Colloquium: Topological Band Theory

Abstract

The first-principles band theory paradigm has been a key player not only in the process of discovering new classes of topologically interesting materials, but also for identifying salient characteristics of topological states, enabling direct and sharpened confrontation between theory and experiment. We begin this review by discussing underpinnings of the topological band theory, which basically involves a layer of analysis and interpretation for assessing topological properties of band structures beyond the standard band theory construct. Methods for evaluating topological invariants are delineated, including crystals without inversion symmetry and interacting systems. The extent to which theoretically predicted properties and protections of topological states have been verified experimentally is discussed, including work on topological crystalline insulators, disorder/interaction driven topological insulators (TIs), topological superconductors, Weyl semimetal phases, and topological phase transitions. Successful strategies for new materials discovery process are outlined. A comprehensive survey of currently predicted 2D and 3D topological materials is provided. This includes binary, ternary and quaternary compounds, transition metal and f-electron materials, Weyl and 3D Dirac semimetals, complex oxides, organometallics, skutterudites and antiperovskites. Also included is the emerging area of 2D atomically thin films beyond graphene of various elements and their alloys, functional thin films, multilayer systems, and ultra-thin films of 3D TIs, all of which hold exciting promise of wide-ranging applications. We conclude by giving a perspective on research directions where further work will broadly benefit the topological materials field.

15 figures, Rev. Mod. Phys. (2016, in press)

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• Singular-phase nanooptics: towards label-free single molecule detection
• The development of ferromagnetism in the doped topological insulator Bi2-xMnxTe3
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
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• Organic Topological Insulators in Organometallic Lattices
• Emergent quantum confinement at topological insulator surfaces
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• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
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• Direct Evidence for the Dirac-Cone Topological Surface States in Ternary Chalcogenide TlBiSe2
• Topological Anderson Insulator in Three Dimensions
• Topological Surface States and Dirac point tuning in ternary Bi2Te2Se class of topological insulators
• Topological-Metal to Band-Insulator Transition in (Bi1-xInx)2Se3 Thin Films
• The magnetic and crystal structures of Sr2IrO4: A neutron diffraction study
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• Large-Gap Quantum Spin Hall Insulator in single layer bismuth monobromide Bi${}_4$Br${}_4$
• Dirac-point engineering and topological phase transitions in honeycomb optical lattices
• Quantum Hall Effect on Top and Bottom Surface States of Topological Insulator (Bi1-xSbx)2Te3 Films
• Quantum interference and Aharonov-Bohm oscillations in topological insulators
• Modulated Floquet Topological Insulators
• Hybridization, Inter-Ion Correlation, and Surface States in the Kondo Insulator SmB6
• Ultrafast helicity control of surface currents in topological insulators with near-unity fidelity
• Valley polarized quantum Hall effect and topological insulator phase transitions in silicene
• Tailoring Magnetic Doping in the Topological Insulator Bi2Se3
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• Evidence for a Spin Phase Transition at ν=0 in Bilayer Graphene
• Electrical detection of the spin polarization due to charge flow in the surface state of the topological insulator Bi_1.5 Sb_0.5 Te_1.7 Se_1.3
• Interplay between ferromagnetism, surface states, and quantum corrections in a magnetically doped topological insulator
• Three-Dimensional Topological Insulators in I-III-VI${}_2$ and II-IV-V${}_2$ Chalcopyrite Semiconductors
• Topological electronic structure and Weyl semimetal in the TlBiSe${}_2$ class of semiconductors
• Making Massless Dirac Fermions from Patterned Two-Dimensional Electron Gases
• Spin-Valley Optical Selection Rule and Strong Circular Dichroism in Silicene
• Tuning bulk and surface conduction in topological Kondo insulator SmB6
• Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators
• Non-sinusoidal current-phase relationship in Josephson junctions from the 3D topological insulator HgTe
• New Family of Robust 2D Topological Insulators in van der Waals Heterostructures
• Ultrafast photodoping and effective Fermi-Dirac distribution of the Dirac particles in Bi2Se3
• Collective modes and electromagnetic response of a chiral superconductor
• Topological Insulators in Ternary Compounds with a Honeycomb Lattice
• Intrinsic conduction through topological surface states of insulating Bi${}_2$Te${}_3$ epitaxial thin films
• Interaction Driven Subgap Spin Exciton in the Kondo Insulator SmB6
• Spatially resolved study of backscattering in the quantum spin Hall state
• Giant thermoelectric effect in graphene-based topological insulators with nanopores
• Synthesis of SnTe Nanoplates with {100} and {111} Surfaces
• Experimental Verification of Van Vleck Nature of Long-Range Ferromagnetic Order in Vanadium-Doped Three-Dimensional Topological Insulator Sb${}_2$Te${}_3$
• Edge and Interfacial States in a 2D Topological Insulator:Bi(111) Bilayer on Bi${}_2$Te${}_2$Se
• Creation of Helical Dirac Fermions by Interfacing Two Gapped Systems of Ordinary Fermions
• One-Dimensional Edge States with Giant Spin Splitting in a Bismuth Thin Film
• Superconducting properties of the In substituted Topological Crystalline Insulator, SnTe
• Topological insulating behaviour in conducting property of crystalline Ge-Sb-Te
• Observation of the Adler-Bell-Jackiw chiral anomaly in a Weyl semimetal
• Signatures of Dirac fermion-mediated magnetic order
• Tunable Giant Spin Hall Conductivities in a Strong Spin-Orbit Semimetal: Bi${}_{1-x}$Sb${}_x$
• Persistence of two-dimensional topological insulator state in wide HgTe quantum well
• Enhancing the stability of a fractional Chern insulator against competing phases
• Ambipolar Surface State Thermoelectric Power of Topological Insulator Bi2Se3
• Momentum resolved spin dynamics of bulk and surface excited states in the topological insulator $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{e}}_3$
• Multiband effects and the possible Dirac states in LaAgSb${}_2$
• Unoccupied Topological States on Bismuth Chalcogenides
• Terahertz Kerr and Reflectivity Measurements on the Topological Insulator Bi2Se3
• Thermoelectric transport in ${\text{Bi}}_2{\text{Te}}_3/{\text{Sb}}_2{\text{Te}}_3$ superlattices
• Topological states in multi-orbital HgTe honeycomb lattices
• Intermediate Coupling Model of the Cuprates
• Theoretical prediction of topological insulator in ternary rare earth chalcogenides
• A new superconductor derived from topological insulator heterostructure
• Topological tuning in three-dimensional Dirac semimetals
• Confinement-Deconfinement Transition as an Indication of Spin-Liquid-Type Behavior in Na${}_2$IrO${}_3$
• Singular robust room-temperature spin response from topological Dirac fermions
• Imaging two-component nature of Dirac-Landau levels in the topological surface state of Bi2Se3
• Non-Kondo-like Electronic Structure in the Correlated Rare-Earth Hexaboride YbB${}_6$
• A Fractionalized Quantum Spin Hall Effect
