Topological invariants of time-reversal-invariant band structures

Abstract

The topological invariants of a time-reversal-invariant band structure in two dimensions are multiple copies of the ${\mathbb{Z}}_2$ invariant found by Kane and Mele. Such invariants protect the topological insulator and give rise to a spin Hall effect carried by edge states. Each pair of bands related by time reversal is described by a single ${\mathbb{Z}}_2$ invariant, up to one less than half the dimension of the Bloch Hamiltonians. In three dimensions, there are four such invariants per band. The ${\mathbb{Z}}_2$ invariants of a crystal determine the transitions between ordinary and topological insulators as its bands are occupied by electrons. We derive these invariants using maps from the Brillouin zone to the space of Bloch Hamiltonians and clarify the connections between ${\mathbb{Z}}_2$ invariants, the integer invariants that underlie the integer quantum Hall effect, and previous invariants of $\mathcal{T}$-invariant Fermi systems.

4 pages

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• Observations of two-dimensional quantum oscillations and ambipolar transport in the topological insulator Bi2Se3 achieved by Cd doping
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• A $\Gamma$-matrix generalization of the Kitaev model
• Topological Insulators from Spontaneous Symmetry Breaking Induced by Electron Correlation on Pyrochlore Lattices
• Topological quantum states of matter in iron-based superconductors: From concepts to material realization
• Kondo effect in three-dimensional Dirac and Weyl systems
• Evidence of topological insulator state in the semimetal LaBi
• Long-range topological insulators and weakened bulk-boundary correspondence
• Localization and Mobility Gap in Topological Anderson Insulator
• Entanglement Spectrum Classification of $C_n$-invariant Noninteracting Topological Insulators in Two Dimensions
• Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities
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• Topological Entanglement-Spectrum Crossing in Quench Dynamics
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• Novel Spin-texture on the warped Dirac-cone surface states in topological insulators
• Topological crystalline semimetals in non-symmorphic lattices
• Fractional (Chern and topological) insulators
• Modern semiclassical theory of magnetic transport and breakdown
• Current induced anisotropic magnetoresistance in topological insulator films
• Vortex Lines in Topological Insulator-Superconductor Heterostructures
• Topological band theory for non-Hermitian systems from the Dirac equation
• Finite difference method for transport properties of massless Dirac fermions
• Persistence of two-dimensional topological insulator state in wide HgTe quantum well
• 2D layered transport properties from topological insulator Bi${}_2$Se${}_3$ single crystals and micro flakes
• Theory of quasiparticle interference on the surface of a strong topological insulator
• Topological states in pyrochlore iridates: long-range anisotropy strongly competing with spin-orbit interaction
• Correlation effects in (111) bilayers of perovskite transition-metal oxides
• SU(3) Spin-Orbit Coupling in Systems of Ultracold Atoms
• Exactly soluble models for fractional topological insulators in 2 and 3 dimensions
• Scattering matrix invariants of Floquet topological insulators
• Anomalous dressing of Dirac fermions in the topological surface state of Bi2Se3, Bi2Te3, and CuxBi2Se3
• Symmetry-protected topological phases and orbifolds: Generalized Laughlin's argument
• Thin topological insulator film in a perpendicular magnetic field
• Quantum Hall States Stabilized in Semi-magnetic Bilayers of Topological Insulators
• Dislocation Non-Hermitian Skin Effect
• Atomically Thin Quantum Spin Hall Insulators
• Symmetries, Dimensions, and Topological Insulators: the mechanism behind the face of the Bott clock
• Topological indices, defects and Majorana fermion in chiral superconductors
• A classification of 3+1D bosonic topological orders (II): the case when some point-like excitations are fermions
• Terahertz Kerr and Reflectivity Measurements on the Topological Insulator Bi2Se3
• Topological insulator based spin valve devices: evidence for spin polarized transport of spin-momentum-locked topological surface states
• Collective modes in nodal line semimetals
• Noncommutative geometry for three-dimensional topological insulators
• Topo-fermiology
• Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function
• Symmetry indicators of band topology
• Topological phase in one-dimensional interacting fermion system
• Strain-induced pseudo-magnetic fields and charging effects on CVD-grown graphene
• Bosonic Anomalies, Induced Fractional Quantum Numbers and Degenerate Zero Modes: the anomalous edge physics of Symmetry-Protected Topological States
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Three-dimensional topological phase on the diamond lattice
• Composite Dirac liquids: parent states for symmetric surface topological order
• Topological superfluid 3He-B in magnetic field and Ising variable
• Thermal Instability of Protected End States in a 1-D Topological Insulator
• Topological Response Theory of Abelian Symmetry-Protected Topological Phases in Two Dimensions
• Patterns of Electro-magnetic Response in Topological Semi-metals
• Topological Bloch oscillations
• Prediction of Weyl semimetal, AFM topological insulator, nodal line semimetal, and Chern insulator phases in Bi2MnSe4
• First-principles calculation of topological invariants Z2 within the FP-LAPW formalism
• Partial lattice defects in higher order topological insulators
• Projective Ribbon Permutation Statistics: a Remnant of non-Abelian Braiding in Higher Dimensions
• Spherical topological insulator
• ${\mathbb{Z}}_2$ Topological Invariant for Magnon Spin Hall Systems
• Fractional Topological Insulators -- a Pedagogical Review
• Crystallographic splitting theorem for band representations and fragile topological photonic crystals
• Topological magnetic crystalline insulators and co-representation theory
• Pressure induced topological quantum phase transition in Sb_2Se_3
• Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
• Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
• Anomalous Topological Pumps and Fractional Josephson Effects
• Superconductivity on the surface of topological insulators and in two-dimensional noncentrosymmetric materials
• On the matter of topological insulators as magnetoelectrics
• Interaction effects on 1D fermionic symmetry protected topological phases
• Classification of Crystalline Topological Insulators and Superconductors with Point Group Symmetries
• Geometrical and topological aspects of graphene and related materials
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Mirror symmetry and the half-filled Landau level
• Dissipationless Phonon Hall Viscosity
• Dynamical delocalization of Majorana edge states by sweeping across a quantum critical point
• Helical fluctuations in the Raman response of the topological insulator Bi2Se3
• Effective field theories for topological insulators by functional bosonization
• Classification of topological crystalline insulators based on representation theory
• Conflicting Symmetries in Topologically Ordered Surface States of Three-dimensional Bosonic Symmetry Protected Topological Phases
• Optical evidence of surface state suppression in Bi based topological insulators
• Momentum space metric, non-local operator, and topological insulators
• Z2 invariant protected bound states in topological insulators
• Majorana zero modes in dislocations of Sr${}_2$RuO${}_4$
• Floquet band structure of a semi-Dirac system
• Symmetry Fractionalization in Two Dimensional Topological Phases
• Majorana fermion chain at the Quantum Spin Hall edge
• A topological look at the quantum spin Hall state
• Engineering three-dimensional topological insulators in Rashba-type spin-orbit coupled heterostructures
• Weak topological insulators induced by the inter-layer coupling: A first-principles study of stacked Bi2TeI
• Quantum anomalous Hall states in the $p$-orbital honeycomb optical lattices
• Andreev bound states and current-phase relations in three-dimensional topological insulators
• Universal symmetry-protected topological invariants for symmetry-protected topological states
• Bulk invariants and topological response in insulators and superconductors with nonsymmorphic symmetries
• Metacinnabar (β-HgS): a strong 3D topological insulator with highly anisotropic surface states
• Anyon condensation and a generic tensor-network construction for symmetry protected topological phases
• Disorder-induced metal-insulator transitions in three-dimensional topological insulators and superconductors
• Proximity induced superconductivity in Weyl semi-metals
• Topological classification and diagnosis in magnetically ordered electronic materials
• A moiré superlattice on the surface of a topological insulator
• Strain induced topological phase transitions in monolayer honeycomb structures of group-V binary compounds
• Unconventional topological phase transition in two-dimensional systems with space-time inversion symmetry
• Interplay between topological insulators and superconductors
• Filling of magnetic-impurity-induced gap in topological insulators by potential scattering
• Floquet Weyl Phases in a Three Dimensional Network Model
• Observation of warping effects in the band and angular momentum structures of topological insulator Bi2Te3
