonic BdG and Certain Classical Systems and Their Topological Classification
• Reversible Non-Volatile Electronic Switching in a Near Room Temperature van der Waals Ferromagnet
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Protected generation of dissipative Kerr solitons in supermodes of coupled optical microresonators
• Matrix product states for Hartree-Fock-Bogoliubov wave functions
• Vacancy-Engineered Flat-Band Superconductivity in Holey Graphene
• Longitudinal magnetoconductance and the planar Hall effect in a lattice model of tilted Weyl fermions
• Topological phase transitions at finite temperature
• Topological d+s wave superconductors in a multi-orbital quadratic band touching system
• Many-Body Invariants for Chern and Chiral Hinge Insulators
• Absence of topological protection of the interface states in ${\mathbb{Z}}_2$ photonic crystals
• Robustness of topological order against disorder
• Nodal-line semimetals from Weyl superlattices
• Induced superconductivity in Fermi arcs
• A diagnosis scheme for topological degeneracies at high-symmetry momenta
• Detecting Majorana Zero Modes via Strong Field Dynamics
• Realizing the Haldane Phase with Bosons in Optical Lattices
• Klein-bottle quadrupole insulators and Dirac semimetals
• Topological marker approach to an interacting Su-Schrieffer-Heeger model
• Charge-spin response and collective excitations in Weyl semimetals
• Average Symmetry Protected Higher-order Topological Amorphous Insulators
• Symmetry, nodal structure, and Bogoliubov Fermi surfaces for nonlocal pairing
• Spin Chern number in altermagnets
• Non-Hermitian Topology in Hermitian Topological Matter
• Topological zero modes and edge symmetries of metastable Markovian bosonic systems
• Sublattice-enriched tunability of bound states in second-order topological insulators and superconductors
• Non-perturbative constraints from symmetry and chirality on Majorana zero modes and defect quantum numbers in (2+1)D
• Bulk Bogoliubov Fermi arcs in non-Hermitian superconducting systems
• Nature of visons in the perturbed ferromagnetic and antiferromagnetic Kitaev honeycomb models
• Floquet quadrupole photonic crystals protected by space-time symmetry
• Signatures of merging Dirac points in optics and transport
• Strain engineered higher order topological phases for spin-3/2 Luttinger fermions
• Pairing symmetry and topological surface state in iron-chalcogenide superconductors
• Robustness of the pumping charge to dynamic disorder
• Topological properties of multilayers and surface steps in the SnTe material class
• Majorana-Hubbard model on the honeycomb lattice
• Unwinding Short-Range Entanglement
• Topological quantum paramagnet in a quantum spin ladder
• Quantum phases of disordered three-dimensional Majorana-Weyl fermions
• Topological phase in $1D$ topological Kondo insulator: $Z_2$ topological insulator, Haldane-like phase and Kondo breakdown
• Topological Majorana Two-Channel Kondo Effect
• Topological phases in odd-legs frustrated synthetic ladders
• Emergent vortex Majorana zero mode in iron-based superconductors
• Interacting Topological Quantum Chemistry in 2D: Many-body Real Space Invariants
• Josephson Diode Effect in Topological Superconductor
• Dynamic process and Uhlmann process: Incompatibility and dynamic phase of mixed quantum states
• Probing topology in nonlinear topological materials using numerical $K$-theory
• Topological nodal lines and hybrid Weyl nodes in YCoC${}_2$
• Mirror-symmetry-protected dynamical quantum phase transitions in topological crystalline insulators
• Machine learning non-Hermitian topological phases
• Non-linear dynamics of the non-Hermitian Su-Schrieffer-Heeger model
• Degeneracies and symmetry breaking in pseudo-Hermitian matrices
• Magnetoelectrically-Tunable Andreev-Bound-State Spectra and Spin Polarization in P-Wave Josephson Junctions
• Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
• Quantum Hall states for Rydberg atoms with laser-assisted dipole-dipole interactions
• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• Universal topological quench dynamics: Altland-Zirnbauer tenfold classes
• Quench dynamics and scaling laws in topological nodal loop semimetals
• Realization of a double-slit SQUID geometry by Fermi arc surface states in a WTe${}_2$ Weyl semimetal
• Higher-order Klein bottle topological insulator in three-dimensional acoustic crystals
• Exposing the quantum geometry of spin-orbit coupled Fermi superfluids
• Preparing Atomic Topological Quantum Matter by Adiabatic Nonunitary Dynamics
• Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
• Resilience of Majorana Fermions in the face of Disorder
• Transverse thermopower in Dirac and Weyl semimetals
• Coupled wire construction of a topological phase with chiral tricritical Ising edge modes
• Emergent topology under slow non-adiabatic quantum dynamics
• Topological Crystalline Insulators with $C_2$ Rotation Anomaly
• Disorder and interaction in chiral chains: Majoranas vs complex fermions
• Encyclopedia of emergent particles in 528 magnetic layer groups and 394 magnetic rod groups
• Paradoxical extension of the edge states across the topological phase transition due to emergent approximate chiral symmetry in a quantum anomalous Hall system
• Counter-propagating edge states in Floquet topological insulating phases
• Symmetry-Preserving Quadratic Lindbladian and Dissipation Driven Topological Transitions in Gaussian States
• Multiple Topological Electronic Phases in Superconductor MoC
• High-pressure phases of Weyl semimetals NbP, NbAs, TaP and TaAs
• Type-II topological metals
• Free and Interacting Short-Range Entangled Phases of Fermions: Beyond the Ten-Fold Way
• Topological Gapless Phases in Non-Symmorphic Antiferromagnets
• Topological Superconductivity from Unconventional Band Degeneracy with Conventional Pairing
• From Dirac semimetals to topological phases in three dimensions: a coupled wire construction
• Quantum Spin Hall Effect in Twisted Bilayer Graphene
• Interacting second-order topological insulators in one-dimensional fermions with correlated hopping
• Synthetic Flux Attachment
• Bosonic Crystalline Symmetry Protected Topological Phases Beyond the Group Cohomology Proposal
• Parity of Chern numbers in the Kitaev honeycomb model and the sixteenfold way
• Extended Creutz ladder with spin-orbit coupling: a one-dimensional analog of the Kane-Mele model
• Phase transitions and scale invariance in topological Anderson insulators
• Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly
• Weyl points and topological nodal superfluids in a face-centered cubic optical lattice
• Different models of gravitating Dirac fermions in optical lattices
• Superfluid weight in the isolated band limit within the generalized random phase approximation
• Chirality flip of Weyl nodes and its manifestation in strained MoTe${}_2$
• Non-hermitian topology in multiterminal superconducting junctions
• Edge mode manipulation through commensurate multifrequency driving
• Signatures of dephasing by mirror-symmetry breaking in weak-antilocalization magnetoresistance across the topological transition in Pb${}_{1-x}$Sn${}_x$Se
• Topological pumping assisted by Bloch oscillations
• Unwinding Fermionic SPT Phases: Supersymmetry Extension
• Anisotropic Topological Anderson Transitions in Chiral Symmetry Classes
• Theory of electron spin resonance in one-dimensional topological insulators with spin-orbit couplings
• Time-reversal symmetric topological metal
• Composite Dirac Semimetal
• Optimized micromagnet geometries for Majorana zero modes in low g-factor materials
• Anomalous Hall transport in tilted multi-Weyl semimetals
• Topology and zero energy edge states in carbon nanotubes with superconducting pairing
• Magnetoresistance of a three-dimensional Dirac gas
• Spontaneous symmetry breaking from anyon condensation
• ${\mathbb{Z}}_2$ Spin Hopf Insulator: Helical Hinge States and Returning Thouless Pump
• Non-Abelian Braiding of Topological Edge Bands
• Multivalued current-phase relationship in a.c. Josephson effect for a three-dimensional Weyl semimetal WTe${}_2$
• Higher-order Weyl superconductors with anisotropic Weyl-point connectivity
• Chern numbers of topological phonon band crossing determined with inelastic neutron scattering
• Topological hinge modes in Dirac semimetals
• Thermal Uhlmann Chern number from the Uhlmann connection for extracting topological properties of mixed states
• Floquet engineering of electric polarization with two-frequency drive
• Engineering anomalous Floquet Majorana modes and their time evolution in helical Shiba chain
• Topological spin phases of trapped Rydberg excitons in Cu${}_2$O
• Topological properties of a generalized spin-orbit-coupled Su-Schrieffer-Heeger model
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Optically induced topological states on the surface of mercury telluride
• Boundary edge networks induced by bulk topology
• Weyl nodal point-line Fermion in ferromagnetic Eu${}_5$Bi${}_3$
• ${\mathbb{Z}}_n$ solitons in intertwined topological phases
• Investigating global and topological order of states by local measurement and classical communication: Study on SPT phase diagrams by quantum energy teleportation
• Enhanced topological protection in planar quasi-one-dimensional channels with periodically-modulated width
• Topological properties of two-dimensional photonic square lattice without $C_4$ and $M_{x(y)}$ symmetries
• Topological Aspect of Graphene Patchwork with Regular Arrays of Nano Holes
• Impact of topology on the impurity effects in extended $s$-wave superconductors with spin-orbit coupling
• Floquet Topological Polaritons in Semiconductor Microcavities
• Exact Mobility edges and topological Anderson insulating phase in a slowly varying quasiperiodic model
• Majorana zero modes induced by superconducting phase bias
• Competition of non-Hermitian skin effect and topological localization of corner states observed in circuits
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Predicting Large-Chern-Number Phases in a Shaken Optical Dice Lattice
• Floquet states and optical conductivity of an irradiated two dimensional topological insulator
• Second-order topological modes in two-dimensional continuous media
• Topologically nontrivial phases in superconducting transition metal carbides
• Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder
• Interaction-enhanced integer quantum Hall effect in disordered systems
• Topological characterization of one-dimensional open fermionic systems
• Universal finite-size amplitude and anomalous entanglement entropy of $z=2$ quantum Lifshitz criticalities in topological chains
• New types of topological superconductors under local magnetic symmetries
• Magneto-transport and Shubnikov-de Haas oscillations in the layered ternary telluride Ta3SiTe6 topological semimetal