• Probing the Fermi Surface of 3D Dirac Semimetal Cd${}_3$As${}_2$ through de Haas-van Alphen Technique
• Dirac semimetals $A_{3}Bi$ ($A$=Na,K,Rb) as $Z_2$ Weyl semimetals
• Unconventional transformation of spin Dirac phase across a topological quantum phase transition
• Anomalous suppression of the superfluid density in the CuxBi2Se3 superconductor upon progressive Cu intercalation
• The momentum and photon energy dependence of the circular dichroic photoemission in the bulk Rashba semiconductors BiTeX (X = I, Br, Cl)
• An isolated Dirac cone on the surface of ternary tetradymite-like topological insulators
• Three-dimensional topological insulators: A review on host materials
• Anomalous Transport in Sketched Nanostructures at the LaAlO3/SrTiO3 Interface
• Large magnetothermopower and Fermi surface reconstruction in Sb${}_2$Te${}_2$Se
• Discovery of several large families of Topological Insulator classes with backscattering-suppressed spin-polarized single-Dirac-cone on the surface
• Magnetoelectric effects in superconducting nanowires with Rashba spin-orbit coupling
• Quantum Imaging of Topologically Unpaired Spin-Polarized Dirac Fermions
• Giant plateau in the THz Faraday angle in gated Bi2Se3
• Nanoscale Determination of the Mass Enhancement Factor in the Lightly-Doped Bulk Insulator Lead Selenide
• Topological phase transitions in bulk
• Imaging the formation of high-energy dispersion anomalies in the actinide UCoGa${}_5$
• The search for strong topological insulators
• Persistent Topological Surface State at the Interface of Bi2Se3 Film Grown on Patterned Graphene

Cited by in corpus (649)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Photonics
• Antiferromagnetic spintronics
• Edge states and topological invariants of non-Hermitian systems
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Band Theory for Non-Hermitian Hamiltonians
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet
• Novel Topological Phase with Zero Berry Curvature
• Topological phase transition in non-Hermitian quasicrystals
• Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• New topological invariants in non-Hermitian systems
• First-principles calculations of charge carrier mobility and conductivity in bulk semiconductors and two-dimensional materials
• Acoustic non-Hermitian skin effect from twisted winding topology
• Nodal surface semimetals: Theory and material realization
• Double-Weyl phonons in transition-metal monosilicides
• Topological spin excitations in honeycomb ferromagnet CrI${}_3$
• Two-dimensional second-order topological insulator in graphdiyne
• Topological quantum matter with cold atoms
• Nodal-link semimetals
• Strong-field Phenomena in Periodic Systems
• Electronic Transport and quantum oscillation of Topological Semimetals
• Topological Semimetals from first-principles
• Symmetry-protected nodal phases in non-Hermitian systems
• Topological Hopf and chain link semimetal states and their application to Co2MnGa (Theory and Materials Prediction)
• Quantum phases driven by strong correlations
• Variety of magnetic topological phases in the (MnBi${}_2$Te${}_4$)(Bi${}_2$Te${}_3$)${}_m$ family
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
• Theoretical prediction of magnetic and noncentrosymmetric Weyl fermion semimetal states in the R-Al-X family of compounds (R=rare earth, Al=aluminium, X=Si, Ge)
• Co-existence of Weyl Fermion and Massless Triply Degenerate Nodal Points
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Nodal-knot semimetals
• Topological Phase Transition in Mechanical Honeycomb Lattice
• Engineering Corner States from Two-Dimensional Topological Insulators
• Electric control of Dirac quasiparticles by spin-orbit torque in an antiferromagnet
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Universal Approach to Magnetic Second-Order Topological Insulator
• Non-Hermitian route to higher-order topology in an acoustic crystal
• Nonsymmorphic-symmetry-protected hourglass Dirac loop, nodal line, and Dirac point in bulk and monolayer $X_3$SiTe${}_6$ ($X=$ Ta, Nb)
• Dimensional Crossover of Topological Edge States in Su-Schrieffer-Heeger Model
• Two-dimensional Weyl Half Semimetal and Tunable Quantum Anomalous Hall Effect in Monolayer PtCl${}_3$
• Non-Bloch band collapse and chiral Zener tunneling
• Magnetically Controllable Topological Quantum Phase Transitions in Antiferromagnetic Topological Insulator MnBi${}_2$Te${}_4$
• Controlling mass and energy diffusion with metamaterials
• Non-Hermitian Topological Anderson Insulators
• Interacting Weyl fermions: Phases, phase transitions and global phase diagram
• Nodal Loop and Nodal Surface States in Ti3Al Family Materials
• Symmetry-Protected Ideal Type-II Weyl Phonons in CdTe
• First Principles Calculations for Topological Quantum Materials
• Hall Conductance of a Non-Hermitian Chern Insulator
• Non-Hermitian Dirac Cones
• Terahertz detection based on nonlinear Hall effect without magnetic field
• Quadratic and Cubic Nodal Lines Stabilized by Crystalline Symmetry
• Floquet Topological Phases of Non-Hermitian Systems
• Hybrid-order topological insulators in a phononic crystal
• Antiferromagnetic Ground State of La${}_2$CuO${}_4$: A Parameter-free Ab Initio Description
• Pure Spin Photocurrent in Non-centrosymmetric Crystals: Bulk Spin Photovoltaic Effect
• Jones polynomial and knot transitions in topological semimetals
• Magnetism and anomalous transport in the Weyl semimetal PrAlGe: Possible route to axial gauge fields
• Realizing Su-Schrieffer-Heeger topological edge states in Rydberg-atom synthetic dimensions
• Linear magneto-chiral transport in tilted type-I and type-II Weyl Semimetals
• Bulk-boundary correspondence for non-Hermitian Hamiltonians via Green functions
• Three-component bosons in TiS, ZrSe and HfTe
• Two-dimensional honeycomb borophene oxide: Strong anisotropy and nodal loop transformation
• Coexisted Three-component Bosons and Two-component Weyl Bosons in TiS, ZrSe and HfTe
• Coupling of magnetic order and charge transport in the candidate Dirac semimetal EuCd${}_2$As${}_2$
• Observation of Protected Photonic Edge States Induced By Real-Space Topological Lattice Defects
• Orthogonality Catastrophe as a Consequence of the Quantum Speed Limit
• Unsupervised Manifold Clustering of Topological Phononics
• Low-energy type-II Dirac fermions and spin-polarized topological surface states in transition-metal dichalcogenide NiTe${}_2$
• Topological spin excitations observed in a three-dimensional antiferromagnet
• A new noncollinear ferromagnetic Weyl semimetal with anisotropic anomalous Hall effect
• Defective Edge States and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Type-III Weyl Semimetals: (TaSe4)2I
• Hybrid Nodal Loop Metal: Unconventional Magnetoresponse and Material Realization
• Dynamical topological invariant after a quantum quench
• Dynamics of reconfigurable artificial spin ice: towards magnonic functional materials
• Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter
• Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet
• Second-Order Real Nodal-Line Semimetal in Three-Dimensional Graphdiyne
• Non-trivial point-gap topology and non-Hermitian skin effect in photonic crystals
• Topological Amplification in Photonic Lattices
• Resolving the Topological Classification of Bismuth with Topological Defects
• Topological superconductivity of spin-3/2 carriers in a three-dimensional doped Luttinger semimetal
• Non-Hermitian topology of spontaneous magnon decay
• Higher-order Dirac fermions in three dimensions
• Magnetotransport properties of the triply degenerate node topological semimetal tungsten carbide