• Many-body effects and possible superconductivity in the 2D metallic surface states of 3D topological insulators
• Topological phase transitions in (Bi${}_{1-x}$In${}_x{)}_2$Se${}_3$ and (Bi${}_{1-x}$Sb${}_x{)}_2$Se${}_3$
• Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined Quantum Monte Carlo and Green's function study
• Constructing symmetric topological phases of bosons in three dimensions via fermionic projective construction and dyon condensation
• Surface collective modes in the topological insulators Bi${}_2$Se${}_3$ and Bi${}_{0.5}$Sb${}_{1.5}$Te${}_{3-x}$Se${}_x$
• Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems
• Vortex-line condensation in three dimensions: A physical mechanism for bosonic topological insulators
• Magnetotransport of Dirac Fermions on the surface of a topological insulator
• ${\mathbb{Z}}_2$ Topological Index for Continuous Photonic Materials
• Quantized pumping and phase diagram topology of interacting bosons
• Weak Topological Insulators in PbTe/SnTe Superlattices
• Low-Temperature and High-Energy-Resolution Laser Photoemission Spectroscopy
• Spintronics and spincaloritronics in topological insulators
• Chiral Electronics
• Anomalous 3D bulk AC conduction within the Kondo gap of SmB${}_6$ single crystals
• Half quantum spin Hall effect on the surface of weak topological insulators
• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• The electronic structure of clean and adsorbate-covered Bi2Se3: an angle-resolved photoemission study
• Unconventional Fusion and Braiding of Topological Defects in a Lattice Model
• Reducing electronic transport dimension to topological hinge states by increasing geometry size of Dirac semimetal Josephson junctions
• Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
• Large, high quality single-crystals of the new Topological Kondo Insulator, SmB6
• Time Reversal Symmetric Topological Exciton Condensate in Bilayer HgTe Quantum Wells
• Non-Commutative Chern Numbers for Generic Aperiodic Discrete Systems
• Finite-size energy gap in weak and strong topological insulators
• Kondo effect on the surface of 3D topological insulators: Signatures in scanning tunneling spectroscopy
• Symmetry-protected topological phases with charge and spin symmetries: response theory and dynamical gauge theory in 2D, 3D and the surface of 3D
• Anderson localization and the topology of classifying spaces
• Dislocation charges reveal two-dimensional topological crystalline invariants
• A Fractionalized Quantum Spin Hall Effect
• Exotic topological density waves in cold atomic Rydberg fermions
• Bulk-corner correspondence of time-reversal symmetric insulators: deduplicating real-space invariants
• Topological Insulator to Dirac Semimetal Transition Driven by Sign Change of Spin-Orbit Coupling in Thallium Nitride
• Switchable Quantum Anomalous Hall state in a strongly frustrated lattice magnet
• Weyl and Dirac Loop Superconductors
• Any Axion Insulator Must be a Bulk Three-Dimensional Topological Insulator
• Topological insulators in the quaternary chalcogenide compounds and ternary famatinite compounds
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• Topological Insulators Avoid the Parity Anomaly
• Many-body generalization of the Z2 topological invariant for the quantum spin Hall effect
• Excitonic condensation in a double-layer graphene system
• Dual topology in Jacutingaite Pt${}_2$HgSe${}_3$
• The Noncommutative Index Theorem and the Periodic Table for Disordered Topological Insulators and Superconductors
• On the topological immunity of corner states in two-dimensional crystalline insulators
• Heavy surface state in a possible topological Kondo insulator: Magneto-thermoelectric transport on the (011)-plane of SmB${}_6$
• Hexagonal warping on optical conductivity of surface states in Topological Insulator Bi_{2}Te_{3}
• Conformal Field Theory on the Fermi Surface
• Stabilization of Quantum Spin Hall Effect by Designed Removal of Time-Reversal Symmetry of Edge States
• Time reversal symmetry breaking superconductivity in topological materials
• Andreev spectroscopy and surface density of states for a three-dimensional time-reversal invariant topological superconductor
• Josephson and proximity effects on the surface of a topological insulator
• Low-velocity anisotropic Dirac fermions on the side surface of topological insulators
• Junction between surfaces of two topological insulators
• Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices
• 2D and 3D topological insulators with isotropic and parity-breaking Landau levels
• Devices with electrically tunable topological insulating phases
• Topological Insulator in the Presence of Spatially Correlated Disorder
• Linear magnetoresistance in HgTe quantum wells
• Topological Magnetic Insulators with Corundum Structure
• Topological non-linear $\sigma$-model, higher gauge theory, and a realization of all 3+1D topological orders for boson systems
• The $Z_2$ Index of Disordered Topological Insulators with Time Reversal Symmetry
• Excess charges as a probe of one-dimensional topological crystalline insulating phases
• Strong Correlation Effects on Topological Quantum Phase Transitions in Three Dimensions
• Spin-Charge Locking and Tunneling into a Helical Metal
• CPT theorem and classification of topological insulators and superconductors
• High-Dimensional Topological Insulators with Quaternionic Analytic Landau Levels
• Disorder enabled band structure engineering of a topological insulator surface
• Scattering from Surface Step Edges in Strong Topological Insulators
• Finite size effects on topological interface states in one-dimensional scattering systems
• Generic coexistence of Fermi arcs and Dirac cones on the surface of time-reversal invariant Weyl semimetals
• Tunable quantum spin Hall effect in double quantum wells
• Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO${}_3$
• Antiferroelectric topological insulators in orthorhombic $A$MgBi compounds ($A=$ Li, Na, K)
• Coexisting edge states and gapless bulk in topological states of matter
• Symmetry-protected Topological Phases at Finite Temperature
• A phase diagram for a topological Kondo insulating system
• Topologically non-trivial magnon bands in artificial square spin ices subject to Dzyaloshinskii-Moriya interaction
• Helical Liquids in Semiconductors
• Nonvolatile ferroelectric control of topological states in 2D heterostructures
• The rhombohedral Sb2Se3 is also an intrinsic topological insulator
• High Chern number quantum anomalous Hall phases in graphene ribbons with Haldane orbital coupling
• Weak (anti-)localization in doped Z_2-topological insulator
• The non-commutative n-th Chern number
• Bulk metals with helical surface states
• Instabilities of Weyl-loop semi-metals
• Spin connection and boundary states in a topological insulator
• Topological insulators with SU(2) Landau levels
• Effect of Strong Disorder in a 3-Dimensional Topological Insulator: Phase Diagram and Maps of the Z2 Invariant
• Self-organized pseudo-graphene on grain boundaries in topological band insulators
• Canonical magnetic insulators with isotropic magnetoelectric coupling
• Sublattice ordering in a dilute ensemble of defects in graphene
• Interaction effects on topological phase transitions via numerically exact quantum Monte Carlo calculations
• Chiral symmetry on the edge of 2D symmetry protected topological phases
• Coupled wire model of symmetric Majorana surfaces of topological superconductors
• Unusual non saturating Giant Magneto-resistance in single crystalline Bi2Te3 topological insulator
• Observation of Fermi-energy dependent unitary impurity resonances in a strong topological insulator Bi2Se3 with scanning tunneling spectroscopy
• Perfectly conducting channel on the dark surface of weak topological insulators
• Microscopic Realization of 2-Dimensional Bosonic Topological Insulators
• Composite Particle Theory of Three-dimensional Gapped Fermionic Phases: Fractional Topological Insulators and Charge-Loop Excitation Symmetry
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Comparison of Sn-doped and nonstoichiometric vertical-Bridgman-grown crystals of the topological insulator Bi2Te2Se
• Three dimensional Symmetry Protected Topological Phase close to Antiferromagnetic Neel order
• Quasiparticle Interference on the Surface of Topological Crystalline Insulator Pb(1-x)Sn(x)Se
• Bulk Fermi surface of charge-neutral excitations in SmB6 or not: a heat-transport study
• Electronic structure near an impurity and terrace on the surface of a 3-dimensional topological insulator
• Understanding Bulk Defects in Topological Insulators from Nuclear-Spin Interactions
• Narrowing of topological bands due to electronic orbital degrees of freedom
• Magnetic Instability on the Surface of Topological Insulators
• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides
• Effect of bulk charged impurities on the bulk and surface transport in three-dimensional topological insulators
• Three-dimensional topological magnon systems
• Gauge-field fluctuations in 3D topological Mott insulators
• Theory of topological quantum phase transitions in 3D noncentrosymmetric systems
• Topological septet pairing with spin-$\frac{3}{2}$ fermions -- high partial-wave channel counterpart of the ${}^3$He-B phase
• Surface-to-bulk scattering in topological insulator films
• Probing the wavefunction of the surface states in Bi${}_2$Se${}_3$ topological insulator: a realistic tight-binding approach
• Is a color superconductor topological?