• Nonlinear Landauer formula: Nonlinear response theory of disordered and topological materials
• Generalized Lieb-Schultz-Mattis theorem on bosonic symmetry protected topological phases
• Cross-dimensional universality classes in static and periodically driven Kitaev models
• Tunable skyrmion-skyrmion binding on the surface of a topological insulator
• Three-dimensional $\mathcal{P}\mathcal{T}$-symmetric topological phases with Pontryagin index
• Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Symmetry-protected metallic and topological phases in penta-materials
• Spectrum-wide quantum criticality at the surface of class AIII topological phases: An "energy stack" of integer quantum Hall plateau transitions
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Shedding light on topological superconductors
• Fate of Quantum Anomalous Hall Effect in the Presence of External Magnetic Fields and Particle-Hole Asymmetry
• Complete crystalline topological invariants from partial rotations in (2+1)D invertible fermionic states and Hofstadter's butterfly
• Topological phases in pyrochlore thallium niobate Tl${}_2$Nb${}_2$O${}_{6+x}$
• Hybrid-order topological odd-parity superconductors via Floquet engineering
• Highly Tunable Spin-Orbit Torque and Anisotropic Magnetoresistance in a Topological Insulator Thin Film Attached to Ferromagnetic Layer
• Magnetic susceptibility of topological semimetals
• Topological Crystalline Magnets: Symmetry-Protected Topological Phases of Fermions
• Probing Fermi sea topology by Andreev state transport
• Analytic approach to quantum metric and optical conductivity in Dirac models with parabolic mass in arbitrary dimensions
• Topology of critical chiral phases: multiband insulators and superconductors
• A geometry-induced topological phase transition in random graphs
• The Schrödinger Formalism of Electromagnetism and Other Classical Waves --- How to Make Quantum-Wave Analogies Rigorous
• A non-Abelian twist to integer quantum Hall states
• Interferometry of non-Abelian band singularities and Euler class topology
• Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling
• A topological mechanism for robust and efficient global oscillations in biological networks
• Extrinsic and Intrinsic Nonlinear Hall Effects across Berry-Dipole Transitions
• Field theory of non-Hermitian disordered systems
• Generalization of spectral bulk-boundary correspondence
• Magnetic skyrmion crystal at a topological insulator surface
• Local geometry and quantum geometric tensor of mixed states
• Third-order charge transport in a magnetic topological semimetal
• Multiversality and Unnecessary Criticality in One Dimension
• Tight-binding Piezoelectric Theory and Electromechanical Coupling Correlations for Transition Metal Dichalcogenide Monolayers
• Giant anomalous thermal Hall effect in tilted type-I magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrödinger equation
• Topological insulation in a ladder model with particle-hole and reflection symmetries
• Catalog of noninteracting tight-binding models with two energy bands in one dimension
• Quantum Interference of Hydrodynamic Modes in a Dirty Marginal Fermi Liquid
• Generalization of Benalcazar-Bernevig-Hughes model to arbitrary dimensions
• Cooper pairing, flat-band superconductivity and quantum geometry in the pyrochlore-Hubbard model
• Stabilization of Hubbard-Thouless pumps through nonlocal fermionic repulsion
• Platform for nodal topological superconductors in monolayer molybdenum dichalcogenides
• Engineering topologically protected zero-dimensional interface end states in antiferromagnetic heterojunction graphene nanoflakes
• Sublattice-sensitive Majorana Modes
• Criticality Across the Energy Spectrum from Random, Artificial Gravitational Lensing in Two-Dimensional Dirac Superconductors
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• Topological protection of Majorana polaritons in a cavity
• Topological Phase Transitions in Line-nodal Superconductors
• Observation of topological prethermal strong zero modes
• From Atomic Semimetal to Topological Nontrivial Insulator
• Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$
• Topological phase transitions of Thouless charge pumping realized in helical organic molecules with long-range hoppings
• Topological states in disordered arrays of dielectric nanoparticles
• Helical Majorana edge mode in a superconducting antiferromagnetic quantum spin Hall insulator
• From orbifolding conformal field theories to gauging topological phases
• The General Principle behind Magnetization-induced Second-Order Topological Corner States in the Kane-Mele Model
• Topological invariants for interacting systems: from twisted boundary condition to center-of-mass momentum
• Colloquium: Synthetic quantum matter in non-standard geometries
• Characterization and classification of interacting (2+1)D topological crystalline insulators with orientation-preserving wallpaper groups
• Optical $N$-insulators: topological obstructions in the atomistic susceptibility tensor
• Fate of poor man's Majoranas in the long Kitaev chain limit
• Gauging (3+1)-dimensional topological phases: an approach from surface theories
• Universal Hall conductance scaling in non-Hermitian Chern insulators
• Real Hopf Insulator
• Fragility of surface states in non-Wigner Dyson topological insulators
• Conductance quantization in topological Josephson trijunctions
• Dynamically characterizing topological phases by high-order topological charges
• Mirror real Chern insulator in two and three dimensions
• Quantum criticality preempted by nematicity
• Topological charge pumping in quasiperiodic systems characterized by Bott index
• Disorder-induced topological quantum phase transitions in multi-gap Euler semimetals
• Surface field theories of point group symmetry protected topological phases
• Majorana multipole response: General theory and application to wallpaper groups
• Geometric description of the Kitaev honeycomb lattice model
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Unconventional Floquet topological phases from quantum engineering of band inversion surfaces
• Antiferromagnetic magnons from fractionalized excitations
• Majorana bound state engineering via efficient real-space parameter optimization
• Topological Classification of Excitations in Quadratic Bosonic Systems
• Robust zero modes in non-Hermitian systems without global symmetries
• Dynamical Phase Transitions in Topological Insulators
• Finite-size Topology
• Topological linear response of hyperbolic Chern insulators
• Nonsymmorphic chiral symmetry and solitons in the Rice-Mele model
• Hierarchical Majoranas in a Programmable Nanowire Network
• Topological nature of higher-order hinge states revealed by spin transport
• Quantum geometry of singlet superconductors
• Materials for Quantum Technologies: a Roadmap for Spin and Topology
• Topological nature of step edge states on the surface of topological crystalline insulator Pb${}_{0.7}$Sn${}_{0.3}$Se
• Anatomy of topological Anderson transitions
• Theoretical study of topological properties of ferromagnetic pyrite CoS${}_2$
• Bosonization of the interacting Su-Schrieffer-Heeger model
• Higher order topological matter and fractional chiral states
• Exciton-Polariton Topological Insulator with an Array of Magnetic Dots
• Chirality polarizations and spectral bulk-boundary correspondence
• Non-Abelian Aharonov-Bohm Caging in Photonic Lattices
• Engineering second-order nodal-line semimetals by breaking $\mathcal{P}\mathcal{T}$ symmetry and periodic driving
• Interaction-induced topological phase transition at finite temperature
• Braiding Topology of Non-Hermitian Open-Boundary Bands
• Relation between two-phase quantum walks and the topological invariant
• Higher-order topological semimetals and nodal superconductors with an order-two crystalline symmetry
• Effective field theories of topological crystalline insulators and topological crystals
• Symmetry-selective quasiparticle scattering and electric field tunability of the ZrSiS surface electronic structure
• Noncentrosymmetric compensated half-metal hosting pure spin Weyl nodes, triple nodal points, nodal loops, and nexus fermions
• Glide-symmetric topological crystalline insulator phase in a nonprimitive lattice
• Topological gauge theory for mixed Dirac stationary states in all dimensions
• Symmetry protected gapless $Z_2$ spin liquids
• Topological classification of intrinsic 3D superconductors using anomalous surface construction
• Thermodynamic transitions and topology of spin-triplet superconductivity: Application to UTe${}_2$
• Anyonic Topological Order in Twisted Equivariant Differential (TED) K-Theory
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Point-Gap Bound States in Non-Hermitian Systems
• Topological Devil's staircase in atomic two-leg ladders
• Multicriticality in a one-dimensional topological band insulator
• Dissipation-induced topological phase transition and periodic-driving-induced photonic topological state transfer in a small optomechanical lattice
• Anti-$\mathcal{P}\mathcal{T}$ flatbands
• Finite temperature geometric properties of the Kitaev honeycomb model
• Living on the edge: Topology, electrostatics and disorder
• Efficient verification of Affleck-Kennedy-Lieb-Tasaki states
• Effect of coordination on topological phases on self-similar structures
• Dielectric and optical markers originating from quantum geometry
• Stability of entanglement-spectrum crossing in quench dynamics of one dimensional gapped free-fermion systems
• Stability of the Weyl-semimetal phase on the pyrochlore lattice
• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• Shear viscosity as a probe of nodal topology
• Observation of topologically distinct corner states in "bearded" photonic Kagome lattices
• Edge currents as a probe of the strongly spin-polarized topological noncentrosymmetric superconductors
• Optical absorption measurement of spin Berry curvature and spin Chern marker
• Hund nodal line semimetals: The case of twisted magnetic phase in the double-exchange model
• Topological states on uneven (Pb,Sn)Se (001) surfaces
• Quantum transport in non-Hermitian impurity array
• Identifying gap-closings in open non-Hermitian systems by Biorthogonal Polarization
• Hidden zero modes and topology of multiband non-Hermitian systems
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Generalized Real-space Chern Number Formula and Entanglement Hamiltonian
• Transport Induced Dimer State from Topological Corner States
• Exact chiral spin liquid state in a Kitaev type spin model
• Plasmons in a two-dimensional nonsymmorphic nodal-line semimetal
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Nonsymmorphic nodal-line metals in the two-dimensional rare earth monochalcogenides MX (M = Sc, Y; X = S, Se, Te)