• Recipe for Dirac Phonon States with Quantized Valley Berry Phase in Two Dimensional Hexagonal Lattices
• Acoustic square-root topological insulators
• Topological Quantum Materials with Kagome Lattice
• Hyperbolic band topology with non-trivial second Chern numbers
• Higher-Order topological insulator in a dodecagonal quasicrystal
• Manipulation of type-I and type-II Dirac points in PdTe2 superconductor by external pressure
• Chiral Magnonic Edge States in Ferromagnetic Skyrmion Crystals Controlled by Magnetic Fields
• Proximity band structure and spin textures on both sides of topological-insulator/ferromagnetic-metal interface and their transport probes
• Realizing exceptional points of any order in the presence of symmetry
• Quadratic contact point semimetal: Theory and material realization
• Topological band theory for non-Hermitian systems from the Dirac equation
• Observation of degenerate zero-energy topological states at disclinations in an acoustic lattice
• Weyl-loop half metal in Li${}_3$(FeO${}_3$)${}_2$
• Plasmon reflections by topological electronic boundaries in bilayer graphene
• Experimental identification of the second-order non-Hermitian skin effect with physics-graph-informed machine learning
• $d$-Orbital Topological Insulator and Semimetal in Antifluorite Cu${}_2$S Family: Contrasting Spin Helicities, Nodal Box, and Hybrid Surface States
• Topological carbon materials: a new perspective
• Designing light-element materials with large effective spin-orbit coupling
• Observation of giant spin-split Fermi-arc with maximal Chern number in the chiral topological semimetal PtGa
• Topological magnon insulator spin excitations in the two-dimensional ferromagnet CrBr${}_3$
• Non-Bloch $\mathcal{P}\mathcal{T}$ symmetry breaking in non-Hermitian Photonic Quantum Walks
• Importance of Spin-Orbit Coupling in Organic BEDT-TTF and BEDT-TSF Salts
• Giant optical activity and Kerr effect in type-I and type-II Weyl semimetals
• Characterization of Thin Film Materials using SCAN meta-GGA, an Accurate Nonempirical Density Functional
• Machine learning for materials discovery: two-dimensional topological insulators
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• 3D Dirac cone carrier dynamics in Na3Bi and Cd3As2
• Contrasting lattice geometry dependent versus independent quantities: ramifications for Berry curvature, energy gaps, and dynamics
• Chern insulator in a hyperbolic lattice
• Global Phase Diagram of a Dirty Weyl Liquid and Emergent Superuniversality
• Topological quantum catalyst: the case of two-dimensional traversing nodal line states associated with high catalytic performance for hydrogen evolution reaction
• Tunable double-Weyl Fermion semimetal state in the SrSi${}_2$ materials class
• Switching spinless and spinful topological phases with projective $PT$ symmetry
• Designing in-plane heterostructures of quantum spin hall insulators from first principles: 1T'-MoS2 with adsorbates
• Non-Hermitian Photonic Lattices: tutorial
• In-plane anomalous Hall effect in PT-symmetric antiferromagnetic materials
• Backscattering immunity of dipole-exchange magnetostatic surface spin waves
• Engineering of topological state transfer and topological beam splitter in an even-size Su-Schrieffer-Heeger chain
• Theoretical realization of hybrid Weyl state and associated high catalytic performance for hydrogen evolution in NiSi
• Finite-size effects in non-Hermitian topological systems
• Observation of the spin-polarized surface state in a noncentrosymmetric superconductor BiPd
• Detection of Topological Materials with Machine Learning
• Nanowires: A route to efficient thermoelectric devices
• Berry curvature induced thermopower in type-I and type-II Weyl Semimetals
• Topological states in quasicrystals
• Topological phases of a dimerized Fermi-Hubbard model for semiconductor nano-lattices
• WannSymm: A symmetry analysis code for Wannier orbitals
• Exhaustive constructions of effective models in 1651 magnetic space groups
• Eigenvalue topology of non-Hermitian band structures in two and three dimensions
• Temperature Dependent Electronic Structure in a Higher Order Topological Insulator Candidate EuIn${}_2$As${}_2$
• The gauge-field extended $k\cdot p$ method and novel topological phases
• Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit
• A novel undamped gapless plasmon mode in tilted type-II Dirac semimetal
• Symmetry-protected topological phases in lattice gauge theories: topological QED${}_2$
• Purely rotational symmetry-protected topological crystalline insulator $\alpha$-Bi4Br4
• Multiple-Fold Fermions and Topological Fermi Arcs Induced Catalytic Enhancement in Nanoporous Electride C12A7
• Large magnetoresistance in type-II Weyl semimetal WP${}_2$
• Topological Anderson insulator phase in a quasicrystal lattice
• Topological Phases in Magnonics
• Higher-order topological insulators in hyperbolic lattices
• Complete classification of band nodal structures
• Valley and pseudospin-valley topologically protected edge states in symmetric pillared phononic crystals
• Chiral Spin Mode on the Surface of a Topological Insulator
• Two-dimensional topological semimetals
• T-carbon: experiments, properties, derivatives and potential applications
• 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
• Simulating Chern insulators on a superconducting quantum processor
• Magnetotransport properties of the topological nodal-line semimetal CaCdSn
• On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics
• Type-II Dirac surface states in topological crystalline insulators
• The Rashba Scale: Emergence of Band Anti-Crossing as a Design Principle for Materials with Large Rashba coefficient
• Phononic real Chern insulator with protected corner modes in graphynes
• Large gap quantum spin Hall insulator, massless Dirac fermions and bilayer graphene analogue in InAs/Ga(In)Sb heterostructures
• L lines, C points and Chern numbers: understanding band structure topology using polarization fields
• Photonic topological insulators a beginner's introduction
• Type-II Dirac photons at the metasurfaces
• Quaternary Heusler Alloy: An Ideal Platform to Realize Triple Point Fermion
• Stabilizing multiple topological fermions on a quantum computer
• Topological Hourglass Dirac Semimetal in the Nonpolar Phase of Ag${}_2$BiO${}_3$
• Two-dimensional topological superconductivity candidate in van der Waals layered material
• Quantum simulation of topological zero modes on a 41-qubit superconducting processor
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Manipulating Weyl quasiparticles by orbital-selective photoexcitation in WTe2
• Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO${}_3$
• Topological input-output theory for directional amplification
• Prediction of Ideal Topological Semimetals with Triply Degenerate Points in NaCu${}_3$Te${}_2$ Family
• Semiconductor materials stacks for quantum dot spin qubits
• Ambient pressure Dirac electron system in quasi-two-dimensional molecular conductor $\alpha$-(BETS)${}_2$I${}_3$
• Topological gimbal phonons in T-carbon
• Antiferromagnetic Topological Nodal Line Semimetals
• Electric-field tunable Dirac semimetal state in phosphorene thin films
• Higher-order topology in monolayer graphene
• The magnetic, electronic, and light-induced topological properties in two-dimensional hexagonal FeX2 (X = Cl, Br, I) monolayers
• Geometry-dependent skin effects in reciprocal photonic crystals
• Half-integer quantized topological response in quasiperiodically driven quantum systems
• Ground-state quantum geometry in superconductor-quantum dot chains
• Bulk and edge-state arcs in non-hermitian coupled-resonator arrays