• Spin Hall effect in the kagome lattice with Rashba spin-orbit interaction
• Rotational Isotropy Breaking as Proof for Spin-polarized Cooper Pairs in the Topological Superconductor CuxBi2Se3
• Quantum transport in disordered systems under magnetic fields: A study based on operator algebras
• $U(1)\times U(1)$ Symmetry Protected Topological Order in Gutzwiller Wave Functions
• Disorder Effects in Topological States -- Brief Review of the Recent Developments
• Existence of zero-energy impurity states in different classes of topological insulators and superconductors and their relation to topological phase transitions
• Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals
• Notes on topological insulators
• Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions
• ${\mathbb{Z}}_2$ invariants of topological insulators as geometric obstructions
• Tenfold Topology of Crystals: Unified classification of crystalline topological insulators and superconductors
• Anyonic entanglement renormalization
• End states in a 1-D topological Kondo insulator
• qeirreps: an open-source program for Quantum ESPRESSO to compute irreducible representations of Bloch wavefunctions
• Ambipolar transport in bulk crystals of a topological insulator by gating with ionic liquid
• Realizing Hopf Insulators in Dipolar Spin Systems
• 1/4 is the new 1/2 when topology is intertwined with Mottness
• Pressure-induced quantum phase transitions in topological insulator YbB6
• Systematic generation of the cascade of anomalous dynamical first and higher-order modes in Floquet topological insulators
• Topological properties of multi-terminal superconducting nanostructures: effect of a continuous spectrum
• Topological phases in Iridium oxide superlattices: quantized anomalous charge or valley Hall insulators
• Models of three-dimensional fractional topological insulators
• Probing surface states of topological insulator: Kondo effect and Friedel oscillation under magnetic field
• Induced spin texture in semiconductor/topological insulator heterostructures
• Laser-irradiated Kondo insulators : Controlling Kondo effect and topological phases
• Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
• Ripple modulated electronic structure of a 3D topological insulator
• Finite-size and composition-driven topological phase transition in (Bi${}_{1-x}$In${}_x$)${}_2$Se${}_3$ thin films
• Spin Helix of Magnetic Impurities in Two-dimensional Helical Metal
• Exactly soluble local bosonic cocycle models, statistical transmutation, and simplest time-reversal symmetric topological orders in 3+1D
• Graphene-based heterojunction between two topological insulators
• Linear response theory of interacting topological insulators
• Topological phase transitions driven by magnetic phase transitions in FexBi2Te3 (0 < x < 0.1) single crystals
• Topological invariant in three-dimensional band insulators with disorder
• Square-root topological phase with time-reversal and particle-hole symmetry
• Monopole Current and Unconventional Hall Response on Topological Insulator
• Quantum many-body topology of quasicrystals
• Spin Susceptibility and Helical Magnetic Orders at the Edges/Surfaces of Topological Insulators Due to Fermi Surface Nesting
• Quantum Anomalous Hall Effect in Kagome Ice
• An isolated Dirac cone on the surface of ternary tetradymite-like topological insulators
• Robust topological surface states of Bi2Se3 thin films on amorphous SiO2/Si substrate and a large ambipolar gating effect
• Long-range interaction induced phases in Weyl semimetals
• Room-Temperature Topological Phase Transition in Quasi-One-Dimensional Material Bi${}_4$I${}_4$
• Experimental realization of two-dimensional weak topological insulators
• Coulomb instabilities of 3D higher-order topological insulators
• Fluctuation-induced torque on a topological insulator out of thermal equilibrium
• Scaling Theory of ${\mathbb{Z}}_2$ Topological Invariants
• Transferring MBE-grown topological insulator films to arbitrary substrates and Metal-insulator transition via Dirac gap
• Topological Insulators and Quantum Spin Liquids
• Topological confinement in graphene bilayer quantum rings
• Staggered grid leap-frog scheme for the (2+1)D Dirac equation
• Lieb-Schultz-Mattis theorems for symmetry protected topological phases
• Higher-order topological insulators in antiperovskites
• Studies on the origin of the interfacial superconductivity of Sb2Te3/Fe1+yTe heterostructures
• Bridging Fermionic and Bosonic Short Range Entangled States
• Non-fragile superconductivity with nodes in the superconducting topological insulator CuxBi2Se3: Zeeman orbital field and non-magnetic impurities
• Induced spectral gap and pairing correlations from superconducting proximity effect
• Manifestly gauge independent formulations of the Z2 invariants
• Mesoscopic transport in two-dimensional topological insulators
• Symmetry-protected topological states for interacting fermions in alkaline-earth-like atoms
• Unconventional proximity-induced superconductivity in bilayer systems
• Topological Insulators and Superconductors from String Theory
• Detecting Perfect Transmission in Josephson Junctions on the Surface of Three Dimensional Topological Insulators
• Detection of Majorana edge states in topological superconductors through the non-Fermi-liquid effects induced in an interacting quantum dot
• Dimensional crossover and cold-atom realization of topological Mott insulators
• Surface states on a topologically non-trivial semimetal: The case of Sb(110)
• Spin-directed network model for the surface states of weak three-dimensional ${\mathbb{Z}}_2^{}$ topological insulators
• Piezoelectricity and Topological Quantum Phase Transitions in Two-Dimensional Spin-Orbit Coupled Crystals with Time-Reversal Symmetry
• Probing topological transitions in HgTe/CdTe quantum wells by magneto-optical measurements
• Tunable thermopower in a graphene-based topological insulator
• Three-dimensional topological insulators: A review on host materials
• Quantum phase transition and fractional excitations in a topological insulator thin film with Zeeman and excitonic masses
• The Casimir effect in topological matter
• Engineering interaction-induced topological insulators in a $\sqrt{3}\times \sqrt{3}$ substrate-induced honeycomb superlattice
• Three Dimensional Z2 Topological Phases enriched by Time-Reversal Symmetry
• Topological boundary modes in jammed matter
• Electromagnetic spin polarization on the surface of topological insulator
• Optical response of a topological-insulator--quantum-dot hybrid interacting with a probe electric field
• Stability of surface states of weak ${\mathbb{Z}}_2$ topological insulators and superconductors
• Flux-fusion anomaly test and bosonic topological crystalline insulators
• Quantization and $2\pi$ Periodicity of the Axion Action in Topological Insulators
• An optimal topological spin pump
• Single-electron Transport in Graphene-like Nanostructures
• Topological Insulators and Superconductors from D-branes
• Theory of the random potential and conductivity at the surface of a topological insulator
• Interplay of Dirac fermions and heavy quasiparticles in solids
• Vortex Lattices in the Superconducting Phases of Doped Topological Insulators and Heterostructures
• Spin diffusion and magnetoresistance in ferromagnet/topological-insulator junctions
• Spin-polarized Majorana Bound States inside a Vortex Core in Topological Superconductors
• Mechanical Graphene
• Isotropic Landau levels of Dirac fermions in high dimensions
• Intrinsic Magnetic Topological Materials
• Topological Insulator and the $\theta$-vacuum in a system without boundaries
• Extended topological group structure due to average reflection symmetry
• Three-Dimensional Topological Insulator in a Magnetic Field: Chiral Side Surface States and Quantized Hall Conductance
• Gap closing and universal phase diagrams in topological insulators
• A Holographic Fractional Topological Insulator
• Casimir interaction between topological insulators with finite surface band gap
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Noncollinear twisted RKKY interaction on the optically driven SnTe(001) surface
• Antiferromagnetic topological insulators in cold atomic gases
• Topological insulators based on HgTe
• Multifractal nature of the surface local density of states in three-dimensional topological insulators with magnetic and nonmagnetic disorder
• Carrier density dependence of the magnetic properties in iron-doped Bi2Se3 topological insulator
• A new exotic state in an old material: A tale of Samarium Hexaboride
• Three-dimensional topological phases in a layered honeycomb spin-orbital model
• Direct observation of decoupled Dirac states at the interface between topological and normal insulators
• Spin-textures, Berry's phase and Quasiparticle Interference in Bi2Te3: A Topological Insulator with Warped Surface States
• Tailoring the electronic texture of a topological insulator via its surface orientation
• Quantum criticality at the Chern-to-normal insulator transition
• Enhancement of crossed Andreev reflection in normal-superconductor-normal junction of thin topological insulator
• Globally symmetric topological phase: from anyonic symmetry to twist defect
• Topological charge pumping effect by the magnetization dynamics on the Surface of Three-Dimensional Topological Insulators
• Short-Range Entangled Bosonic States with Chiral Edge Modes and $T$-duality of Heterotic Strings
• Spin Chern Pumping from the Bulk of Two-Dimensional Topological Insulators
• Systematic Construction of tight-binding Hamiltonians for Topological Insulators and Superconductors
• Gapless edge states of BF field theory and translation-symmetric Z2 spin liquids
• Spin injection into a metal from a topological insulator
• Formation and detection of Majorana modes in quantum spin Hall trenches