• Lorentz-boost-driven magneto-optics in a Dirac nodal-line semimetal
• Polariton vortex Chern insulator
• On weak Hopf symmetry and weak Hopf quantum double model
• Quantized Hall drift in a frequency-encoded photonic Chern insulator
• Hermitian Topologies originating from non-Hermitian braidings
• Replica Higher-Order Topology of Hofstadter Butterflies in Twisted Bilayer Graphene
• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• Drumhead surface states and their signatures in quasiparticle scattering interference
• Calculations of Chern number: equivalence of real-space and twisted-boundary-condition formulae
• Temperature-driven gapless topological insulator
• Quantization of topological indices in critical chains at low temperatures
• Higher angular momentum band inversions in two dimensions
• Link between \emph{Zitterbewegung} and topological phase transition
• On topological transitions in metals
• Perfect transmission and Aharanov-Bohm oscillations in topological insulator nanowires with nonuniform cross section
• Single branch of chiral Majorana modes from doubly degenerate Fermi surfaces
• Classification of the quantum chaos in colored Sachdev-Ye-Kitaev models
• Bulk-edge correspondence with generalized chiral symmetry
• Band geometry from position-momentum duality at topological band crossings
• Phase space methods for Majorana fermions
• Intra-unit-cell singlet pairing mediated by altermagnetic fluctuations
• Random-walk topological transition revealed via electron counting
• Structure, physical properties, and magnetically tunable topological phases in topological semimetal EuCuBi
• Monopole topological resonators
• Topological Anomalous Skin Effect in Weyl Superconductors
• Haldane Model at finite temperature
• Long-range nonstabilizerness and phases of matter
• Interplay between altermagnetism and topological superconductivity on an unconventional superconducting platform
• Examining the validity of the two-dimensional conical model to describe the three-dimensional ZrTe5
• Manipulating topological-insulator properties using quantum confinement
• Classification and surface anomaly of glide symmetry protected topological phases in three dimensions
• Interacting topological mirror excitonic insulator in one dimension
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• One-way deficit and quantum phase transitions in $XY$ model and extended Ising model
• Curvature function renormalisation, topological phase transitions and multicriticality
• State-dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Three-dimensional Topological Insulators and Bosonization
• Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams
• Toward simulation of topological phenomenas with one-, two- and three-dimensional quantum walks
• Majorana orthogonal transformation and Majorana zero modes in free fermionic systems
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• Engineering Topological Phases Guided by Statistical and Machine Learning Methods
• Topological Protection and Control of Quantum Markovianity
• Phase Space Crystal Vibrations: Chiral Edge States with Preserved Time-reversal Symmetry
• Intertwined Weyl phases emergent from higher-order topology and unconventional Weyl fermions via crystalline symmetry
• Polaron in a $p+ip$ Fermi topological superfluid
• A $k\cdot p$ effective Hamiltonian generator
• Exact Solution to Haldane-BCS-Hubbard Model Along the Symmetric Lines: Interaction Induced Topological Phase Transition
• Real-space topological localizer index to fully characterize the dislocation skin effect
• Vortex structure and spectrum of atomic Fermi superfluid in a spherical bubble trap
• Generalized multifractality at metal-insulator transitions and in metallic phases of 2D disordered systems
• Zeros of Green Functions in Topological Insulators
• Detecting End-States of Topological Quantum Paramagnets via Spin Hall Noise Spectroscopy
• Linear Response in Topological Materials
• Gauging anomalous unitary operators
• Efficient Verification of Ground States of Frustration-Free Hamiltonians
• Sensitivity of quantum walks to boundary of two-dimensional lattices: approaches from the CGMV method and topological phases
• Topological domain wall states in a non-symmorphic chiral chain
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Two-Dimensional Higher-Order Topological Metals
• Spontaneous dipolar Bose-Einstein condensation on the surface of a cylinder
• Network model for higher-order topological phases
• Squeezing-induced Topological Gap Opening on Bosonic Bogoliubov Excitations
• Generic phase diagram for Weyl superconductivity in mirror-symmetric superconductors
• Visualization of electronic topology in ZrSiSe by scanning tunneling microscopy
• Gapped Dirac semimetal with mixed linear and parabolic dispersions
• Intrinsic dissipative Floquet superconductors beyond mean-field theory
• Field-sensitive dislocation bound states in two-dimensional $d$-wave altermagnets
• Spin Waves and Dirac Magnons in a Honeycomb Lattice Zig-zag Antiferromagnet BaNi2(AsO4)2
• Realizing and detecting Stiefel-Whitney insulators in an optical Raman lattice
• Translation symmetry-enriched toric code insulator
• Uhlmann phase of coherent states and the Uhlmann-Berry correspondence
• Beyond universal behavior in the one-dimensional chain with random nearest neighbor hopping
• From topological phase to Anderson localization in a two-dimensional quasiperiodic system
• Quantum quenches in driven-dissipative quadratic fermionic systems with parity-time symmetry
• Chiral topological metals with multiple types of quasiparticle fermions and large spin Hall effect in the SrGePt family materials
• Calculations of in-gap states of ferromagnetic spin chains on \textit{s}-wave wide-band superconductors
• On the K-theoretic classification of dynamically stable systems
• Geometric phases of mixed quantum states: A comparative study of interferometric and Uhlmann phases
• Inherited topological superconductivity in two-dimensional Dirac semimetals
• Topological effect on the Anderson transition in chiral symmetry classes
• Detecting topology through dynamics in interacting fermionic wires
• Non-local order parameters for states with topological electromagnetic response
• Topological Electromagnetic Effects and Higher Second Chern Numbers in Four-Dimensional Gapped Phases
• Time-reversal invariant finite-size topology
• Topological invariants beyond symmetry indicators: Boundary diagnostics for twofold rotationally symmetric superconductors
• Asymptotically exact photonic analogues of chiral symmetric topological tight-binding models
• Softening of Majorana edge states by long-range couplings
• Probing and harnessing photonic Fermi arc surface states using light-matter interactions
• Emergent phases in a compass chain with multisite interactions
• Wannier Topology and Quadrupole Moments for a generalized Benalcazar-Bernevig-Hughes Model
• Stacking-induced Chern insulator
• Dynamic generation of nonequilibrium superconducting states in Kitaev chain
• Mean-chiral displacement in coherently driven photonic lattices and its application to synthetic frequency dimensions
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Photoinduced anomalous Hall effect in the interacting Haldane model: targeting topological states with pump pulses
• Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals
• Dynamical Fragile Topology in Floquet Crystals
• Out of equilibrium chiral higher order topological insulator on a $\pi$-flux square lattice
• Unitary Symmetry-Protected Non-Abelian Statistics of Majorana Modes
• Anatomy of Z2 fluxes in anyon Fermi liquids and Bose condensates
• Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
• Planar Hall Plateau in Magnetic Weyl Semimetals
• Quantum geometrical properties of topological materials
• Scaling behavior in a multicritical one-dimensional topological insulator
• Topological Phase Transition in Quasi-One-Dimensional Bismuth Iodide Bi4I4
• Odd-Parity Spin-Triplet Superconductivity in Centrosymmetric Antiferromagnetic Metals
• Unconventional Majorana fermions on the surface of topological superconductors protected by rotational symmetry
• Two-dimensional Weyl nodal-line semimetal and antihelical edge states in a modified Kane-Mele model
• Topological Magnetoelectric Effect: Nonlinear Time-Reversal-Symmetric Response, Witten Effect, and Half-Integer Quantum Hall Effect
• Simulating Floquet topological phases in static systems
• Many-body localization of zero modes
• Quench dynamics of Hopf insulators
• Symmetry-Protected Topological Phase for Spin-Tensor-Momentum-Coupled Ultracold Atoms
• Anomalous geometric transport signatures of topological Euler class
• First principles study of topological phase in chains of $3d$ transition metals
• Topological skyrmion phases of matter
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• Topological Materials for Near-Field Radiative Heat Transfer
• Symmetry-Resolved Entanglement: General considerations, calculation from correlation functions, and bounds for symmetry-protected topological phases
• Generalized multifractality in 2D disordered systems of chiral symmetry classes
• Periodic Clifford symmetry algebras on flux lattices
• Magnetotransport properties of the new-type topological semimetal ZrTe
• Symmetry-protected topological phases in the SU(N) Heisenberg spin chain: a Majorana-fermion approach
• Sea of Majorana fermions from pseudo-scalar superconducting order in three dimensional Dirac materials
• Localized surfaces of three dimensional topological insulators
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• Non-Hermitian three-dimensional two-band Hopf insulator
• Quench dynamics of entanglement spectrum and topological superconducting phases in a long-range Hamiltonian
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Thermoelectric transport coefficients of a Dirac electron gas in high magnetic fields
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Quasi-One-Dimensional Higher-Order Topological Insulators
• Wannier band transitions in disordered $\pi$-flux ladders
• Correct Brillouin zone and electronic structure of BiPd
• Discovery of Ĉ${}_2$ rotation anomaly in topological crystalline insulator SrPb
• Driving Topological Phases by Spatially Inhomogeneous Pairing Centers
• Three dimensional two-band Floquet topological insulator with $Z_2$ index
• Detecting topological transitions in two dimensions by Hamiltonian evolution
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Finite temperature physics of $1D$ topological Kondo insulator: Stable Haldane phase, Emergent energy scale and Beyond
• $SU(3)$ Topological Insulators in the Honeycomb Lattice
• Magnetic wallpaper Dirac fermions and topological magnetic Dirac insulators
• Coalescing Majorana edge modes in non-Hermitian PT-symmetric Kitaev chain