• Magneto-optics of a Weyl semimetal beyond the conical band approximation: the case study of TaP
• Probing Operator Spreading via Floquet Engineering in a Superconducting Circuit
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Stability of Weyl points in magnetic half-metallic Heusler compounds
• Two-dimensional topological materials discovery by symmetry-indicator method
• Controllable double quantum state transfers by one topological channel in a frequency-modulated optomechanical array
• Signature of Fermi arc surface states in Andreev reflection at the WTe${}_2$ Weyl semimetal surface
• Inversion symmetric non-Hermitian Chern insulator
• Circuit realisation of a two-orbital non-Hermitian tight-binding chain
• Quantum metric contribution to the pair mass in spin-orbit coupled Fermi superfluids
• Observation of topological nodal-loop state in RAs3 (R = Ca, Sr)
• Berry bands and pseudo-spin of topological photonic phases
• Valley-dependent Corner States in Honeycomb Photonic Crystal without Inversion Symmetry
• Unraveling materials Berry curvature and Chern-Simons numbers from real-time evolution of Bloch states
• All-electron fully relativistic Kohn-Sham theory for solids based on the Dirac-Coulomb Hamiltonian and Gaussian-type functions
• ${\mathbb{Z}}_N$ gauge theories coupled to topological fermions: QED${}_2$ with a quantum-mechanical $\theta$ angle
• Pseudo Dirac Nodal Sphere: Unusual Electronic Structure and Material Realization
• Chiral phonons in honeycomb sublattice of layered CoSn-like compounds
• Spin-polarization control driven by a Rashba-type effect breaking the mirror symmetry in two-dimensional dual topological insulators
• Topology in non-Hermitian Chern insulators with skin effect
• A Higher-Order Topological Insulator Phase in a Modulated Haldane Model
• Starfruit-like nodal semimetal to Dirac and Weyl semimetal state in CaAuAs
• Exhaustive List of Topological Hourglass Band Crossings in 230 Space Groups
• Unconventional Resistivity Scaling in Topological Semimetal CoSi
• Localization, $\mathcal{P}\mathcal{T}$-Symmetry Breaking and Topological Transitions in non-Hermitian Quasicrystals
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• From Birefringent Electrons to a Marginal or Non-Fermi Liquid of Relativistic Spin-1/2 Fermions: An Emergent Superuniversality
• Discovery of Higher-Order Topological Insulators using the Spin Hall Conductivity as a Topology Signature
• Disorder effects of vacancies on the electronic transport properties of realistic topological insulators nanoribbons: the case of bismuthene
• Creation of Chiral Interface Channels for Quantized Transport in Magnetic Topological Insulator Multilayer Heterostructures
• Machine learning spectral indicators of topology
• Observation of topological nodal-line semimetal in YbMnSb2 through optical spectroscopy
• Topological crystalline insulator states in the Ca${}_2$As family
• First-Principles Calculation of Spin and Orbital Contributions to Magnetically Ordered Moments in Sr${}_2$IrO${}_4$
• Majorana Zero Modes Protected by Hopf Invariant in Topologically Trivial Superconductors
• Mapping Domain Wall Topology in the Magnetic Weyl Semimetal CeAlSi
• Two-particle Berry phase mechanism for Dirac and Majorana Kramers pairs of corner modes
• Observation of multiple nodal-lines in SmSbTe
• Topological properties of subsystem-symmetry-protected edge states in an extended quasi-one-dimensional dimerized lattice
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Light-induced quantum anomalous Hall effect on the 2D surfaces of 3D topological insulators
• Fully spin-polarized nodal chain state in half metal LiV${}_2$O${}_4$
• Giant Photonic Response of Mexican-hat Topological Semiconductors for Mid-infrared to THz Applications
• Topological Anderson insulators induced by random binary disorders
• Double Band Inversion in $\alpha$-Sn: Appearance of Topological Surface States and the Role of Orbital Composition
• Saddle-point von Hove singularity and dual topological insulator state in Pt${}_2$HgSe${}_3$
• Berry phase manipulation in ultrathin SrRuO${}_3$ films
• Classifying topology in photonic heterostructures with gapless environments
• Symmetry breaking and (pseudo)spin polarization in Veselago lenses for massless Dirac fermions
• Quadratic pseudospectrum for identifying localized states
• What's knot to like? Observation of a linked loop quantum state
• Prediction of three-fold fermions in a nearly-ideal Dirac semimetal BaAgAs
• Topological phase transition and phonon-space Dirac topology surfaces in ZrTe${}_5$
• Amplification of quantum signals by the non-Hermitian skin effect
• Doubled Quantum Spin Hall Effect with High-Spin Chern Number in $\alpha$-Antimonene and $\alpha$-Bismuthene
• Spin-orbit coupling and topological phases for ultracold atoms
• Realization of an atomic quantum Hall system in four dimensions
• Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
• Revealing Topology in Metals using Experimental Protocols Inspired by $K$-Theory
• Electronic correlations in the van der Waals ferromagnet Fe${}_3$GeTe${}_2$ revealed by its charge dynamics
• Direct Geometric Probe of Singularities in Band Structure
• First-principles quantum transport modeling of spin-transfer and spin-orbit torques in magnetic multilayers
• Location and topology of the fundamental gap in photonic crystals
• Bandgap-Assisted Quantum Control of Topological Edge States in a Cavity
• Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension
• Fully spin-polarized double-Weyl fermions with type-III dispersion in quasi-one dimensional materials X2RhF6 (X=K, Rb, Cs)
• Exact edge, bulk and bound states of finite topological systems
• Structural and electronic properties of realistic two-dimensional amorphous topological insulators
• Weak antilocalization in a noncentrosymmetric CaAgBi single crystal
• Magnonic Weyl states in Cu2OSeO3
• Amorphous Bi${}_2$Se${}_3$ structural, electronic, and topological nature by first-principles
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Quantum Interference Theory of Magnetoresistance in Dirac Materials
• Deep learning of topological phase transitions from entanglement aspects
• Tunable Intrinsic Plasmons due to Band Inversion in Topological Materials
• Electronic optics in graphene in the semiclassical approximation
• Calculated magnetic exchange interactions in Dirac magnon material Cu3TeO6
• Nearly triple nodal point topological phase in half-metallic GdN
• Current partition at zero-line intersection of quantum anomalous Hall topologies
• Ferroelectric higher-order topological insulator in two dimensions
• Spin-orbit-proximitized ferromagnetic metal by monolayer transition metal dichalcogenide: Atlas of spectral functions, spin textures and spin-orbit torques in Co/MoSe${}_2$, Co/WSe${}_2$ and Co/TaSe${}_2$ heterostructures
• Topogivity: A Machine-Learned Chemical Rule for Discovering Topological Materials
• Electronic properties of SnTe-class topological crystalline insulator materials
• Symmetry-enforced Band Nodes in 230 Space Groups
• Highly tunable time-reversal-invariant topological superconductivity in topological insulator thin films
• Few-body systems capture many-body physics: tensor network approach
• Cooper-pair transistor as a minimal topological quantum circuit
• Anomalous Light Scattering by Topological $\mathcal{P}\mathcal{T}$-symmetric Particle Arrays
• Anisotropic Fermi surface probed by the de Haas-van Alphen oscillation in proposed Dirac Semimetal TaSb${}_2$
• First Principles Modeling of Topological Insulators: Structural Optimization and Exchange Correlation Functionals