• Electronic properties of SnTe-class topological crystalline insulator materials
• Correlation effects in pyrochlore iridate thin films grown along the $[111]$ direction
• Berry Phase and Topology in Ultrastrongly Coupled Quantum Light-Matter Systems
• Anomalous galvanomagnetism, cyclotron resonance and microwave spectroscopy of topological insulators
• Unification of topological invariants in Dirac models
• Spin-orbit interaction and Dirac cones in d orbital noble metal surface states
• Signatures of Topological Phonons in Superisostatic Lattices
• Synthetic Kramers pair in phononic elastic plates and helical edge states on a dislocation interface
• A Topological Spin Chern Pump
• Holographic fractional topological insulators in 2+1 and 1+1 dimensions
• Edge states of a three-dimensional topological insulator
• No-go theorem for topological insulators and sure-fire recipe for Chern insulators
• Magnetic order on a topological insulator surface with warping and proximity-induced superconductivity
• Two-dimensional heavy fermions on the strongly correlated boundaries of Kondo topological insulators
• Symmetries as the guiding principle for flattening bands of Dirac fermions
• Electronic properties of Bi${}_2$Se${}_3$ dopped by $3d$ transition metal (Mn, Fe, Co, or Ni) ions
• Topological meaning of Z${}_2$ numbers in time reversal invariant systems
• Transition from insulating to metallic phase induced by in-plane magnetic field in HgTe quantum wells
• Chiral Dirac-like fermion in spin-orbit-free antiferromagnetic semimetals
• Topological Phase Transition in Quantum Heat Engine Cycles
• Topological Insulator Magnetic Tunnel Junctions: Quantum Hall Effect and Fractional Charge via Folding
• Interaction and disorder effects in 3D topological insulator thin films
• Unified description of Dirac electrons on a curved surface of topological insulators
• A New Method for Characterizing Bulk and Surface Conductivities of Three-Dimensional Topological Insulators: Inverted Resistance Measurements
• Transport across a junction of topological insulators and a superconductor
• Topological classification of Higher-order topological phases with nested band inversion surfaces
• Photoemission Circular Dichroism and Spin Polarization of the Topological Surface States in Ultrathin Bi2Te3 Films
• The Z_2 network model for the quantum spin Hall effect: two-dimensional Dirac fermions, topological quantum numbers, and corner multifractality
• Generation of higher-order topological insulators using periodic driving
• Two dimensional Dirac fermions in the presence of long-range correlated disorder
• Finite-temperature topological phase transitions of spin-$j$ systems in Uhlmann processes: General formalism and experimental protocols
• Gate-controlled one-dimensional channel on the topological surface
• Disorder driven phase transitions in weak AIII topological insulators
• Criteria for realizing room temperature electrical transport applications of topological materials
• Detecting and identifying 2D symmetry-protected topological, symmetry-breaking and intrinsic topological phases with modular matrices via tensor-network methods
• Embedded Topological Insulators
• Floquet Engineering Ultracold Polar Molecules to Simulate Topological Insulators
• Critical surface band gap of repulsive Casimir interaction between three dimensional topological insulators at finite temperature
• Robustness of Topological Superconductivity in Proximity-Coupled Topological Insulator Nanoribbons
• Spontaneous topological transitions in a honeycomb lattice of exciton-polariton condensates due to spin bifurcations
• Topological phase transitions at finite temperature
• Topological insulators on a Mobius Strip
• Interacting surface states of three-dimensional topological insulators
• Topological winding properties of spin edge states in Kane-Mele graphene model
• Gate voltage controlled electronic transport through a ferromagnet/normal/ferromagnet junction on the surface of a topological insulator
• Discovery of several large families of Topological Insulator classes with backscattering-suppressed spin-polarized single-Dirac-cone on the surface
• Topological Invariants and Ground-State Wave Functions of Topological Insulators on a Torus
• Electrostatic effects and band-bending in doped topological insulators
• Quantum topological phase transitions in skyrmion crystals
• Dirac cones, Floquet side bands and theory of time resolved ARPES
• Fractionalized Fermi liquid on the surface of a topological Kondo insulator
• Entanglement Chern number for an extensive partition of a topological ground state
• Generalized quantization condition in topological insulator
• Hot-carrier transport and spin relaxation on the surface of topological insulator
• Reversed electromagnetic Vavilov-Čerenkov radiation in naturally existing magnetoelectric media
• Superuniversality of topological quantum phase transition and global phase diagram of dirty topological systems in three dimensions
• Symmetry protected topological orders of 1D spin systems with D2+T symmetry
• New gapped quantum phases for S=1 spin chain with D2h symmetry
• Dynamics of tunneling into nonequilibrium edge states
• The noncommutative Kubo Formula: Applications to Transport in Disordered Topological Insulators with and without Magnetic Fields
• T-Duality of Topological Insulators
• Continuum Theory of Edge States of Topological Insulators: Variational Principle and Boundary Conditions
• The Bulk-Edge Correspondence in Three Simple Cases
• Topological phase transitions and universality in the Haldane-Hubbard model
• Two dimensional Symmetry Protected Topological Phases with PSU(N) and time reversal symmetry
• Electromagnetic and thermal responses in topological matter: topological terms, quantum anomalies and D-branes
• Mott scattering at the interface between a metal and a topological insulator
• Quantum capacitance of an ultrathin topological insulator film in a magnetic field
• Ground state degeneracy of non-Abelian topological phases from coupled wires
• Helical edge states in multiple topological mass domains
• Dynamic process and Uhlmann process: Incompatibility and dynamic phase of mixed quantum states
• The Mott transition as a topological phase transition
• Time-reversal-invariant topological superconductivity in n-doped BiH
• Boundary Topological Superconductors
• A Strongly-Interacting Dirac Liquid on the Surface of a Topological Kondo Insulator
• Dimensional crossover of transport characteristics in topological insulator nanofilms
• One-dimensional topological insulator: a model for studying finite-size effects in topological insulator thin films
• Designer Meron Lattice on the Surface of a Topological Insulator
• Engineering Floquet topological phases using elliptically polarized light
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• Generalized Slater-Pauling rule for the inverse Heusler compounds
• Effect of disorder on 2D topological merging transition from a Dirac semi-metal to a normal insulator
• Characterization of edge states in perturbed honeycomb structures
• Finite Size Effects of the Surface States in a Lattice Model of Topological Insulator
• Chiral Dirac fermion in a collinear antiferromagnet
• ${}^{77}$Se nuclear magnetic resonance of topological insulator Bi${}_2$Se${}_3$
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Topological Gapless Phases in Non-Symmorphic Antiferromagnets
• Prediction of topological insulating behavior in Hg2CuTi-type Heusler compounds from first principles
• Universal Relation among Many-Body Chern Number, Rotation Symmetry, and Filling
• Dynamics of domain-wall Dirac fermions on a topological insulator: a chiral fermion beam splitter
• In-Plane Magnetoresistance on the Surface of Topological Insulator
• Free and Interacting Short-Range Entangled Phases of Fermions: Beyond the Ten-Fold Way
• Space group constraints on weak indices in topological insulators
• Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
• Topology of the planar phase of superfluid ${}^3$He and bulk-boundary correspondence for three dimensional topological superconductors
• Topological Insulator in an Atomic Liquid
• Thermoelectric transport of perfectly conducting channels in two- and three-dimensional topological insulators
• Composite Dirac Semimetal
• Modeling Near-Surface Bound Electron States in Three-Dimensional Topological Insulator: Analytical and Numerical Approaches
• Giant mesoscopic spin Hall effect on surface of topological insulator
• Aharonov Bohm effect in 2D topological insulator
• Organizing symmetry-protected topological phases by layering and symmetry reduction: a minimalist perspective
• Doping of Bi2Te3 using electron irradiation
• Characterizing the weak topological properties: Berry phase point of view
• Quantum Anomalous Parity Hall Effect in Magnetically Disordered Topological Insulator Films
• Topological response theory of doped topological insulators
• Bilayer Graphene as a platform for Bosonic Symmetry Protected Topological States
• Viscous Maxwell-Chern-Simons theory for topological electromagnetic phases of matter
• Topological response in ferromagnets
• Phase transitions in a holographic multi-Weyl semimetal
• Impurity bound states as detectors of topological band structures revisited
• A Non-Commutative Formula for the Isotropic Magneto-Electric Response
• Equality of bulk wave functions and edge correlations in topological superconductors: A spacetime derivation
• Folding approach to topological orders enriched by mirror symmetry
• Homotopical Foundations of Parametrized Quantum Spin Systems
• Bulk band inversion and surface Dirac cones in LaSb and LaBi : Prediction of a new topological heterostructure
• Partition Functions and Stability Criteria of Topological Insulators