• Majorana stripe order on the surface of a three-dimensional topological insulator
• Majorana-mediated thermoelectric transport in multiterminal junctions
• Classification of Weyl points and nodal lines based on magnetic point groups for spin-$\frac{1}{2}$ quasiparticles
• Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
• Disorder-induced topology in quench dynamics
• Chirality probe of twisted bilayer graphene in the linear transport regime
• Finite Temperature Entanglement Negativity of Fermionic Symmetry Protected Topological Phases and Quantum Critical Points in One Dimension
• Analysis of the unconventional chiral fermions in a non-centrosymmetric chiral crystal $\text{PtAl}$
• Flat bands and $Z_2$ topological phases in a non-Abelian kagome lattice
• Movable but not removable band degeneracies in a symmorphic crystal
• Revealing the spatial nature of sublattice symmetry
• Tunable interface states between Floquet-Weyl semimetals
• Observation of dynamical topology in 1D
• Uhlmann quench and geometric dynamic quantum phase transition of mixed states
• Topological phases of the interacting Su-Schrieffer-Heeger model: An analytical study
• A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
• Pseudo topological insulators
• Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism
• Model Hamiltonian for Altermagnetic Topological Insulators
• Defects in Graphene : A Topological Description
• Superconductivity from piezoelectric interactions in Weyl semimetals
• Hyperbolic lattices and two-dimensional Yang-Mills theory
• Electric field manipulation of surface states in topological semimetals
• Paired parton quantum Hall states: a coupled wire construction
• Dynamical topological excitations in parafermion chains
• Graphene with Rashba spin-orbit interaction and coupling to a magnetic layer: Electron states localized at the domain wall
• Rotational Symmetry Protected Edge and Corner States in Abelian topological phases
• Engineering Topological Models with a General-Purpose Symmetry-to-Hamiltonian Approach
• Universal finite size scaling around tricriticality between topologically ordered, SPT, and trivial phases
• Gapless higher-order topology and corner states in Floquet systems
• Diagnosing Topological Phase Transitions in 1D Superconductors using Berry Singularity Markers
• Pressure-Tuning Superconductivity in Noncentrosymmetric Topological Materials ZrRuAs
• Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models
• Exact diagonalization of cubic lattice models in commensurate Abelian magnetic fluxes and translational invariant non-Abelian potentials
• Interaction-driven first-order and higher-order topological superconductivity
• Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain
• Non-Hermitian semi-Dirac semi-metals
• Broken Symmetry in Ideal Chern Bands
• Higher-order topological insulators in a crisscross antiferromagnetic model
• Spin and charge transport in topological nodal-line semimetals
• Beyond the universal Dyson singularity for 1-D chains with hopping disorder
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• Nodal vacancy bound states and resonances in three-dimensional Weyl semimetals
• Trigonal warping induced terraced spin texture and nearly perfect spin polarization in graphene with Rashba effect
• Anomalous Floquet Phases. A resonance phenomena
• Pressure Effect on Band Inversion in AECd2As2
• AKLT-states as ZX-diagrams: diagrammatic reasoning for quantum states
• Wireless energy transfer in non-Hermitian quantum battery
• Magnetic field driven Lifshitz transition and one-dimensional Weyl nodes in three-dimensional pentatellurides
• Quantum time mirrors for general two-band systems
• Probing Chiral-Symmetric Higher-Order Topological Insulators with Multipole Winding Number
• Multiplicative Majorana zero-modes
• Fermionic criticality is shaped by Fermi surface topology: a case study of the Tomonaga-Luttinger liquid
• Hydrodynamics of topological Dirac semi-metals with chiral and ${\mathbb{Z}}_2$ anomalies
• Unveiling quantum phase transitions from traps in variational quantum algorithms
• Real-space effects of a quench in the Su-Schrieffer-Heeger model and elusive dynamical appearance of the topological edge states
• Topological Nontrivial Phase in Hexagonal Antiperovskites A3BiB (A=Ba,Sr; B=P,N)
• Topologically protected boundary discrete time crystal for a solvable model
• Stability of dynamical topology against dynamical noise in quantum quenches
• Robust Bulk States
• Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates
• Information Trapping by Topologically Protected Edge States: Scrambling and the Butterfly Velocity
• Higher-order topological superconductivity in monolayer WTe${}_2$ from repulsive interactions
• Superconductivity, generalized random phase approximation and linear scaling methods
• Magnetic tilting and emergent Majorana spin connection in topological superconductors
• Effect of incommensurate potential on nodal-link semimetals
• The tenfold way redux: Fermionic systems with $N$-body interactions
• Monopole versus spherical harmonic superconductors: Topological repulsion, coexistence and stability
• Reentrant topological phases and spin density wave induced by 1D moiré potentials
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• Hybrid Dispersion Dirac semimetal and Hybrid Weyl phases in Luttinger Semimetals: A dynamical approach
• Surface-dependent Majorana vortex phases in topological crystalline insulators
• Fractional topological insulator precursors in spin-orbit fermion ladders
• BaHgSn: A Dirac semimetal with surface hourglass fermions
• Edge state in AB-stacked bilayer graphene and its correspondence with SSH ladder
• 4D beyond-cohomology topological phase protected by $C_2$ symmetry and its boundary theories
• Topological phonons in arrays of ultracold dipolar particles
• Analytical and semianalytical tools to determine the topological character of Shiba chains
• Topological Insulators with Hybrid-order Boundary States
• Intrinsic-perturbation induced anomalous higher-order boundary states in non-Hermitian systems
• Type-II Dirac line node in strained Na3N
• Protocols for dynamically probing topological edge states and dimerization with fermionic atoms in optical potentials
• Observation of a flat and extended surface state in a topological semimetal
• Unveiling Higher-Order Topology via Polarized Topological Charges
• Topological Modes Protected by Chiral and Two-Fold Rotational Symmetry in a Spring-Mass Model with a Lieb Lattice Structure
• Implementing non-Abelian Hatano-Nelson model in electric circuits
• Probing the Topology of Fermionic Gaussian Mixed States with {U(1)} symmetry by Full Counting Statistics
• Rigidity of topological invariants to symmetry breakings
• Simulating Higher-Order Topological Insulators in Density Wave Insulators
• Spectral Signatures of Non-Trivial Topology in a Superconducting Circuit
• Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Pseudo-time-reversal-symmetry-protected topological Bogoliubov excitations of Bose-Einstein condensates in optical lattices
• Symmetry-Resolved Entanglement of $C_2$-symmetric Topological Insulators
• Transport in topological insulator nanowires
• Predicting topological materials: symmetry-based indicator theories and beyond
• Krein-unitary Schrieffer-Wolff transformation and band touchings in bosonic Bogoliubov-de Gennes and other Krein-Hermitian Hamiltonians
• Pivoting through the chiral-clock family
• Winding Number Statistics of a Parametric Chiral Unitary Random Matrix Ensemble
• Quantum-metric-induced giant and reversible nonreciprocal transport phenomena in chiral loop-current phases of kagome metals
• Spin Berry curvature of the Haldane model
• Extrinsic topology of Floquet anomalous boundary states in quantum walks
• Conductance suppression by nonmagnetic point defects in helical edge channels of two-dimensional topological insulators
• Topological gapless points in superconductors: From the viewpoint of symmetry
• Tunable mode entanglement: topological Su-Schrieffer-Heeger (SSH) chain with an embedded Aharonov-Bohm quantum ring
• Topological nodal superconducting phases and topological phase transition in the hyperhoneycomb lattice
• Defective Edge states and Anomalous Bulk-boundary Correspondence for Topological Insulators under Non-Hermitian Similarity Transformation
• Quantum geometry of bosonic Bogoliubov quasiparticles
• Braids and Higher-order Exceptional Points from the Interplay Between Lossy Defects and Topological Boundary States
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Generic theory of characterizing topological phases under quantum slow dynamics
• Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Determinants with Parametric Dependence
• 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
• Corner modes in non-Hermitian next-nearest-neighbor hopping model
• Scanning qubit probe of edge states in a topological insulator
• Diagnosis of topological nodal lines with nontrivial monopole charge in the presence of rotation symmetries
• Defect bulk-boundary correspondence of topological skyrmion phases of matter
• Topological charges of periodically kicked molecules
• Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors
• Competing topological phases in a non-Hermitian time-reversal symmetry-broken Bernevig-Hughes-Zhang model
• BerryEasy: A GPU enabled python package for diagnosis of nth-order and spin-resolved topology in the presence of fields and effects
• Finite SSH chains coupled to a two-level emitter: Hybridization of edge and emitter states
• Direct demonstration of bulk-boundary correspondence in higher-order topological superconductors with chiral symmetry
• Superconducting Order Parameters in Spin Space Groups: Methodology and Application
• Controllable simulation of topological phases and edge states with quantum walk
• Time-Reversal Soliton Pairs In Even Spin-Chern-Number Higher-Order Topological Insulators
• Quantum Berezinskii-Kosterltz-Thouless Transition for Topological Insulator
• On critical properties of Berry curvature in Kitaev honeycomb model
• Topological multiband s-wave superconductivity in coupled multifold fermions
• Topological superconductivity induced by a Kitaev spin liquid
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Topological Critical Materials of Ternary Compounds
• Topological gap solitons in a 1D non-Hermitian lattice
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• Takagi topological insulator with odd $\mathcal{P}\mathcal{T}$ pairs of corner states
• Chiral topological superconducting state with Chern number $\mathcal{C}=-2$ in Pb${}_3$Bi/Ge(111)
• On the Sign of Fermion-Mediated Interactions
• Symmetry analysis of transport properties in helical superconductor junctions
• Unsupervised interpretable learning of topological indices invariant under permutations of atomic bands