• Topological Vortex Phase Transitions in Iron-Based Superconductors
• Spherical topological-insulator nanoparticles: Quantum size effects and optical transitions
• ${\mathbb{Z}}_2$ topological quantum paramagnet on a honeycomb bilayer
• Magnon corner states in twisted bilayer honeycomb magnets
• Criteria for realizing room temperature electrical transport applications of topological materials
• Second-order topological corner states in zigzag graphene nanoflake with different types of edge magnetic configurations
• Topological quantization of energy transport in micro- and nano-mechanical lattices
• Extracting quantum-geometric effects from Ginzburg-Landau theory in a multiband Hubbard model
• Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
• Spin-dependent scattering induced negative magnetoresistance in topological insulator Bi2Te3 nanowires
• Observation of Time-Reversal Invariant Helical Edge-Modes in Bilayer Graphene/WSe${}_2$ Heterostructure
• Engineering second-order topological insulators via coupling two first-order topological insulators
• Realization of the Chern insulator and Axion insulator phases in antiferromagnetic $MnTe$-$B{i}_2(Se,Te{)}_3$-$MnTe$ heterostructures
• Spontaneous topological transitions in a honeycomb lattice of exciton-polariton condensates due to spin bifurcations
• Evolution of the topologically protected surface states in superconductor $\beta$-Bi${}_2$Pd from the three-dimensional to the two-dimensional limit
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Second-order and real Chern topological insulator in twisted bilayer $\alpha$-graphyne
• Pairing symmetry and topological surface state in iron-chalcogenide superconductors
• Topological phase in $1D$ topological Kondo insulator: $Z_2$ topological insulator, Haldane-like phase and Kondo breakdown
• Rules for dissipationless topotronics
• Fundamentally fastest optical processes at the surface of a topological insulator
• Hexagonal supertetrahedral boron: A topological metal with multiple spin-orbit-free emergent fermions
• Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
• Three-dimensional topological semimetal phase in layered TaNiTe5 probed by de Haas-van Alphen effect
• Two-dimensional topological semimetal states in monolayers Cu${}_2$Ge, Fe${}_2$Ge, and Fe${}_2$Sn
• Evidence of Ba substitution induced spin-canting in the magnetic Weyl semimetal EuCd${}_2$As${}_2$
• Saddle-like topological surface states on the TT'X family of compounds (T, T' = Transition metal, X= Si, Ge)
• Topological nodal lines and hybrid Weyl nodes in YCoC${}_2$
• Exposing the quantum geometry of spin-orbit coupled Fermi superfluids
• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• Superconducting monolayer deposited on substrate: effects of the spin-orbit coupling induced by proximity effects
• Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
• Magnon versus electron mediated spin-transfer torque exerted by spin currents across antiferromagnetic insulator to switch magnetization of adjacent ferromagnetic metal
• Surface-dominated conductance scaling in Weyl semimetal NbAs
• Realization of a double-slit SQUID geometry by Fermi arc surface states in a WTe${}_2$ Weyl semimetal
• Scale Magnetic Effect in Quantum Electrodynamics and the Wigner-Weyl Formalism
• Three-dimensional graphene networks modified with acetylenic linkages for high-performance optoelectronics and Li-ion battery anode material
• Dual Topological Insulator Device with Disorder Robustness
• Advances in Complex Oxide Quantum Materials Through New Approaches to Molecular Beam Epitaxy
• Type-II topological metals
• High-pressure phases of Weyl semimetals NbP, NbAs, TaP and TaAs
• A hierarchy of multi-moment skyrmion phases in twisted magnetic bilayers
• Topological states in superlattices of HgTe-class materials for engineering three-dimensional flat bands
• Standard Model as the topological material
• Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
• Topological hinge modes in Dirac semimetals
• Observation of gapped state in rare-earth monopnictide HoSb
• Multivalued current-phase relationship in a.c. Josephson effect for a three-dimensional Weyl semimetal WTe${}_2$
• Topological Magnons in a One-dimensional Itinerant Flatband Ferromagnet
• Topological pumping assisted by Bloch oscillations
• Topological Edge States Induced by Zak's Phase in A3B Monolayers
• Time-reversal symmetric topological metal
• Building programable integrated circuits through disordered Chern insulators
• Thermoelectric effects in topological crystalline insulators
• Chern numbers of topological phonon band crossing determined with inelastic neutron scattering
• Nonlinear Quantum Electrodynamics in Dirac materials
• Discovering two-dimensional magnetic topological insulators by machine learning
• Topological inverse band theory in waveguide quantum electrodynamics
• Electrons in helical magnetic field: a new class of topological metals
• 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
• Magnonic Su-Schrieffer-Heeger Model in Honeycomb Ferromagnets
• Topological Superconducting Vortex From Trivial Electronic Bands
• Topological properties of two-dimensional photonic square lattice without $C_4$ and $M_{x(y)}$ symmetries
• Scaling of geometric phase versus band structure in cluster-Ising models
• Exact Mobility edges and topological Anderson insulating phase in a slowly varying quasiperiodic model
• Observation of Dirac state in half-Heusler material YPtBi
• Topological crystalline insulator state with type-II Dirac fermions in transition metal dipnictides
• Optically induced topological states on the surface of mercury telluride
• Topological phases in pyrochlore thallium niobate Tl${}_2$Nb${}_2$O${}_{6+x}$
• Hybrid-order topological odd-parity superconductors via Floquet engineering
• Topological surface states in strained Dirac semimetal thin films
• Realistic tight-binding model for monolayer transition metal dichalcogenides in 1T' structure
• Symmetry-protected metallic and topological phases in penta-materials
• Tunable skyrmion-skyrmion binding on the surface of a topological insulator
• Magneto-transport and Shubnikov-de Haas oscillations in the layered ternary telluride Ta3SiTe6 topological semimetal
• Fano effect in Aharonov-Bohm ring with topologically superconducting bridge
• Emergent Energy Dissipation in Quantum Limit
• From Atomic Semimetal to Topological Nontrivial Insulator
• Positron surface state as a spectroscopic probe for characterizing surfaces of topological insulator materials
• BaSn${}_2$: A new, wide-gap, strong topological insulator
• Quantum phase transitions of multi-species Dirac fermions
• Disorder and magnetic transport in tilted Weyl semimetals
• Cooper pairing, flat-band superconductivity and quantum geometry in the pyrochlore-Hubbard model
• Disorder and magnetoconductivity in tilted Weyl semimetals
• Engineering topologically protected zero-dimensional interface end states in antiferromagnetic heterojunction graphene nanoflakes
• Emergent magnetic state in (111)-oriented quasi-two-dimensional spinel oxides
• Switchable large-gap quantum spin Hall state in two-dimensional MSi${}_2$Z${}_4$ materials class
• Tight-binding Piezoelectric Theory and Electromechanical Coupling Correlations for Transition Metal Dichalcogenide Monolayers
• Magnetic properties of Type I and II Weyl Superconductors
• Monolayer and bilayer PtCl${}_3$: Energetics, magnetism, and band topology
• Exotic rare earth-based materials for emerging spintronic technology
• Canted Antiferromagnetic phases in the layered candidate Weyl material EuMnSb${}_2$