• Inherited Weak Topological Insulator Signatures in Topological Hourglass Semimetal Nb3XTe6 (X = Si, Ge)
• Engineered Near-Perfect Back-Scattering on Surface of Topological Insulator with Non-Magnetic Impurities
• Anomalously small resistivity and thermopower of strongly compensated semiconductors and topological insulators
• Interface symmetry and spin control in topological insulator-semiconductor heterostructures
• Moving and merging of Dirac points on a square lattice and hidden symmetry protection
• SmO thin films: a flexible route to correlated flat bands with nontrivial topology
• Phase degree of freedom and topology in multiple-$Q$ spin textures
• Electron spin dynamics of two-dimensional layered materials
• Dynamical Piezomagnetic Effect in Time-Reversal Invariant Weyl Semimetals with Axionic Charge-Density Waves
• Boundary edge networks induced by bulk topology
• Sudden gap-closure across the topological phase transition in Bi${}_{2-x}$In${}_x$Se${}_3$
• A Topological SQUIPT based on helical edge states in proximity to superconductors
• Nonlinear Landauer formula: Nonlinear response theory of disordered and topological materials
• Two-dimensional weak-type topological insulators in inversion symmetric crystals
• Topological insulators and topological non-linear sigma models
• Weak antilocalization in (111) thin films of a topological crystalline insulator SnTe
• Topological Edge and Interface states at Bulk disorder-to-order Quantum Critical Points
• Exactly Solvable Model for Two Dimensional Topological Superconductor
• PYATB: An Efficient Python Package for Electronic Structure Calculations Using Ab Initio Tight-Binding Model
• Magnetic end-states in a strongly-interacting one-dimensional topological Kondo insulator
• Quantum impurity coupled to Majorana edge fermions
• Quasiclassical Treatment and Odd-parity/Triplet Correspondence in Topological Superconductors
• Crystalline topological Dirac semimetal phase in rutile structure ${\beta }^{\prime }$-PtO${}_2$
• Topological surface states in strained Dirac semimetal thin films
• Anomalous Quasiparticle Symmetries and Non-Abelian Defects on Symmetrically Gapped Surfaces of Weak Topological Insulators
• Nanoscale $\beta$-Nuclear Magnetic Resonance Depth Imaging of Topological Insulators
• A Monopole Mining Method for High Throughput Screening Weyl Semimetals
• Classification of "Quaternionic" Bloch-bundles: Topological Quantum Systems of type AII
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Hinge mode dynamics of periodically driven higher-order Weyl semimetals
• Effects of Defects and Dephasing on Charge and Spin Currents in Two-Dimensional Topological Insulators
• Quantum Corrals and Quantum Mirages on the Surface of a Topological Insulator
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Dimerization-induced topological superconductivity in a Rashba nanowire
• Strain-induced topological transition in SrRu${}_2$O${}_6$ and CaOs${}_2$O${}_6$
• Theory of weak symmetry breaking of translations in ${\mathbb{Z}}_2$ topologically ordered states and its relation to topological superconductivity from an exact lattice ${\mathbb{Z}}_2$ charge-flux attachment
• Magnetic skyrmion crystal at a topological insulator surface
• Delocalization of boundary states in disordered topological insulators
• Spin- and angle-resolved photoemission on the topological Kondo Insulator candidate: SmB6
• Visualizing a Bosonic Symmetry Protected Topological Phase in an Interacting Fermion Model
• Study of superfluid ${}^3$He under nanoscale confinement. A new approach to the investigation of superfluid ${}^3$He films
• Dirac fermions at high-index surfaces of bismuth chalcogenide topological insulator nanostructures
• Interface Metallic States between a Topological Insulator and a Ferromagnetic Insulator
• Topological corner modes in a brick lattice with nonsymmorphic symmetry
• Quantum Hall Effect in Thin Films of Three-Dimensional Topological Insulators
• Momentum-Space Spin Texture in a Topological Superconductor
• Topologically Invariant Double Dirac States in Bismuth based Perovskites: Consequence of Ambivalent Charge States and Covalent Bonding
• Chiral Flow in One-dimensional Floquet Topological Insulators
• Sondheimer Oscillation as a Fingerprint of Surface Dirac Fermions
• Quantum Spin Hall Effect in Graphene Nanoribbons: Effect of Edge Geometry
• Dislocation Majorana zero modes in perovskite oxide 2DEG
• Dynamic bulk-boundary correspondence for anomalous Floquet topology
• Bulk-boundary correspondance for Sturmian Kohmoto like models
• Spontaneous gap generation on the surface of weakly interacting topological insulators using nonmagnetic impurities
• Interaction-enhanced magnetically ordered insulating state at the edge of a two-dimensional topological insulator
• Cancellation of quantum anomalies and bosonization of three-dimensional time-reversal symmetric topological insulators
• Modification of transition radiation by three-dimensional topological insulators
• Stabilization of Topological Insulator Emerging from Electron Correlations on Honeycomb Lattice and Its Possible Relevance in Twisted Bilayer Graphene
• An infinite family of 3d Floquet topological paramagnets
• Embedded Topological Semimetals
• Anomalous Floquet topological crystalline insulators
• Raman scattering in correlated thin films as a probe of chargeless surface states
• Line defects in Three dimensional Symmetry Protected Topological Phases
• Chiral topological insulating phases from three-dimensional nodal loop semimetals
• Three-Dimensional Fractional Topological Insulators in Coupled Rashba Layers
• Z${}_2$ nontrivial topology of rare-earth binary oxide superconductor
• Transport properties of spin-triplet superconducting monolayer $Mo{S}_2$
• Finite-size Topology
• Dynamical characterization of Weyl nodes in Floquet Weyl semimetal phases
• Phase-coherent transport in catalyst-free vapor phase deposited Bi${}_2$Se${}_3$ crystals
• Metallic Surface States Probed Within the Microwave Skin Depth of the Putative Topological Insulator YBiPt Compound
• Local formula for the $Z_2$ invariant of topological insulators
• Gauge-theoretic invariants for topological insulators: A bridge between Berry, Wess-Zumino, and Fu-Kane-Mele
• Electronic structure of a Si-containing topological Dirac semimetal CaAl2Si2
• Impact of high-frequency pumping on anomalous finite-size effects in three-dimensional topological insulators
• Spatially resolved Landau level spectroscopy of the topological Dirac cone of bulk-type Sb2Te3(0001): potential fluctuations and quasiparticle lifetime
• Kinetic magnetoelectric effect in topological insulators
• Quench Dynamics of Topological Maximally-Entangled States
• Josephson effect in normal and ferromagnetic topological insulator planar, step and edge junctions
• Majorana edge magnetization in the Kitaev honeycomb model
• Symmetry protected weak topological phases in a superlattice
• Twisted magnetic topological insulators
• Higher-order topological semimetals and nodal superconductors with an order-two crystalline symmetry
• Spin Conductance and Spin Conductivity in Topological Insulators: Analysis of Kubo-like terms
• Imaging topologically protected transport with quantum degenerate gases
• Abelian and non-abelian anyons in integer quantum anomalous Hall effect and topological phase transitions via superconducting proximity effect
• Variational Monte Carlo Method in the Presence of Spin-Orbit Interaction and Its Application to the Kitaev and Kitaev-Heisenberg Model
• Irreducible Projective Representations and Their Physical Applications
• Topological nature of higher-order hinge states revealed by spin transport
• Fractional Spin Hall Effect in Atomic Bose Gases
• Topological Modes in One Dimensional Solids and Photonic Crystals
• Edge stability and edge quantum criticality in 2D interacting topological insulators
• Aharonov-Bohm oscillations in the local density of topological surface states
• Anomalous localization at the boundary of an interacting topological insulator
• An edge index for the Quantum Spin-Hall effect
• Topological Dipole Conserving Insulators and Multipolar Responses
• Searching for two-dimensional Weyl superconductors in heterostructures
• Stability of Unconventional Superconductivity on Surfaces of Topological Insulators
• Spin polarized STM spectra of Dirac Fermions on the surface of a topological insulator
• Stability of entanglement-spectrum crossing in quench dynamics of one dimensional gapped free-fermion systems
• Transmission through a potential barrier in Luttinger liquids with a topological spin gap
• Geometry of reduced density matrices for symmetry-protected topological phases
• Interaction effects on almost flat surface bands in topological insulators
• Cataloging topological phases of $N$-stacked Su-Schrieffer-Heeger chains by a systematic breaking of symmetries
• Antisymmetry: Fundamentals and Applications
• Kondo screening by the surface modes of a strong topological insulator
• Substrate-Independent Catalyst-Free Synthesis of High-Purity Bi2Se3 Nanostructures
• Translation invariant topological superconductors on lattice
• Polariton vortex Chern insulator
• Persistence of Monoclinic Crystal Structure in Three-Dimensional Second-Order Topological Insulator Candidate 1T'-MoTe2 Thin Flake without Structural Phase transition
• Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
• Electronic Structure Examination on the Topological Properties of CaMnSb${}_2$ by Angle-Resolved Photoemission Spectroscopy
• Time-reversal Invariant SU(2) Hofstadter Problem in Three Dimensional Lattices
• Opposite current-induced spin polarizations in bulk-metallic Bi2Se3 and bulk-insulating Bi2Te2Se topological insulator thin flakes
• Topological insulators in random potentials
• Topologically distinct atomic insulators
• Topological Corner States in Graphene by Bulk and Edge Engineering