• Artificial magnetic field for synthetic quantum matter without dynamical modulation
• Magnon-mediated topological superconductivity in a quantum wire
• Quantum Liouville's theorem based on Haar measure
• Wannier center spectroscopy to identify boundary-obstructed topological insulators
• Topological quantum criticality from multiplicative topological phases
• Absence of metallicity and bias-dependent resistivity in low-carrier-density EuCd2As2
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Robust propagating in-gap modes due to spin-orbit domain walls in graphene
• Computing the ${\mathbb{Z}}_2$ Invariant in Two-Dimensional Strongly-Correlated Systems
• Universal Characterization of Quantum Many-Body States through Local Information
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
• Josephson current signature of Floquet Majorana and topological accidental zero modes in altermagnet heterostructures
• Supersymmetric Free Fermions and Bosons: Locality, Symmetry and Topology
• Chiral to helical Majorana fermion transition in a $p$-wave superconductor
• A topological classification of molecules and chemical reactions with a perplectic structure
• Spin-orbit-coupled superconductivity with spin-singlet non-unitary pairing
• Engineering rich two-dimensional higher-order topological phases by flux and periodic driving
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• An Interplay of Topology and Quantized Geometric Phase for two Different Symmetry-Class Hamiltonians
• Robust one-dimensionality at twin-grain-boundaries in MoSe${}_2$
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Quantum cluster approach to the topological invariants in correlated Chern insulators
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Topological Phases in Nodeless Tetragonal Superconductors
• Topological metals constructed by sliding quantum wire arrays
• Observation of 1D Fermi arc states in Weyl semimetal TaAs
• Energy polarization and energy pumping in Rice-Mele chains
• Experimental and first-principles studies of superconductivity in topological nodal line semimetal SnTaS${}_2$
• Entanglement in 3D Kitaev Spin Liquids
• Scattering theory of delicate topological insulators
• Topological Invariant for Multi-Band Non-hermitian Systems with Chiral Symmetry
• All hourglass bosonic excitations in the 1651 magnetic space groups and 528 magnetic layer groups
• Topological properties of non-centrosymmetric superconductors $T$Ir${}_2$B${}_2$ ($T$=Nb, Ta)
• Distinct Floquet topological classifications from color-decorated frequency lattices with space-time symmetries
• Anomalous Coherence Length of Majorana Zero Modes at Vortices in Superconducting Topological Insulators
• Tunable magnetic order in low-symmetry SeO${}_3$ ligand linked $T{M}_3$(SeO${}_3$)${}_3$H${}_2$O ($TM$ = Mn, Co and Ni) compounds
• Fubini-Study metric and topological properties of flat band electronic states: the case of an atomic chain with $s-p$ orbitals
• Tight lower bounds on the time it takes to generate a geometric phase
• Light-matter correlations in Quantum Floquet engineering of cavity quantum materials
• Simulation of Kitaev model using one-dimensional chain of superconducting qubits and environmental effect on topological states
• Interaction-Driven Topological Switch in a $P$-Band Honeycomb Lattice
• Directly Detecting the Edge Current in a $p_x+i{p}_y$ Topological Superfluid
• Crystal-symmetry-protected gapless vortex-line phases in superconducting Dirac semimetals
• Topological Kondo effect with spinful Majorana fermions
• Zero-dimensional topologically nontrivial state in a superconducting quantum dot
• Electrochemical transport in Dirac nodal-line semimetals
• Probing the topological character of superconductors via non-local Hanbury-Brown and Twiss correlations
• Weak topological insulating phases of hard-core-bosons on the honeycomb lattice
• Emergence of Topological Superconductivity in Doped Topological Dirac Semimetals under Symmetry-Lowering Lattice Distortions
• Non-Quantized Edge Channel Conductance and Zero Conductance Fluctuation in Non-Hermitian Chern Insulators
• Engineering of many-body Majorana states in a topological insulator/s-wave superconductor heterostructure
• Generalizations of Berry phase and differentiation of purified state and thermal vacuum of mixed states
• $Z_2$ Dirac points with topologically protected multihelicoid surface states
• Unconventional hybrid-order topological insulators
• Spin-orbit interaction and snake states in graphene $p$-$n$ junctions
• Emergence of Floquet edge states in the coupled Su-Schrieffer-Heeger model
• Ginzburg-Landau theory for unconventional surface superconductivity in PtBi${}_2$
• Exactly solvable spin chain models corresponding to BDI class of topological superconductors
• Exact weak bosonic zero modes in a spin/fermion chain
• Symmetry classification of typical quantum entanglement
• Geometric pumping and dephasing at topological phase transition
• Topological photon pumping in quantum optical systems
• Proxy ensemble geometric phase and proxy index of time-reversal invariant topological insulators at finite temperatures
• Observation of average topological phase in disordered Rydberg atom array
• Single-quasiparticle eigenstate thermalization
• Encyclopedia of emergent particles in three-dimensional crystals
• Projective symmetry determined topology in flux Su-Schrieffer-Heeger model
• Chiral Hinge Transport in Disordered Non-Hermitian Second-Order Topological Insulators
• Inverse Design of Winding Tuple for Non-Hermitian Topological Edge Modes
• Majorana Zero Modes in Nanowires with Combined Triangular and Hexagonal Geometry
• Ultrafast relaxation of acoustic and optical phonons in a topological nodal-line semimetal ZrSiS
• Topological state transfers in cavity-magnon system
• Nodal phases in non-Hermitian wallpaper crystals
• Entanglement and particle fluctuations of one-dimensional chiral topological insulators
• On the role of geometric phase in the dynamics of elastic waveguides
• Learning quantum dissipation by the neural ordinary differential equation
• Topological phase diagram of the disordered 2XY model in presence of generalized Dzyaloshinskii-Moriya Interaction
• Reentrant topological phases and entanglement scalings in moiré-modulated extended Su-Schrieffer-Heeger Model
• Kitaev Building-block Construction for Inversion-Protected Higher-order Topological Superconductors
• Synthetic Hall tube of interacting fermions
• Topological Degeneracy Induced by Twisting
• Quantum geometric tensor and the topological characterization of the extended Su-Schrieffer-Heeger model
• Non-Hermitian $C_{NH}=2$ Chern insulator protected by generalized rotational symmetry
• Spin Susceptibility of a J=3/2 Superconductor
• Quantum phase transitions and a disorder-based filter in a Floquet system
• Characterization of higher-order topological superconductors using Bott indices
• Measuring Hall voltage and Hall resistance in an atom-based quantum simulator
• Topological physics in quantum critical systems
• Invariance of topological indices under Hilbert space truncation
• Elementary models of 3D topological insulators with chiral symmetry
• Unveiling Correlated Two-dimensional Topological Insulators through Fermionic Tensor Network States -- Classification, Edge Theories and Variational Wavefunctions
• Topological Supersolidity of Dipolar Fermi Gases in a Spin-Dependent Optical Lattice
• Topology of Discrete Quantum Feedback Control
• Dual topological insulator with mirror symmetry protected helical edge states
• Coexisting Euler and Stiefel-Whitney Topological Phases in Elastic Metamaterials
• Floquet non-Abelian topological charges and edge states
• Chern-Simons theory and atypical Hall conductivity in the Varma phase
• The topological dynamics of continuum lattice grid structures
• Restoration of non-Hermitian bulk-boundary correspondence by counterbalancing skin effect
• Delocalization of topological surface states by diagonal disorder in nodal loop semimetals
• Adiabatic charge transport in extended SSH models
• Topological insulators on fractal lattices: A general principle of construction
• Luttinger liquid tensor network: sine versus tangent dispersion of massless Dirac fermions
• Supercurrent and Electromotive force generations by the Berry connection from many-body wave functions
• Majorana multipole response with magnetic point group symmetry
• Polarization textures in crystal supercells with topological bands
• Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii-Moriya interaction
• Sub-symmetry Protected Topology in Topological Insulators and Superconductors
• Three-dimensional time reversal invariant topological superconductivity in doped chiral topological semimetals
• Edge state behavior in a Su-Schrieffer-Heeger like model with periodically modulated hopping
• The cohomology invariant for class DIII topological insulators
• N-Band Photonic Hopf Insulators Based on 2D Microring Lattices
• Atiyah-Hirzebruch spectral sequence for topological insulators and superconductors: $E_2$ pages for 1651 magnetic space groups
• Parallel and anti-parallel helical surface states for topological semimetals
• Interacting Chern Insulator in Infinite Spatial Dimensions
• Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Parametric Determinants in the Orthogonal Case
• Two-atom-thin topological crystalline insulators lacking out of plane inversion symmetry
• Weyl superconductivity and quasiperiodic Majorana arcs in quasicrystals
• Impurity-driven transitions in frustrated quantum Ising ring
• Time-reversal invariant topological skyrmion phases
• Functional renormalization group approach to interacting three-dimensional Weyl semimetals
• Stability of Weyl node merging processes under symmetry constraints
• Majorana modes in trapped-ion system and their Floquet engineering
• Spectral Form Factors of Topological Phases
• Multiparticle quantum walk: a dynamical probe of topological many-body excitations
• Electric polarization and discrete shift from boundary and corner charge in crystalline Chern insulators
• Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. II. Topological classification
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Cutting off the non-Hermitian boundary from an anomalous Floquet topological insulator
• The One-dimensional Chiral Anomaly and its Disorder Response
• Flat-band full localization and symmetry-protected topological phase on bilayer lattice systems
• Finite-Entanglement Scaling of 2D Metals
• Repulsive Fermi gases in a two-dimensional lattice with non-Abelian gauge fields
• Haldane and Dimer phases in a frustrated spin chain: an exact groundstate and associated topological phase transition
• Magnetotransport in Al6Re
• Correlated Zak insulator in organic antiferromagnets