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Ferromagnetic phase transition in topological crystalline insulator thin films: interplay of anomalous Hall angle and magnetic anisotropy
• Structural disorder-induced topological phase transitions in quasicrystals
• The General Principle behind Magnetization-induced Second-Order Topological Corner States in the Kane-Mele Model
• Synthetic multi-dimensional Aharonov-Bohm cages in Fock state lattices
• Abundant surface-semimetal phases in three-dimensional obstructed atomic insulators
• Topology of SmB${}_6$ determined by dynamical mean field theory
• Feature-energy duality of topological boundary states in multilayer quantum spin Hall insulator
• Impact of high-frequency pumping on anomalous finite-size effects in three-dimensional topological insulators
• Highly Tunable Band Inversion in AB2X4 (A=Ge, Sn, Pb; B=As, Sb, Bi; X=Se, Te) Compounds
• Topological photonics on superconducting quantum circuits with parametric couplings
• Nonsymmorphic nodal-line metals in the two-dimensional rare earth monochalcogenides MX (M = Sc, Y; X = S, Se, Te)
• Type I superconductivity in Dirac materials
• Magnetization governed magnetoresistance anisotropy in topological semimetal CeBi
• Dissipation-induced topological phase transition and periodic-driving-induced photonic topological state transfer in a small optomechanical lattice
• Transport Induced Dimer State from Topological Corner States
• Orbital shift-induced boundary obstructed topological materials with a large energy gap
• Topological transitions in quantum jump dynamics: Hidden exceptional points
• Interlayer Coupling Induced Topological Phase Transition to Higher Order
• Polariton vortex Chern insulator
• Emerging exceptional point with breakdown of skin effect in non-Hermitian systems
• Identifying Topological Superconductivity in 2D Transition-Metal Dichalcogenides
• Lorentz-boost-driven magneto-optics in a Dirac nodal-line semimetal
• Topological classification of intrinsic 3D superconductors using anomalous surface construction
• Electronic Structure Examination on the Topological Properties of CaMnSb${}_2$ by Angle-Resolved Photoemission Spectroscopy
• Chiralities of nodal points along high symmetry lines with screw rotation symmetry
• Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
• Topologically Protected Wormholes in Type-III Weyl Semimetal Co${}_3$In${}_2$X${}_2$ (X = S, Se)
• Topologically Nontrivial Interband Plasmons in Type-II Weyl Semimetal MoTe${}_2$
• Dynamical time-reversal and inversion symmetry breaking, dimensional crossover, and chiral anomaly in $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Termination Dependent Topological Surface States in Nodal Loop Semimetal HfP2
• Infrared spectroscopic studies of the topological properties in CaMnSb2
• Topological states on uneven (Pb,Sn)Se (001) surfaces
• Exact Solution to Haldane-BCS-Hubbard Model Along the Symmetric Lines: Interaction Induced Topological Phase Transition
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• Link between \emph{Zitterbewegung} and topological phase transition
• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• Topological Protection and Control of Quantum Markovianity
• Interfacial-hybridization-modified Ir Ferromagnetism and Electronic Structure in LaMnO${}_3$/SrIrO${}_3$ Superlattices
• Monopole topological resonators
• Structure, phase stability, half-metallicity, and fully spin-polarized Weyl states in compound NaV2O4: a new example for topological spintronic material
• Gapped Dirac cones and spin texture in thin film topological insulator
• Interacting topological mirror excitonic insulator in one dimension
• State-dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Magnetic field-dependent resistance crossover and logarithmic to non-saturating magnetoresistance in topological insulator Bi${}_2$Te${}_3$
• Investigation of structural and magneto-transport properties of PdTe2 single crystals
• Coherent destruction of tunneling in graphene irradiated by elliptically polarized lasers
• Magnetic hourglass fermions: from exhaustive symmetry conditions to high-throughput materials predictions
• Gapped Dirac semimetal with mixed linear and parabolic dispersions
• Two-Dimensional Higher-Order Topological Metals
• Bulk Localised Transport States in Infinite and Finite Quasicrystals via Magnetic Aperiodicity
• Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry
• Grapheayne: a class of low-energy carbon allotropes with diverse optoelectronic and topological properties
• Enhanced repulsively bound atom pairs in topological optical lattice ladders
• Pressure and Inversion Symmetry Breaking Field Driven First Order Phase Transition and Formation of Dirac Circle in Perovskites
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Magnetic field filtering of the hinge supercurrent in unconventional metal NiTe${}_2$-based Josephson junctions
• Pauli metallic ground-state in Hubbard clusters with Rashba spin-orbit coupling
• Photoinduced anomalous Hall effect in the interacting Haldane model: targeting topological states with pump pulses
• Out of equilibrium chiral higher order topological insulator on a $\pi$-flux square lattice
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Diluted magnetic Dirac-Weyl materials: Susceptibility and ferromagnetism in three-dimensional chiral gapless semimetals
• Stacking-induced Chern insulator
• Observation of anisotropic Dirac cones in the topological material Ti2Te2P
• Tunable bulk photovoltaic effect in strained $\gamma$-GeSe
• Pair spin-orbit interaction in low-dimensional electron systems
• Tuning Dirac nodes with correlated d-electrons in BaCo_{1-x}Ni_{x}S_{2}
• Topological Phase Transition in Quasi-One-Dimensional Bismuth Iodide Bi4I4
• WloopPHI: A tool for ab initio characterization of Weyl semimetals
• Magnetotransport properties of the new-type topological semimetal ZrTe
• Planar Hall Plateau in Magnetic Weyl Semimetals
• Electric control of the bandgap in quantum wells with band-inverted junctions
• Composite helical edges from Abelian fractional topological insulators
• Fully gapped superconducting state in Au2Pb: a natural candidate for topological superconductor
• Discovery of highly spin-polarized conducting surface states in the strong spin-orbit coupling semiconductor Sb${}_2$Se${}_3$
• Entanglement Signature of Hinge Arcs, Fermi Arcs, and Crystalline Symmetry Protection in Higher-Order Weyl Semimetals
• Quantized Topological Response in Trapped Quantum Gases
• Role of the Berry curvature on BCS-type superconductivity in two-dimensional materials
• Engineering axion insulator phase in superlattices with inversion symmetry breaking
• Topological field-effect transistor with quantized ON/OFF conductance of helical/chiral dislocation states
• Finite temperature physics of $1D$ topological Kondo insulator: Stable Haldane phase, Emergent energy scale and Beyond
• Emergent Phenomena with Broken Parity-Time Symmetry: Odd-order vs. Even-order Effects
• Direct observation of a photoinduced topological phase transition in Bi-doped (Pb,Sn)Se
• Flat bands and $Z_2$ topological phases in a non-Abelian kagome lattice
• Pressure Effect on Band Inversion in AECd2As2
• Photo-induced SU(3) topological material of spinless fermions
• Topological Nontrivial Phase in Hexagonal Antiperovskites A3BiB (A=Ba,Sr; B=P,N)
• An ab-initio study of topological and transport properties of YAuPb
• Interlayer Coupling Induced Quasiparticles
• Axion insulators protected by C2T and their K-theory invariants and material realization
• Orbital origin of fourfold anisotropic magnetoresistance in Dirac materials