• Field-angle-dependent low-energy excitations around a vortex in the superconducting topological insulator CuxBi2Se3
• Momentum-Space Electromagnetic Induction in Weyl Semimetals
• Quantum transport evidence of the boundary states and Lifshitz transition in Bi${}_4$Br${}_4$
• Spontaneous breaking of time-reversal symmetry in topological insulators
• Density Waves Instability and a Skyrmion Lattice on the Surface of Strong Topological Insulators
• Theory of inplane magnetoresistance in two-dimensional massless Dirac fermion system
• First-order quantum phase transition in three-dimensional topological band insulators
• Compass and Kitaev models -- Theory and Physical Motivations
• Aspects of finite electrodynamics in D=3 dimensions
• Structural versus electronic distortions of symmetry-broken IrTe${}_2$
• Bulk superconductivity and non-trivial band topology analysis of Pb2Pd
• Ta2NiSe5: a candidate topological excitonic insulator with multiple band inversions
• Coalescence of multiple topological orders in quasi-one-dimensional bismuth halide chains
• Electric field modulation of topological order in thin film semiconductors
• Topological phase transitions with and without energy gap closing
• Skyrmion spin texture in ferromagnetic semiconductor-superconductor heterostructures
• Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• Interplay between altermagnetism and topological superconductivity on an unconventional superconducting platform
• Bifurcation of the Edge-State Width in the Two-Dimensional Topological Insulator
• Surface-state spin textures in strained bulk HgTe: strain-induced topological phase transitions
• Three-dimensional Topological Insulators and Bosonization
• Correlation Driven Topological Insulator-to-Weyl Semimetal Transition in Actinide System UNiSn
• Homotopic classification of band structures: Stable, fragile, delicate, and stable representation-protected topology
• Non-local order parameters for states with topological electromagnetic response
• Dirac Electrons on a Sharply Edged Surface of Topological Insulators
• Higgs-Confinement Transitions in QCD from Symmetry Protected Topological Phases
• Time-reversal invariant finite-size topology
• Approximate formula for the macroscopic polarization including quantum fluctuations
• Topological Proximity Effects in Graphene Nanoribbon Heterostructures
• Two-dimensional topological insulators in quantizing magnetic fields
• Low Energy Properties of the Kondo chain in the RKKY regime
• Dyon condensation in topological Mott insulators
• Edelstein and inverse Edelstein effects caused by the pristine surface states of topological insulators
• Translation symmetry-enriched toric code insulator
• Non-adiabatic bulk-surface oscillations in driven topological insulators
• Resonant Faraday and Kerr effects due to in-gap states on the surface of a topological insulator
• Model Hamiltonian for strongly-correlated systems: Systematic, self-consistent, and unique construction
• Magnetoelectric effect of a conducting sphere near a planar topological insulator
• Topological orders of monopoles and hedgehogs: From electronic and magnetic spin-orbit coupling to quarks
• Interacting weak topological insulators and their transition to Dirac semimetal phases
• Transport study of the wormhole effect in three-dimensional topological insulators
• Uhlmann phase of coherent states and the Uhlmann-Berry correspondence
• Topological energy gaps in the [111]-oriented InAs/GaSb and GaSb/InAs core-shell nanowires
• Transport through the network of topological channels in HgTe based quantum well
• Transport in magnetically doped topological insulators: Effects of magnetic clusters
• Quantum corrections in the Boltzmann conductivity of graphene and their sensitivity to the choice of formalism
• Glide Symmetry Protected Higher-Order Topological Insulators from Semimetals with butterfly-like Nodal Lines
• Unidirectional valley-contrasting photo-current in strained transition metal dichalcogenide monolayers
• Geometric phases of mixed quantum states: A comparative study of interferometric and Uhlmann phases
• Vortices and vortex states in Rashba spin-orbit-coupled condensates
• Self-consistent $\text{k}\cdot \text{p}$ calculations for gated thin layers of 3D Topological Insulators
• First-principles prediction of a new family of layered topological insulators
• Disorder effects on thermal transport on the surface of topological superconductors by the self-consistent Born approximation
• Connection topology of step edge state bands at the surface of a three dimensional topological insulator
• Coherent Magneto-Optical Effects in Topological Insulators: Excitation Near the Absorption Edge
• Cusps near Topological Phase Transitions: Signatures of Majorana fermions and interactions with fluctuations
• Atoms to topological electronic materials: A bedtime story for beginners
• Stability of zero energy Dirac touchings in the honeycomb Hofstadter problem
• First principles study of topological phase in chains of $3d$ transition metals
• Conductivity of a two-dimensional HgTe layer near the critical width: The role of developed edge states network and random mixture of $p$- and $n$-domains
• Robust Gapless Surface State against Surface Magnetic Impurities on (Bi${}_{0.5}$Sb${}_{0.5}$)${}_2$Te${}_3$ Evidenced by In Situ Magnetotransport Measurements
• Fragility of ${\mathcal{Z}}_2$ topological invariant characterizing triplet excitations in a bilayer kagome magnet
• Strain-induced topological phase transition at (111) SrTiO${}_3$-based heterostructures
• Superconducting proximity effect on a two-dimensional Dirac electron system
• Effects of short-ranged interactions on the Kane-Mele model without discrete particle-hole symmetry
• Tunable bulk photovoltaic effect in strained $\gamma$-GeSe
• Wannier Topology and Quadrupole Moments for a generalized Benalcazar-Bernevig-Hughes Model
• On exotic sphere fibrations, topological phases, and edge states in physical systems
• A Dirac-fermion approach and its application to design high Chern numbers in magnetic topological insulator multilayers
• Robustness of Gapless Interface State in a Junction of Two Topological Insulators
• Higher-Order Cellular Automata Generated Symmetry-Protected Topological Phases and Detection Through Multi-Point Strange Correlators
• Experimental signatures of 3d fractional topological insulators
• Plasmons in Two-Dimensional Topological Insulators
• Double Fe-impurity charge state in the topological insulator Bi${}_2$Se${}_3$
• Confining electrons on a topological insulator surface using potentials and a magnetic field
• Disordered topological metals
• Gapless interface states at the junction between two topological insulators
• DMPK Equation for the Edge Transport of Quantum Spin Hall Insulator
• Transport properties of band engineered p-n heterostructures of epitaxial Bi${}_2$Se${}_3$/(Bi${}_{1-x}$Sb${}_x$)${}_2$(Te${}_{1-y}$Se${}_y$)${}_3$ topological insulators
• Driving Topological Phases by Spatially Inhomogeneous Pairing Centers
• Superconducting Bi2Te: pressure-induced universality in the (Bi2)m(Bi2Te3)n series
• Singular Effects of Spin-Flip Scattering on Gapped Dirac Fermions
• Residual gas absorption effect on the electronic structure of Cr-doped Bi2Se3
• Transport through a disordered topological-metal strip
• Partial Charge Transfer and Absence of Induced Magnetization in EuS(111)/Bi${}_2$Se${}_3$ Heterostructures
• Single-Dirac-cone Z2 topological insulator phases in distorted Li2AgSb-class and related quantum critical Li-based spin-orbit compounds
• Multiple intermediate phases in the interpolating Aubry-André-Fibonacci model
• Hybridization of topological surface states with a flat band
• Delocalization of surface Dirac electrons in disordered weak topological insulators
• Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices
• Uhlmann quench and geometric dynamic quantum phase transition of mixed states
• Magnetoconductance signatures of chiral domain-wall bound states in magnetic topological insulators
• Topology of Generalized Spinors and Chiral Anomaly
• Structure of surface electronic states in strained mercury telluride
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids
• Classical spins in topological insulators
• Topological quantum transition driven by charge-phonon coupling in the Haldane Chern insulator
• Coulomb drag in topological insulator films
• Dirac fermion wave guide networks on topological insulator surfaces
• Quasi-One-Dimensional Higher-Order Topological Insulators
• Absence of helical surface states in bulk semimetals with broken inversion symmetry
• Topological Quantum Critical Points in Strong Coupling limits: Global Symmetries and Strongly Interacting Majorana Fermions
• Two-dimensional topological semimetal state in a nanopatterned semiconductor system
• Revealing topological Dirac fermions at the surface of strained HgTe thin films via Quantum Hall transport spectroscopy
• Textured Exciton Insulators
• Surface Step Defect in 3D Topological Insulators: Electric Manipulation of Spin and Quantum Spin Hall Effect
• Multiple crossing of Landau levels of two-dimensional fermions in double HgTe quantum wells
• Topological Quantum Criticality in Superfluids and Superconductors: Surface criticality, Thermal properties, and Lifshitz Majorana fields
• Signature of Anomalous Andreev bound states in magnetic Josephson junction of noncentrosymmetric superconductor on a topological insulator
• Suspension and Measurement of Graphene and Bi2Se3 Atomic Membranes
• A NOT operation on Majorana qubits with mobilizable solitons in an extended Su-Schrieffer-Heeger model
• Ground state of Ce${}_3$Bi${}_4$Pd${}_3$ unraveled by hydrostatic pressure
• Electromagnetic Response of Three-dimensional Topological Crystalline Insulators
• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• Effective model for massless Dirac electrons on a surface of weak topological insulators
• Skyrmion quantum numbers and quantized pumping in two dimensional topological chiral magnets
• Theory of Cross-correlated Electron-Magnon Transport Phenomena: Case of Magnetic Topological Insulator
• Protection of the surface states in topological insulators: Berry phase perspective
• Quantization of non-Abelian Berry phase for time reversal invariant systems
• Spin-triplet $f$-wave symmetry in superconducting monolayer $Mo{S}_2$
• New polarization rotation and exact TEM wave solutions in topological insulators
• Bulk cyclotron resonance in the topological insulator Bi2Te3
• Entanglement Chern number for three-dimensional topological insulators: Characterization by Weyl points of entanglement Hamiltonians
• Coulomb drag in topological materials
• The search for strong topological insulators
• Fractionalized Metals and Superconductors in Three Dimensions
• Majorana Zero-modes and Topological Phases of Multi-flavored Jackiw-Rebbi model
• Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
• Geometric Approach to 3D Interfaces at Strong Coupling
• Surface spectra of Weyl semimetals through self-adjoint extensions
• Plasmon modes in the magnetically doped Single Layer and Multilayers of Helical Metals
• Topological crystalline protection in a photonic system
• Spin Transport and Accumulation in 2D Weyl Fermion System
• Surfaces and Slabs of Fractional Topological Insulator Heterostructures
• Control of Edge Currents at a Ferromagnet - Triplet Superconductor Interface by Multiple Helical Majorana Modes
• Topological electronic bands in crystalline solids
• Quasiparticle states and quantum interference induce by magnetic impurities on a two-dimensional topological superconductor
• The weak side of strong topological insulators
• Spin-Orbit Coupling and Anomalous Angular-Dependent Magnetoresistance in the Quantum Transport Regime of PbS
• The tenfold way redux: Fermionic systems with $N$-body interactions
• Diagnosis of topological nodal lines with nontrivial monopole charge in the presence of rotation symmetries
• BaHgSn: A Dirac semimetal with surface hourglass fermions
• Hidden-symmetry-protected quantum pseudo-spin Hall effect in optical lattices
• Tight-Binding Model and Electronic Property of Dirac Nodal Line in Single-Component Molecular Conductor [Pt(dmdt)${}_2$]
• Impurity Effects on Superconductivity on Surfaces of Topological Insulators
• Optical intersubband properties of a core-shell semiconductor-topological insulator quantum dot described by $\theta$-Electrodynamics
• $Z_3$ and $(\times Z_3{)}^3$ symmetry protected topological paramagnets
• Chemical Gating of a Weak Topological Insulator: Bi14Rh3I9
• Hidden-symmetry-protected Z_2 topological insulator in a cubic lattice
• A bilayer Double Semion Model with Symmetry-Enriched Topological Order
• Metallic states beyond Tomonaga-Luttinger liquids in one dimension
• Influence of Helical Spin Structure on the Magnetoresistance of an Ideal Topological Insulator
• Topological quantum criticality from multiplicative topological phases
• Computing the ${\mathbb{Z}}_2$ Invariant in Two-Dimensional Strongly-Correlated Systems
• Three-dimensional topological insulators in the octahedron-decorated cubic lattice
• Tunneling between a topological superconductor and a Luttinger liquid
• Intrinsic surface dipole in topological insulators
• Structural, electronic and topological properties of 3D TmBi compound
• Hall and spin Hall viscosity ratio in 2d topological insulators
• Transformation of an energy spectrum and wave functions in the crossover from two- to three-dimensional topological insulator in HgTe quantum wells: long and thorny way
• Interplay between spin-orbit coupling and crystal-field effect in topological insulators
• On the path integral approach to quantum anomalies in interacting models
• An STM perspective on hexaborides: Surface states of the Kondo insulator SmB${}_6$
• Pressure-Driven Topological Phase Transition in the Yb Chalcogenides YbO and YbS
• $U(1)$ symmetry-enriched toric code
• Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points
• Transport and STM studies of hyperbolic surface states of topological insulators
• Electrified magnetic catalysis in three-dimensional topological insulators
• Strong spin-dephasing in a topological insulator - paramagnet heterostructure
• Nontrivial gapless electronic states at the stacking faults of weak topological insulators
• Nuclear magnetic relaxation rates of unconventional superconductivity in doped topological insulators
• Spin Berry phase in a helical edge state: Sz nonconservation and transport signatures
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• Fermionic Symmetry Protected Topological Phase Induced by Interactions
• Phase Diagram Structure of Topological Mott Transition for Zero-gap Semiconductors beyond Conventional Landau-Ginzburg-Wilson Scenario
• Topological Orders with Global Gauge Anomalies
• Nearly perfect spin-filtering in curved two-dimensional topological insulators
• Topological quantum memory interfacing atomic and superconducting qubits
• A topological Dirac insulator in a quantum spin Hall phase (experimental realization of a 3D Topological Insulator)
• Quantum transport through three-dimensional topological insulator p-n junction under magnetic field
• Interface currents and magnetization in singlet-triplet superconducting heterostructures: Role of chiral and helical domains
• Green's Function Method for Line Defects and Gapless Modes in Topological Insulators : Beyond Semiclassical Approach
• Thermoelectric properties of an ultra-thin topological insulator
• Magnon edge states in hardcore-Bose-Hubbard model
• Transport signatures of surface potentials on three-dimensional topological insulators
• Phonons and elasticity in critically coordinated lattices
• Interaction-induced phase transitions at topological quantum criticality of an extended Su-Schrieffer-Heeger model
• Ballistic charge transport in chiral-symmetric few-layer graphene
• Stability of Topological Insulators with Non-Abelian Edge Excitations
• Holographic classification of Topological Insulators and its 8-fold periodicity
• Manipulating quantum channels in weak topological insulator nanoarchitectures
• The competition between the intrinsic and Rashba spin-orbit coupling and effects of correlations on Rashba SOC-driven transitions in the Kane-Mele model
• Strong and Weak Three-Dimensional Topological Insulators Probed by Surface Science Methods
• Short-ranged interaction effects on $Z_2$ topological phase transitions
• Electron transport in a ferromagnetic/normal/ferromagnetic tunnel junction based on the surface of a topological insulator
• Zero-Energy State Localized near an Arbitrary Edge in Quadrupole Topological Insulators
• Landau levels in a topological insulator
• Spin-torque resonance due to diffusive dynamics at a surface of topological insulator
• Zener tunneling isospin Hall effect in HgTe quantum wells and graphene multilayers
• Electric and thermoelectric transport in graphene and helical metal in finite magnetic fields
• The stability of the fractional quantum Hall effect in topological insulators
• Weak topological insulating phases of hard-core-bosons on the honeycomb lattice
• Playing nonlocal games with phases of quantum matter
• Effect of Perturbative Hexagonal Warping on Quantum Capacitance in Ultra-Thin Topological Insulators
• Vavilov-Cherenkov radiation for parallel motion in three-dimensional topological insulators
• Transport in a thin topological insulator with potential and magnetic barriers
• Floquet topological phases on a honeycomb lattice using elliptically polarized light
• Topological band inversion in HgTe(001): surface and bulk signatures from photoemission
• The Stiefel--Whitney theory of topological insulators
• The Anomalous Hall Effect in Magnetic Topological Insulators
• Low temperature thermal transport at the interface of a topological insulator and a d-wave superconductor
• Generalizations of Berry phase and differentiation of purified state and thermal vacuum of mixed states
• Exact correlations in topological quantum chains
• Three-dimensional symmetry breaking topological matters
• Large Spontaneous Hall Effects in Chiral Topological Magnets
• Topological electronic properties of silicon
• A thermodynamic measure of the Magneto-electric coupling in the 3D topological insulator
• Dynamics of impurity in the environment of Dirac fermions
• Theory of metal-insulator transitions in graphite under high magnetic field
• Surface Spectral Function of Momentum-dependent Pairing Potentials in a Topological Insulator: Application to Cu${}_x$Bi${}_2$Se${}_3$
• Emergent Topology in Many-Body Dissipative Quantum Matter
• The Weyl-Mott point: topological and non-Fermi liquid behavior from an isolated Green's function zero
• Topological semimetals and insulators in three-dimensional honeycomb materials
• Ambipolar Electric Field Effect in Metallic Bi2Se3
• Topological insulators on fractal lattices: A general principle of construction
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Disorder and diffuse scattering in single-chirality (TaSe${}_4$)${}_2$I crystals
• Quantized thermal and spin transports of dirty planar topological superconductors
• Time-reversal invariant topological skyrmion phases
• Synchrotron-radiation studies of topological insulators
• Precise determination of critical points of topological phase transitions via shift current in two-dimensional inversion asymmetric insulators
• Refined Majorana phase diagram in topological insulator-superconductor hybrid system
• Unwinding of a one-dimensional topological superconductor
• Correlated Zak insulator in organic antiferromagnets