• Breakdown of Landau Fermi liquid theory: restrictions on the degrees of freedom of quantum electrons
• Topological states constructed by two different trivial quantum wires
• A new class of higher-order topological insulators that localize energy at arbitrary multiple sites
• Two-dimensional Paired Topological Superfluids of Rydberg Fermi Gases
• Higher-order topological superconductors characterized by Fermi level crossings
• Floquet Amorphous Topological Orders in a One-dimensional Rydberg Glass
• Topological classifications of quadratic bosonic excitations in closed and open systems with examples
• Emergence of the Unconventional Type-II Nambu-Goldstone Modes with Topological Origin in Bose Superfluids
• Dressed Majorana fermion in a hybrid nanowire
• Geometric phases of Topological Systems under Quench Process
• Accumulation of spin-polarized states of charge carriers and a spintronic battery
• Low-Frequency Divergence of Circular Photomagnetic Effect in Topological Semimetals
• Bound states and local topological phase diagram of classical impurity spins coupled to a Chern insulator
• A search for correlation-induced adiabatic paths between distinct topological insulators
• Observation of trapped fractional charge and topological states at disclination defects in higher-order topological insulators
• Hong-Ou-Mandel Interference in a temporal-average-inversion-symmetric chain
• Theory of topological defects and textures in two-dimensional quantum orders with spontaneous symmetry breaking
• Double Majorana Vortex Flat Bands in the Topological Dirac Superconductor
• Strain induced spin vortex and Majorana Kramer's pairs in doped topological insulators with nematic superconductivity
• Helical superconducting edge modes from pseudo-Landau levels in graphene
• Robust semi-Dirac points and unconventional topological phase transitions in doped superconducting Sr2IrO4 tunnel coupled to t2g electron systems
• Symmetry-enforced double Weyl points, multiband quantum geometry, and singular flat bands of doping-induced states at the Fermi level
• Fulde-Ferrell superfluids in spinless ultracold Fermi gases
• Inducing anisotropies in Dirac fermions by periodic driving
• Discriminant indicator with generalized rotational symmetry
• Diversified Ruderman-Kittel-Kasuya-Yosida Interactions in a Nonsymmorphic Crystal
• Dynamical generalization of Yetter's model based on a crossed module of discrete groups
• Fate of symmetry protected coherence in open quantum system
• Topological phases of amorphous matter
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Lifshitz transitions and Weyl semimetals from a topological superconductor with supercurrent flow
• Quantized thermal and spin transports of dirty planar topological superconductors
• Maximal distant entanglement in Kitaev tube
• Superconductor/normal-metal/superconductor junction of topological superconductors revisited: Fractional Josephson current, fermion parity, and oscillating wavefunctions
• Type-II topological phase transitions of topological skyrmion phases
• Unveiling Symmetry Instability induced by Topological Phase Transitions
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Boiling Quantum Vacuum: Thermal Subsystems from Ground-State Entanglement
• Observation of paramagnetic spin-degeneracy lifting in EuZn2Sb2
• Quasiparticle interference and spectral function of the UTe${}_2$ superconductive surface band
• $K$-theory classification of Wannier localizability and detachable topological boundary states
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Generating Weyl semimetals from alkali metals
• Topology and Spectrum in Measurement-Induced Phase Transitions
• Instability of Majorana states in Shiba chains due to leakage into a topological substrate
• Chiral topological states in Bose-Fermi mixtures
• Design of a room-temperature topological exciton-polariton laser in a ZnO/TiO${}_2$-photonic crystal slab
• Takagi Topological Insulator on the Honeycomb Lattice
• Electron-hole pairing of Fermi-arc surface states in a Weyl-semimetal bilayer
• Topological semimetal with coexisting nodal points and nodal lines
• Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach
• Hybrid symmetry class topological insulators
• Superconducting topological Dirac semimetals: $P6/m$-Si${}_6$ and $P6/m$-NaSi${}_6$
• Topological strings linking with quasi-particle exchange in superconducting Dirac semimetals
• Alternating quantum-emitter chains: Exceptional-point phase transition, edge state, and quantum walks
• Controlling the real-time dynamics of a spin coupled to the helical edge states of the Kane-Mele model
• Topological Chiral Edge States in a Synthetic Dimension of Atomic Trap States
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• Simulating a Chern Insulator with C = $\pm$2 on Synthetic Floquet Lattice
• Tunable symmetry-protected higher-order topological states with fermionic atoms in bilayer optical lattices
• Phase diagram of the interacting Haldane model with spin-dependent sublattice potentials
• Enhanced and stable spin Hall conductivity in a disordered time-reversal and inversion symmetry broken topological insulator thin film
• Topological phases of non-symmorphic crystals : Shastry-Sutherland lattice at integer filling
• A linear algebra-based approach to understanding the relation between the winding number and zero-energy edge states
• Instanton analysis for the spin quantum Hall symmetry class: Non-perturbative corrections to physical observables and generalized multifractal spectrum
• Continuous phase transition from a chiral spin state to collinear magnetic order in a zigzag chain with Kitaev interactions
• Floquet control of interactions and edge states in a programmable quantum simulator
• Quantum Sensing with Topological-Paired Bound States
• Topological phases in discrete stochastic systems
• Crystalline invariants of fractional Chern insulators
• Experimental realization of Majorana hinge and corner modes in intrinsic organic topological superconductor without magnetic field at room temperature
• Ever-present Majorana bound state in a generic one-dimensional superconductor with odd number of Fermi surfaces
• Dirac points merging and wandering in a model Chern insulator
• Topological extension including quantum jump
• Euler--Chern Correspondence via Topological Superconductivity
• Topological aspects in nonlinear optical frequency conversion
• Born approximation study of the strong disorder in magnetized surface states of topological insulator
• Spin wave effects in transport between a ferromagnet and a Weyl semimetal surface
• Higher first Chern numbers in one dimensional Bose-Fermi mixtures
• Controlling the direction of topological transport in a non-Hermitian time-reversal symmetric Floquet ladder
• Topological bosonic states on ribbons of honeycomb lattice
• Flat-band ferromagnetism in a correlated topological insulator on a honeycomb lattice
• Controllable suppression of Non-Hermitian skin effects
• Higher-Order Topological Systems and Their Sub-Symmetry-Protected Topology
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Electromagnetic coupling and transport in a topological insulator-graphene hetero-structure
• Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
• Probing the dichotomy between Yu-Shiba-Rusinov and Majorana bound states via conductance, quantum noise and ${\Delta }_T$ noise
• Quantum spin Hall effect in bilayer honeycomb lattices with C-type antiferromagnetic order
• Topological Superconductor from the Quantum Hall Phase: Effective Field Theory Description
• Nonlinear Optical Spectroscopy of Nodal-Line Semimetals
• Spin gauge theory, duality and fermion pairing
• Instability of QBC systems to Topological Anderson Insulating phases
• Signatures of surface Majorana modes in the magnetic response of topological superconductors
• Helical Topological Superconducting Pairing at Finite Excitation Energies
• Quantum-critical dynamics of a Josephson junction at the topological transition
• Symmetry-Protected Solitons and Bulk-Boundary Correspondence in Generalized Jackiw-Rebbi Models
• Method to preserve the chiral-symmetry protection of the zeroth Landau level on a two-dimensional lattice
• Instanton-Induced Supersymmetry Breaking in Topological Semimetals
• How spectrum-wide quantum criticality protects surface states of topological superconductors from Anderson localization: Quantum Hall plateau transitions (almost) all the way down
• Classical features, Anderson-Higgs mechanism, and unitarity in Lee-Wick pseudo-electrodynamics
• Mirror-protected Majorana zero modes in $f$-wave multilayer graphene superconductors
• The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device
• Higher-order topological phases for time-reversal-symmetry breaking superconductivity in UTe${}_2$
• Controlling topology through targeted composite symmetry manipulation in magnetic systems
• Manifestation of a topological gapless phase in a two-dimensional chiral symmetric system through Loschmidt echo
• Effective models for dense vortex lattices in the Kitaev honeycomb model
• Tensor Theory for Higher Dimensional Chern Insulators with Large Chern Numbers
• Conductance asymmetry in proximitized magnetic topological insulator junctions with Majorana modes
• Dissipative frequency converter: from Lindblad dynamics to non-Hermitian topology
• Quantum critical scaling of gapped phases in nodal-line semimetals
• Mirror-symmetry protected higher-order topological zero-frequency boundary and corner modes in Maxwell lattices
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• How to realize compact and non-compact localized states in disorder-free hypercube networks
• Characterizing topological pumping of charges in exactly solvable Rice-Mele chains of the non-Hermitian variety
• Anyonic quasiparticles of hardcore anyons
• One-dimensional ${\mathbb{Z}}_4$ topological superconductor
• Interacting Dirac fields in an expanding universe: dynamical condensates and particle production
• Geometric semimetals and their simulation in synthetic matter
• Band-center metal-insulator transition in bond-disordered graphene
• The Symmetry Principle in Condensed Matter Physics (I)
• Local symmetry groups for arbitrary wavevectors
• Semimetallic and semiconducting graphene-hBN multilayers with parallel or reverse stacking
• Hopf Semimetals
• Topological $d$-wave Superconductivity and Nodal Line-Arc Intersections in Weyl Semimetals
• Global and Local Topological Crystalline Markers for Rotation-Symmetric Insulators
• Brick Wall Quantum Circuits with Global Fermionic Symmetry
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• Gapless superconductivity and its real-space topology in quasicrystals
• Diagonal Entropy and Topological Phase Transitions in Extended Kitaev Chains
• Adiabatic pumping and transport in the Sierpinski-Hofstadter model
• Topological bosonic Bogoliubov excitations with sublattice symmetry