• Magnetization-Induced Phase Transitions on the surface of 3D Topological Insulators
• Controllable Weyl Nodes and Fermi Arcs from Floquet Engineering Triple Fermions
• Einstein-de Haas Effect of Topological Magnons
• Topological Dirac Semimetal Phase in Bismuth Based Anode Materials for Sodium-Ion Batteries
• Thermal Transport Properties of Magnons on the $\alpha$-T${}_3$ Lattice
• Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
• Nodal lines and mapping to mirror Chern numbers in Ca${}_2$As family
• Rigidity of topological invariants to symmetry breakings
• A semimetallic square-octagon (fes) two-dimensional polymer with high mobility
• Unusual Electronic Structure of Dirac Material BaMnSb${}_2$ Revealed by Angle-Resolved Photoemission Spectroscopy
• Defective Edge states and Anomalous Bulk-boundary Correspondence for Topological Insulators under Non-Hermitian Similarity Transformation
• Tutorial: From Topology to Hall Effects -- Implications of Berry Phase Physics
• Ferromagnetism in armchair graphene nanoribbon heterostructures
• Extracting unconventional spin texture in two dimensional topological crystalline insulator bismuthene via tuning bulk-edge interactions
• Reentrant topological phases and spin density wave induced by 1D moiré potentials
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• Towards the theory of types III and IV non-Hermitian Weyl fermions
• Atomic Scale Quantum Anomalous Hall Effect in Monolayer Graphene/$\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$ Heterostructure
• Fragility of the Dirac Cone Splitting in Topological Crystalline Insulator Heterostructures
• Two-Dimensional Altermagnetic Iron Oxyhalides: Real Chern Topology and Valley-Spin-Lattice Coupling
• Effect of chiral anomaly on the circular dichroism and Hall angle in doped and tilted Weyl semimetals
• Symmetry-enforced planar nodal chain phonons in non-symmorphic materials
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Chern insulators and high Curie temperature Dirac half-metal in two-dimensional metal-organic frameworks
• Chemical Gating of a Weak Topological Insulator: Bi14Rh3I9
• Theory of magnetotransport in shaped topological insulator nanowires
• Localized Wannier function based tight-binding models for two-dimensional allotropes of bismuth
• Real Chern insulators in two-dimensional altermagnetic Fe${}_2$S${}_2$O and Fe${}_2$Se${}_2$O
• IrF4: From Tetrahedral Compass Model to Topological Semimetal
• Non-reciprocity is necessary for robust dimensional reduction and strong responses in stochastic topological systems
• Temperature effects in topological insulators of transition metal dichalcogenide monolayers
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Absence of metallicity and bias-dependent resistivity in low-carrier-density EuCd2As2
• Hierarchical Topological States in Thermal Diffusive Networks
• Investigating the effect of temperature dependent many-body interactions on bulk electronic structures and the robust nature of (001) surface states of SnTe
• High-buckled R3 stanene with topologically nontrivial energy gap
• Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
• Observation of 1D Fermi arc states in Weyl semimetal TaAs
• Topological two-body bands in a multiband Hubbard model
• Large-gap quantum anomalous Hall states induced by functionalizing buckled Bi-III monolayer/Al${}_2$O${}_3$
• A topological classification of molecules and chemical reactions with a perplectic structure
• High-order Van Hove singularities in cuprates and related high-Tc superconductors
• XFe4Ge2 (X = Y, Lu) and Mn3Pt: Filling-enforced magnetic topological metals
• All hourglass bosonic excitations in the 1651 magnetic space groups and 528 magnetic layer groups
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Topological Critical Materials of Ternary Compounds
• Memristive switching in the surface of a charge-density-wave topological semimetal
• Ultrafast relaxation of acoustic and optical phonons in a topological nodal-line semimetal ZrSiS
• Single and multi-frequency driving protocols in a Rashba nanowire proximitized to an s-wave superconductor
• On the role of geometric phase in the dynamics of elastic waveguides
• Topological property of a $t_{2g}^5$ system with a honeycomb lattice structure
• Non-Quantized Edge Channel Conductance and Zero Conductance Fluctuation in Non-Hermitian Chern Insulators
• Projective symmetry determined topology in flux Su-Schrieffer-Heeger model
• Strong and Weak Three-Dimensional Topological Insulators Probed by Surface Science Methods
• Additive rule of real and reciprocal space topologies at disclinations
• Topological band inversion in HgTe(001): surface and bulk signatures from photoemission
• Topological state transfers in cavity-magnon system
• Chiral Hinge Transport in Disordered Non-Hermitian Second-Order Topological Insulators
• Uncover band topology via quantized drift in two-dimensional Bloch oscillations
• Topological Corner States in Bilayer and Trilayer Systems with Vertically Stacked Topological Heterostructures
• Topological Degeneracy Induced by Twisting
• Quantum geometric tensor and the topological characterization of the extended Su-Schrieffer-Heeger model
• Topological Nature of Orbital Chern Insulators
• Faithful Simulation and Detection of Quantum Spin Hall Effect on Superconducting Circuits
• Low-Frequency Divergence of Circular Photomagnetic Effect in Topological Semimetals
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Topological Transitions in a Model for Proximity Induced Superconductivity
• Evidence of phase stability, topological phonon and temperature-induced topological phase transition in rocksalt SnS and SnSe
• Signature of edge states in resonant wave scattering
• Precise determination of critical points of topological phase transitions via shift current in two-dimensional inversion asymmetric insulators
• Topological phase transitions via attosecond x-ray absorption spectroscopy
• Topological insulators on fractal lattices: A general principle of construction
• Plasmons in Z2 Topological Insulators
• Topological Descendants of Multicritical EuTl2
• Parallel and anti-parallel helical surface states for topological semimetals
• Emergence of the Unconventional Type-II Nambu-Goldstone Modes with Topological Origin in Bose Superfluids
• Topological Signatures in Nodal Semimetals through Neutron Scattering
• Emergence of asymmetric fermionic order in interacting birefringent fermions
• Observation of paramagnetic spin-degeneracy lifting in EuZn2Sb2
• Quasiparticle interference and resonant states in normal and superconducting line nodal semimetals
• A Critical Edge Number Revealed for Phase Stabilities of Two-Dimensional Ball-Stick Polygons
• Polynomial description of inhomogeneous topological superconducting wires
• Hardcore bosonic domain walls on honeycomb lattice
• Dilemma in strongly correlated materials: Hund's metal vs relativistic Mott insulator
• Doping-controlled surface conduction in topological insulators with warping effects
• Superconducting topological Dirac semimetals: $P6/m$-Si${}_6$ and $P6/m$-NaSi${}_6$
• Electronic structure in a transition metal dipnictide TaAs2
• Study on Susceptibilities of Superconductors BaPtSb and BaPtAs with Honeycomb Structure
• Enhancement of the Thermoelectric Figure of Merit in the Dirac Semimetal Cd${}_3$As${}_2$ by Band-Structure and -Filling Control
• Topological switching in bilayer magnons via electrical control
• Quantum spin Hall effect in bilayer honeycomb lattices with C-type antiferromagnetic order
• Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