• Topology in the space-time scaling limit of quantum dynamics
• Generic reduction theory for Fermi sea topology in metallic systems
• Dissipation-driven topological phase transitions in open quantum systems independent of system Hamiltonian
• Time-reversal-invariant spin-orbit-coupled bilayer Bose-Einstein Condensates
• Higher bracket structure of density operators in Weyl fermion systems and topological insulators
• Robust quantisation of circular photogalvanic effect in multiplicative topological semimetals
• Charged magnons on the surface of a topological insulator
• Topology reconstruction for asymmetric systems by isomorphic mapping or perturbation approximation
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
• Exchangeless braiding of Majorana zero modes in weakly coupled Kitaev chains
• Multi-locational Majorana Zero Modes
• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
• Exploring Thouless Pumping in the Generalized Creutz Model: A Graphical Method and Modulation Schemes
• Hilbert band complexes and their applications
• Topological Landau Theory
• Topologically protected two-fluid edge states
• Phase Transition and Field Effect Topological Quantum Transistor made of monolayer MoS2
• Critical Behavior and Duality in Dimensionally Reduced Planar Chern-Simons Superconductors
• Classical correspondence of the exceptional points in the finite non-Hermitian system
• Topological Properties of Single-Particle States Decaying into a Continuum due to Interaction
• Hexagonal warping effect to Majorana zero modes at ends of superconducting vortex line in doped 3D strong topological insulators
• Absence of superconductivity in topological metal ScInAu${}_2$
• Universal distributions from non-Hermitian Perturbation of Zero-Modes
• Correlated second-order Dirac semimetals with Coulomb interactions
• Floquet-Engineering Weyl Points and Linked Fermi Arcs from Straight Nodal Lines
• Angular momentum of vortex-core Majorana zero modes
• Boundary topological insulators and superconductors of Altland-Zirnbauer tenfold classes
• Perfectly localized Majorana corner modes in fermionic lattices
• Topological charge excitations and Green's function zeros in paramagnetic Mott insulators
• Expansion dynamics of a cylindrical-shell-shaped strongly dipolar condensate
• Observation of Embedded Topology in a Trivial Bulk via Projective Crystal Symmetry
• Classifying the Dynamics of Architected Materials by Groupoid Methods
• Emergent topology in thin films of nodal line semimetals
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Degenerate Topological Edge States in Multimer Chains
• Artificial topological insulator realized in a two-terminal Josephson junction with Rashba spin-orbit interaction
• Direct observation of the surface superconducting gap in the topological superconductor candidate β-PdBi2
• Three-dimensional $\mathbb{Z}$ topological insulators without reflection symmetry
• Anisotropic differential conductance of a mixed parity superconductor/ferromagnet structure
• Time dependent electric transport in nodal-loop semimetals
• Modulating Hamiltonian Approach to Quantum Many-Body Systems and Crystalline Topological Phases Protected by Generalized Magnetic Translations
• Topological and fractal defect states in non-Hermitian lattices
• Zero modes of velocity field and topological invariant in quantum torus
• Anomalous Linear and Quadratic Nodeless Surface Dirac Cones in Three-Dimensional Dirac Semimetals
• Identification and properties of topological states in the bulk of quasicrystals
• Entanglement duality in spin-spin interactions
• Time-dependent driving and topological protection in the fractional Josephson effect
• Coherent transfer of topological domain walls
• Promising regimes for the observation of topological degeneracy in spin chains
• Fractons on the edge
• Correlation Induced Magnetic Topological Phases in Mixed-Valence Compound SmB6
• Quantum-anomalous-Hall current patterns and interference in thin slabs of chiral topological superconductors
• Spinless topological chirality from Umklapp scattering in twisted 3D structures
• Cubic Dirac Semimetals: General Theory and Application to Rare-Earth Magnets
• Robust nonequilibrium edge currents with and without band topology
• Emergent fractals in dirty topological crystals
• Topological insulators and geometry of vector bundles
• Detecting the topological winding of superconducting nodes via Local Density of States
• Revealing the topological nature of the bond order wave in a strongly correlated quantum system
• Berry curvature and quantum metric in copper-substituted lead phosphate apatite
• Arboreal Obstructed Atomic Insulating and Metallic Phases of Fermions
• Mixed-state geometric phases of coherent and squeezed spin states
• Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States
• Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology
• Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
• High-chirality and multiquaternion Weyl nodes in hexagonal ReO${}_3$
• Fractalized Metals
• Non-Hermitian Hopf insulators
• PT-symmetric Non-Hermitian Hopf Metal
• Artificial oxide heterostructures with non-trivial topology
• Topological Classification of One-Dimensional Chiral Symmetric Interfaces
• Classification of unitary operators by local generatability
• Fate of Quadratic Band Crossing under quasiperiodic modulation
• Visualizing topological transport
• On the Effects of Small Graph Perturbations in the MaxCut Problem by QAOA
• Dynamically Characterizing the Structures of Dirac Points via Wave Packets
• Real and imaginary edge states in stacked Floquet honeycomb lattices
• Topological phases protected by projective space-time inversion symmetry in alkaline-earth-metal-like atoms
• Symmetry and Topology of Monitored Quantum Dynamics
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
• Intrinsic Thermal Hall Effect in Mott Insulators
• Direct Observation of Strongly Tilted Dirac Points at General Positions in the Reciprocal Space
• Topological phases in interacting spin-1 systems
• Disclinations, dislocations, and emanant flux at Dirac criticality
• Real-space formulation of topology for disordered Rice-Mele chains without chiral symmetry
• Symmetry classification correspondence between quadratic Lindbladians and their steady states
• Extended Haldane model -- a modern gateway to topological insulators
• Impurity-induced Mott ring states and Mott zeros ring states in the Hubbard operator formalism
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Promoted current-induced spin polarization in inversion symmetry broken topological insulator thin films
• Quantum Hall Effect without Chern Bands
• Uhlmann and scalar Wilczek-Zee phases of degenerate quantum systems
• Non-adiabatic dynamics of the entanglement entropy in a symmetry-breaking Haldane insulator
• Topological Phase Transitions and Edge-State Transfer in Time-Multiplexed Quantum Walks
• Resonance-facilitated three-channel p-wave scattering
• Identifying Anyonic Topological Order in Fractional Quantum Anomalous Hall Systems
• Interfacial Line Energy of a Topological Phase
• Protected quantum gates using qubit doublons in dynamical optical lattices
• Floquet composite Dirac semimetals
• Topological band insulators without translational symmetry
• The Quadrupole Moment of Higher-Order Topological Insulator at Finite temperature
• Impact of multiband effects on non-Fermi-liquid transport phenomena in bilayer nickelates
• Theory of quantum spin-Hall topological lasers
• Non-Abelian interference of topological edge states
• Tunable Magnetic Order in Chiral Coupled Spin Chains
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Time-dependent Gutzwiller simulation of Floquet topological superconductivity
• Topological Phases in Non-Hermitian Nonlinear-Eigenvalue Systems
• Porous-B${}_{18}$: An Ideal Topological Semimetal with Symmetry-Enforced Orthogonal Nodal-Line and Nodal-Surface States
• A Study of Curvature Theory for Different Symmetry Classes of Hamiltonian
• Emergence of a new symmetry class for Bogoliubov-de Gennes (BdG) Hamiltonians: Expanding ten-fold symmetry classes
• Topological constraints on the electronic band structure of hexagonal lattice in a magnetic field
• Current switching behavior mediated via hinge modes in higher-order topological phases using altermagnets
• Regularized universal topological markers for Dirac systems
• Recent progress on disorder-induced topological phases
• Anisotropic marginal Fermi liquid for Coulomb interacting generalized Weyl fermions
• Scattering description of edge states in Aharonov-Bohm triangle chains
• Fermionic atoms in a spin-dependent optical lattice potential: topological insulators with broken time-reversal symmetry
• Impact of Boundary Conditions on the Double-Kicked Quantum Rotor
• Topological Charge Quadrupole Protected by Spin-Orbit U(1) Quasi-Symmetry in Antiferromagnet NdBiPt
• Physical properties of RhGe and CoGe single crystals synthesized under high pressure
• Localization and Topology in Noncentrosymmetric Superconductors with Disorder
• Unified Multipole Bott Indices for Non-Hermitian Skin Effect in Different Orders
• Anomalous gapped boundaries between surface topological orders in higher-order topological insulators and superconductors with inversion symmetry
• Topological Transitions in a Kerr Nonlinear Oscillator
• Preserving Topology while Breaking Chirality: From Chiral Orthogonal to Anti-symmetric Hermitian Ensemble
• Inversion-symmetric Electron Gases as New Platforms for Topological Planar Josephson Junctions
• Network model for magnetic higher-order topological phases
• Topological invariants in terms of Green's function for the interacting Kitaev chain
• Edge Solitons in a Nonlinear Mechanical Topological Insulator
• Nematic order in topological SYK models
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Critical behavior of Anderson transitions in higher dimensional Bogoliubov-de Gennes symmetry classes
• Connections between Weyl geometry, quantum potential and quantum entanglement
• Superconductivity in three-dimensional interacting doped topological insulators
• Classification of spin Hall effect in two-dimensional systems
• 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
• Universal Broadening of Zero Modes: A General Framework and Identification
• A ${\mathbb{Z}}_2$ invariant for chiral and particle-hole symmetric topological chains
• Correlation-driven non-trivial phases in single bi-layer Kagome intermetallics
• Disorder-induced instability of a Weyl nodal loop semimetal towards a diffusive topological metal with protected multifractal surface states
• Bloch and Bethe ansatze for the Harper model: A butterfly with a boundary
• Higher-Order Topology in Monolayer FeSe
• Unconventional superconductivity from electronic dipole fluctuations
• Topological invariant of velocity field in quantum systems
• Hidden wallpaper fermion and third-order topological insulator
• Quantum Degenerate Majorana Surface Zero Modes in Two-Dimensional Space
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles
• Structure and scaling of Kitaev chain across a quantum critical point in real space
• Fragile topological insulators protected by rotation symmetry without spin-orbit coupling
• Nuclear spin relaxation rate of nonunitary Dirac and Weyl superconductors
• Interaction between spin and Abrikosov vortices in doped topological insulators
• Spin-mixing-tunneling network model for Anderson transitions in two-dimensional disordered spinful electrons
• Helical boundary modes from synthetic spin in a plasmonic lattice
• Obstructed Atomic Insulators and Superfluids of Fermions Coupled to ${\mathbb{Z}}_2$ Gauge Fields
• Quantized charge transport in disordered Floquet topological insulators in the absence of Anderson localization
• Fractional ac Josephson effect as evidence of topological hinge states in a Dirac semimetal NiTe2
• Topology of Fermi Surfaces and anomaly inflows
• Topological quantum slinky motion in resonant extended Bose-Hubbard model
• Theory of Topological Superconductivity in Doped IV-VI Semiconductors
• Hyperfine Structure of Quantum Entanglement
• Spacetime symmetry indicators for two-dimensional Floquet topological insulators
• Emergent topological phases in an extended Su-Schrieffer-Heeger model with Rashba spin-orbit interaction, higher order hopping and domain wall
• Extended edge modes and disorder preservation of a symmetry-protected topological phase out of equilibrium
• Higher-order Topological Knots and the classification of non-Hermitian lattices under $C_n$ symmetry
• Systematic Construction of Interfaces and Anomalous Boundaries for Fermionic Symmetry-Protected Topological Phases
• Proof of bulk-edge correspondence for band topology by Toeplitz algebra
• Two-component atomic Fermi superfluid with spin-orbital coupling in thin spherical-shell geometry
• Immutable quantized transport in Floquet chains
• Semimetals without correspondence between the topological charge of nodal line/surface and Fermi arc
• Nodal-line semimetal superlattices
• Theory of Hofstadter Superconductors
• Topological Properties and Characterizations
• Comparison of finite-temperature topological indicators based on Uhlmann connection
• Nonlinearity-driven Topology via Spontaneous Symmetry Breaking
• Theory of classical electrodynamics with topologically quantized singularities as electric charges
• Symmetry-protected topological polarons
• Exploiting $\vartheta -$functions for the identification of topological materials
• Dynamical Symmetry Indicators for Floquet Crystals
• Superconductivity in multi-Weyl semimetals: Conditions for the coexistence of topological and conventional phases
• Quantum cluster kink and ring frustration
• Three-nodal surface phonons in solid-state materials: Theory and material realization
• Type-II Weyl Excitation in Vortex Arrays
• Exceptional Luttinger Liquids from sublattice dependent interaction
• Mixed-pairing superconductivity in 5d Mott insulators with antisymmetric exchange
• The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model
• Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response
• Embedding 1D BDI topological dynamics into continuous elastic plates
• Topological states of generalized dissipative Majorana wires
• Ultracold atomic lattice systems for simulating topological phases: A review
• Detection of 2D SPT Order with Partial Symmetries
• Numerical calculation of the $k$-space second Chern number in four dimensions
• Double-twisted surface spectrum from hybridized Majorana Kramers pairs and wallpaper fermions
• Bulk-boundary correspondence in topological two-dimensional non-Hermitian systems: Toeplitz operators and singular values
• Limits of Thermal Conductance Quantization in Chiral Topological Josephson Junctions
• Layer-number parity induced topological phase transition
• Topological Tenfold Classification and the Entanglement of Two Qubits
• Topological materials with extensive flat-band surface states
• Physical Pictures for Quasisymmetry in Crystals
• Disorder-Induced Topological Phases in a Two-Dimensional Chern Insulator with Strong Magnetic Disorder
• Revealing Spin and Spatial Symmetry Decoupling: New Insights into Magnetic Systems with Dzyaloshinskii-Moriya Interaction
• Non-Hermitian second-order topological insulator with point gap
• Electronic states at twist stacking faults in rhombohedral graphite
• Altermagnetism Induced Bogoliubov Fermi Surfaces Form Topological Superconductivity
• Topological superconductivity and superconducting diode effect mediated via unconventional magnet and Ising spin-orbit coupling
• Coupled-wire construction of non-Abelian higher-order topological phases
• Anomalous parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology
• Symmetry-enriched topological order and quasifractonic behavior in ${\mathbb{Z}}_N$ stabilizer codes
• Real-space formulation of the Chern invariant and topological phases in a disordered Chern insulator
• Topological bands in metals
• Quantum spin liquids in a square lattice subject to an Abelian flux
• Anomalous Landau levels and quantum oscillation in rotation-invariant insulators
• Higher-order topological quantum paramagnets
• Coupled electric dipole model for a Su-Schrieffer-Heeger chain of optically resonant coreshell nanoparticles
• Metal-insulator phase transition and topology in a three-component system
• Hopf symmetry protected topological phases in the vicinity of spin orders
• One-dimensional topology and topolectrics of nonsymmorphic Kramers degenerate systems
• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups
• Spectral statistics and energy-gap scaling in $k-$local spin Hamiltonians
• Continuum Landau surface states in a non-Hermitian Weyl semimetal
• Breakdown of the symmetry constraint in a Floquet topological insulator
• Chiral Spin Condensation in a One-Dimensional Optical Lattice
• Robust interface-state laser in non-Hermitian micro-resonator arrays
• Braiding Statistics of Vortices in $2+1$d Topological Superconductors from Stacking
• Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping
• Tunable multi-magnon Floquet topological edge states
• Towards a Topological Quantum Chemistry description of correlated systems: the case of the Hubbard diamond chain
• Magnetic orbital motion and 0.5$e^2/h$ conductance of quantum-anomalous-Hall hybrid strips
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors
• A study of topological characterization and symmetries for a quantum simulated Kitaev chain
• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter
• Large Chern numbers in a dissipative dice model
• Weak ${\mathbb{Z}}_2$ Supertopology
• Topological bound states in a lattice of rings with nearest-neighbour interactions
• Entanglement entropy as a probe of topological phase transitions
• Quasi-nodal lines in rhombohedral magnetic materials
• Dynamics of 2D topological quadrupole insulator and Chern insulator induced by real-space topological changes
• Defect engineering spin centers in interacting many-body Su-Schrieffer-Heeger chains
• Topological superconductivity in helical crystals
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Quantum dynamics in 1D lattice models with synthetic horizons
• Remarks on classical pseudo-electrodynamics
• Non-quadratic transverse magnetoresistance of the nodal line Dirac semimetal InBi
• Code CFTs and Topological Matter
• Realizing Majorana Kramers pairs in two-channel InAs-Al nanowires with highly misaligned electric fields
• One-dimensional interacting Su-Schrieffer-Heeger model at quarter filling: An exact diagonalization study
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation
• Symmetry-Based Real-Space Framework for Realizing Flat Bands and Unveiling Nodal-Line Touchings
• Hierarchical Topological States without Dimension Reduction
• Two dimensional sub-wavelength topological dark state lattices
• Majorana vortex phases in time-reversal invariant higher-order topological insulators and topologically trivial insulators
• Dimensional crossover of class D real-space topological invariants
• Quantized Berry winding from an emergent $\mathcal{P}\mathcal{T}$ symmetry
• Crystalline Weyl semimetal phase in Quantum Spin Hall systems under magnetic fields
• Effective potential of scalar Lee-Wick pseudo-electrodynamics
• Partons from stabilizer codes
• Quantum Geometry of Finite XY Chains: A Comparison of Neveu-Schwarz and Ramond Sectors
• Time-reversal symmetric topological superconductivity in Machida-Shibata lattices
• Winding Number Statistics for Chiral Random Matrices: Universal Correlations and Statistical Moments in the Unitary Case
• Josephson and persistent currents in a quantum ring between topological superconductors
• Entanglement entropy scaling laws from fluctuations of non-conserved quantities
• Emergence of Hermitian topology from non-Hermitian knots
• Universal localization-delocalization transition in chiral-symmetric Floquet drives
• The Lee-Wick-Chern-Simons pseudo-quantum electrodynamics
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Non-Hermitian Higher-Order Dirac Semimetals
• Supermetal-insulator transition in a non-Hermitian network model
• Discrete global symmetries and dynamics of emergent fermions
• Triply-degenerate point in three-dimensional spinless systems
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal
• A One-Dimensional Electron Gas Coupled to Light
• Non-linear sigma models for non-Hermitian random matrices in symmetry classes AI${}^{†}$ and AII${}^{†}$
• Topological Classification of Gapped/Gap-preserving Rational Space-Time Crystal Systems
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Trivial and Non-trivial Superconductivity in dsDNA
• Analytical solutions of topological surface states in a series of lattice models
• Phase Space Entanglement Spectrum
• Symmetry-protected topological wire in a topological vacuum
• Tunable Topological Phases in Quantum Kirigamis
• Proposal for realizing and probing topological crystalline insulators in optical lattices
• Asymmetric real topology of conduction and valence bands
• Geometric criterion of topological phase transition for non-Hermitian systems
• Coarse geometric approach to topological phases: Invariants from real-space representations
• Interferometric Geometric Phases of $\mathcal{P}\mathcal{T}$-symmetric Quantum Mechanics
• Analytic density of states of two-dimensional Chern insulator
• Non-Markovianity Benefits Quantum Dynamics Simulation
• Exact solutions for topological surface states of three-dimensional lattice models
• Hofstadter Butterflies in Topological Insulators
• The Non-collinear Path to Topological Superconductivity