• Magnetic interactions and excitations in SrMnSb${}_2$
• Fidelity and variability in the interlayer electronic structure of the kagome superconductor CsV3Sb5
• On quasi-nodal spheres and the spin Hall effect: the case of YH3 and CaTe
• Relativistic horizon of interacting Weyl fermions in condensed matter systems
• Observation of Dirac Charge Density Waves in Bi${}_2$Te${}_2$Se
• Equally Spaced Quantum States in van der Waals Epitaxy-Grown Nanoislands
• Spin waves in doped graphene: a time-dependent spin-density-functional approach to collective excitations in paramagnetic two-dimensional Dirac fermion gases
• Evolution of the Chern Gap in Chern Magnet HoMn${}_6$Sn${}_{6-x}$Ge${}_x$
• Fermi surface studies of a non-trivial topological compound YSi
• Non-orthogonal Spin-Momentum Locking
• Excited-state dynamics of structurally characterized crystal of SnxSb1-x
• Anisotropic superexchange through nonmagnetic anions with spin-orbit coupling
• Dirac state switching in transition metal diarsenides
• Topological bosonic states on ribbons of honeycomb lattice
• Topologically protected states in $\delta$-doped junctions with band inversion
• Spin wave effects in transport between a ferromagnet and a Weyl semimetal surface
• Band warping, band non-parabolicity and Dirac points in fundamental lattice and electronic structures
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Topology reconstruction for asymmetric systems by isomorphic mapping or perturbation approximation
• Tuning Fermi Levels in Intrinsic Antiferromagnetic Topological Insulators MnBi2Te4 and MnBi4Te7 by Defect Engineering and Chemical Doping
• Spinless topological chirality from Umklapp scattering in twisted 3D structures
• Nodal lines and boundary modes in topological Dirac semimetals with magnetism
• Impurity-potential-induced gap at the Dirac point of topological insulators with in-plane magnetization
• Breakdown of boundary criticality and exotic topological semimetals in $\mathcal{P}\mathcal{T}$-invariant systems
• Dynamically Characterizing the Structures of Dirac Points via Wave Packets
• Quantum spin Hall density wave insulator of correlated fermions
• Double band inversion in the topological phase transition of Ge1-xSnx alloys
• Orbital Magnetization and Streda Formula of Interacting Electrons in the Mean-field Approximation
• Understanding one-dimensional topological Kondo insulator: Poor man's non-uniform antiferromagnetic mean-field theory versus quantum Monte Carlo simulation
• Collective plasmonic modes in the chiral multifold fermionic material CoSi
• Exploring temperature dependent electron-electron interaction of topological crystalline insulators (SnS and SnSe) within Matsubara-time domain
• Twin Domain Structure in Magnetically Doped Topological Insulators
• Local symmetry groups for arbitrary wavevectors
• Classical correspondence of the exceptional points in the finite non-Hermitian system
• C-type antiferromagnetic structure of topological semimetal CaMnSb${}_2$
• Diagonal Entropy and Topological Phase Transitions in Extended Kitaev Chains
• Degenerate Topological Edge States in Multimer Chains
• Chiral edge transport along domain walls in magnetic topological insulator nanoribbons
• Role of effective mass anisotropy in realizing a hybrid nodal-line fermion state
• Observation of Embedded Topology in a Trivial Bulk via Projective Crystal Symmetry
• Large circular photogalvanic effect in the noncentrosymmetric magnetic Weyl semimetal CeAlSi
• Chern numbers for the two-body Hofstadter-Hubbard butterfly
• Second-order topological insulator and fragile topology in topological circuitry simulation
• Phonon topology and winding of spectral weight in graphite
• Bosonic Weyl excitations induced by $p$-orbital interactions in a cubic optical lattice
• A Unified View of Topological Phase Transition in Band Theory
• Topological photocurrent responses from chiral surface Fermi arcs
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Theory of Topological Superconductivity in Doped IV-VI Semiconductors
• Two-dimensional Dirac matter in the semiclassical regime
• Scattering description of edge states in Aharonov-Bohm triangle chains
• Possible gapless helical edge states in hydrogenated graphene
• Fractional ac Josephson effect as evidence of topological hinge states in a Dirac semimetal NiTe2
• Superconductivity in three-dimensional interacting doped topological insulators
• Direct Observation of Strongly Tilted Dirac Points at General Positions in the Reciprocal Space
• Topological Phase Transitions and Edge-State Transfer in Time-Multiplexed Quantum Walks
• Topological band insulators without translational symmetry
• Berry Curvature Dipole-Induced Chiral Terahertz Gain and Lasing Threshold in Bulk Tellurium
• Spin-mixing-tunneling network model for Anderson transitions in two-dimensional disordered spinful electrons
• Topological Phases in Non-Hermitian Nonlinear-Eigenvalue Systems
• Recent progress on disorder-induced topological phases
• Quantum anomalous Hall effect with tunable Chern numbers induced by d-wave sublattice-staggered altermagnetism
• Engineering Two-Dimensional Hybrid-Order Topological Insulators via Trilayer Coupling
• Higher-order topological insulators in two-dimensional antiferromagnetic and altermagnetic chromium-based group-IV chalcogenides
• Probing the semiconductor-to-dirac semimetal transition in Na-Sb-Bi alloys with x-ray Compton scattering
• Wilson Loop and Topological Properties in 3D Woodpile Photonic Crystal
• Higher-Order Topology in Monolayer FeSe
• Majorana-like oscillation for edge states in one-dimensional topological chain with dissipative couplings
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Exploiting $\vartheta -$functions for the identification of topological materials
• Higher-order topological insulator in cubic semiconductor quantum wells
• Lithium Niobate Photonic Topological Insulator-based Multi-Wavelength Optical Demultiplexer with Piezoelectric Switch-Off
• Thermo-magneto-electric transport through a torsion dislocation in a type I Weyl Semimetal
• Emergence of Double-Dome Superconductivity in the Pressurized Dirac Semimetal BaMg2Bi2
• Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response
• Robust interface-state laser in non-Hermitian micro-resonator arrays
• Classification of Topological Phase in 2D Photonic Continuous Media Using Electromagnetic Parameters
• Correspondence between non-Hermitian topology and directional amplification in the presence of disorder
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
• Triply degenerate nodal line and tunable contracted-drumhead surface state in a tight-binding model
• Magnetically tunable Dirac and Weyl fermions in the Zintl materials family
• Aslamazov Larkin Conductivity in Weyl Semimetals
• Wavefunction-Free Approach for Predicting Nonlinear Responses in Weyl Semimetals
• Quasi-nodal lines in rhombohedral magnetic materials
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Light-driven topological and magnetic phase transitions in thin-layer antiferromagnets
• Triply-degenerate point in three-dimensional spinless systems
• Phonons Drive the Topological Phase Transition in Quasi-One-Dimensional Bi${}_4$I${}_4$
• Anomalous Landau levels and quantum oscillation in rotation-invariant insulators
• Topology of the generalized Brillouin zone of one-dimensional models
• Symmetry-Based Real-Space Framework for Realizing Flat Bands and Unveiling Nodal-Line Touchings
• Topological bands in metals
• Graphyne as a second-order and real Chern topological insulator in two dimensions
• Majorana Bound State leakage to impurity in Su-Schrieffer-Heeger-Rashba scenario