• Observation of trapped fractional charge and topological states at disclination defects in higher-order topological insulators
• Probing surface states exposed by crystal terminations at arbitrary orientations of three-dimensional topological insulators
• Disorder-induced density of states on the surface of a spherical topological insulator
• Detecting non-Abelian statistics of topological states on a chain of superconducting circuits
• Tunneling phase diagrams in anisotropic Multi-Weyl semimetals
• Topological Effect of Surface Plasmon Excitation in Gapped Isotropic Topological Insulator Nanowires
• Anomalous criticality near semimetal-to-superfluid quantum phase transition in a two-dimensional Dirac cone model
• Solvable lattice model for (2+1)D bosonic topological insulator
• Weak localization and Berry flux in topological crystalline insulators with a quadratic surface spectrum
• Discriminant indicator with generalized rotational symmetry
• Bosonic Integer Quantum Hall States without Landau Levels on Square Lattice
• Sorting and Routing Topologically Protected Edge States by their Valleys
• Electrical spin injection into graphene from a topological insulator in a van der Waals heterostructure
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Note on Green Function Formalism and Topological Invariants
• Quantum transport of Dirac fermions in HgTe gapless quantum wells
• A DFT based first-principles investigation of the physical properties of Bi2Te2Se topological insulator
• Interfacial Fermi Loops from Interfacial Symmetries
• First observation of spin-helical Dirac fermions and topological phases in undoped and doped Bi2Te3 demonstrated by spin-ARPES spectroscopy
• Edge Spin fractionalization in one-dimensional spin-$S$ quantum antiferromagnets
• Inter-surface interaction via phonon in three-dimensional topological insulator
• Nonlinear planar magnetotransport as a probe of the topology of surface states
• Weyl Semimetal and Nonassociative Nambu Geometry
• Doping-controlled surface conduction in topological insulators with warping effects
• Fidelity and variability in the interlayer electronic structure of the kagome superconductor CsV3Sb5
• Field Theoretic Aspects of Condensed Matter Physics: An Overview
• IrRep: symmetry eigenvalues and irreducible representations of ab initio band structures
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Effective field theory of topological insulator and the Foldy-Wouthuysen transformation
• Layer dependent topological phases and transitions in TaRhTe${}_4$: From monolayer and bilayer to bulk
• Hall effect of ferro/antiferromagnetic wallpaper fermions
• Optical conductivity of a topological system driven using a realistic pulse
• Boson-fermion duality in four dimensions
• Quasiparticle picture of topological phase transitions induced by interactions
• Topological phase diagram of the Haldane model on a Bishamon-kikko--honeycomb lattice
• On dimensions of (2+1)D abelian bosonic topological systems on non-orientable manifolds
• Color Superconductivity, Fermionic Quasinormal Modes in Reissner-Nordström-anti-de Sitter Spacetimes and Supersymmetry
• Topological phases of many-body non-Hermitian systems
• A toy model for quantum spin Hall effect
• Tuning the Chern number and Berry curvature with spin-orbit coupling and magnetic textures
• Non-trivial topological valence bands of common diamond and zinc-blende semiconductors
• Gauge-invariant cutoff for Dirac electron systems with a vector potential
• Topological Crystalline Metal in Orthorhombic Perovskite Iridates
• Arboreal Obstructed Atomic Insulating and Metallic Phases of Fermions
• Entropy Driven Inductive Response of Topological Insulators
• Topological defect-mediated corner states and higher-order bulk topology in a two-dimensional crystalline insulator
• Topological charge excitations and Green's function zeros in paramagnetic Mott insulators
• Redundant string symmetry-based error correction: Demonstrations on quantum devices
• SUSY design of smooth quantum rings in graphene
• Mixed-state geometric phases of coherent and squeezed spin states
• Effect of inplane electric field on magnetotransport in helical metal
• Magnon-mediated superconductivity on ferromagnetic wallpaper fermions
• Operator Formalism for Noncollinear Functionals in Multicollinear Approach
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Hopf Semimetals
• Non-divergent Chiral Charge Pumping in Weyl Semimetal
• Topological surface states hybridized with bulk states of Bi-doped PbSb2Te4 revealed in quasiparticle interference
• Topological Photonic Systems: Virtuous Platforms to Study Topological Quantum Matter
• Gauge Dynamics and Topological Insulators
• Tunable zero-energy Dirac and Luttinger nodes in a two-dimensional topological superconductor
• Non-necessity of band inversion process in 2D topological insulators for bulk gapless states and topological phase transitions
• Spin-orbit and impurity scattering in an integrable electron model: Exact results for dynamic correlations
• Unconventional band structure for a periodically gated surface of a three dimensional Topological Insulator
• Emergent topological mirror insulator in t2g-orbital systems
• Additional Evidence for the Surface Origin of the Peculiar Angular-Dependent Magnetoresistance Oscillations Discovered in a Topological Insulator Bi_{1-x}Sb_{x}
• Cyclotron Resonance in Topological Insulators: Non-Relativistic Effects
• The $Z_2$ Classification of Dimensional Reduced Hopf Insulators
• Anomalous Behaviour in the Magneto-Optics of a Gapped Topological Insulator
• Stability of the X-Y-phase of the two-dimensional C4 point group insulator
• A spin pump characterized by entanglement Chern numbers
• Engineering Dirac electrons emergent on the surface of a topological insulator
• Quantized frequency-domain polarization of driven phases of matter
• Interaction Approach to Anomalous Spin Texture in Warped Topological Insulators
• Tuning nodal line semimetals in trilayered systems
• Classical correspondence of the exceptional points in the finite non-Hermitian system
• Observation of novel interference patterns in Bi2-xFexTe3+d by Fourier transform scanning tunneling spectroscopy
• The magnetoelectric effect due to a semispherical capacitor surrounded by a spherical topologically insulating shell
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Modular Anomalies in (2+1) and (3+1)-D Edge Theories
• Analytical theory and possible detection of the $ac$ quantum spin Hall effect
• Robust nonequilibrium surface currents in the 3D Hofstadter model
• Network model for magnetic higher-order topological phases
• Dirac plasmon polaritons and magnetic modes in topological-insulator nanoparticles
• Exact modes, hybridization and polarization rotation of electromagnetic fields propagating in topological insulating slab
• Volkov-Pankratov states on the edge of a quantum spin Hall system
• Chiral Bosonic Topological Insulator on the Honeycomb Lattice with Anisotropic Interactions
• Weak topological insulators with step edges: Subband engineering and its effect on electron transport
• Surface states around a vortex in topological superconductors: Intersection of a surface and a vortex
• Local topological phase transitions in periodic condensed matter systems
• Uhlmann and scalar Wilczek-Zee phases of degenerate quantum systems
• Obstructed Atomic Insulators and Superfluids of Fermions Coupled to ${\mathbb{Z}}_2$ Gauge Fields
• Low-energy effective Hamiltonian and end states of an inverted HgTe nanowire
• Topological invariant for holographic Weyl-${\mathrm{Z}}_2$ semimetal
• Spin-orbit torque: Moving towards two-dimensional van der Waals heterostructures
• Crystalline finite-size topology
• Fragile dislocation modes in obstructed atomic topological phases
• Gapped energy spectra around the Dirac node at the surface of a 3D topological insulator in the presence of the time-reversal symmetry
• Topological phases protected by projective space-time inversion symmetry in alkaline-earth-metal-like atoms
• Spectroscopic footprints of quantum friction in nonreciprocal and chiral media
• Systematic Construction of Interfaces and Anomalous Boundaries for Fermionic Symmetry-Protected Topological Phases
• A Coherent Physics Picture of Topological Insulators at Single-Particle Level
• Finite-size scaling analysis of the conductivity of Dirac electrons on a surface of disordered topological insulators
• Bulk and surface electron scattering in disordered Bi${}_2$Te${}_3$ probed by quasiparticle interference
• Electronic Structure of the Dark Surface of the Weak Topological Insulator Bi14Rh3I9
• Unsupervised Learning of Symmetry Protected Topological Phase Transitions
• Short-ranged interaction effects on $Z_2$ topological phase transitions: The perturbative mean-field method
• Scattering states of a vortex in the proximity-induced superconducting state at the interface of a topological insulator and an s-wave superconductor
• "Self-Dual" Quantum Critical Point on the surface of $3d$ Topological Insulator
• Tuning the vertical location of helical surface states in topological insulator heterostructures via dual-proximity effects
• A non-perturbative expression for the transmission through a leaky chiral edge mode
• Electron scattering in a superlattice of line defects on the surface of topological insulators
• Landau levels on a surface of weak topological insulators
• Possible Spin-Density Wave on Fermi Arc of Edge State in Single-Component Molecular Conductors [Pt(dmdt)${}_2$] and [Ni(dmdt)${}_2$]
• The evaluation of non-topological components in Berry phase and momentum relaxation time in a gapped 3D topological insulator
• Topological phase transition based on the attractive Hubbard model
• Weak ${\mathbb{Z}}_2$ Supertopology
• Spectrum of the Vortex Bound States of the Dirac and Schrodinger Hamiltonian in the presence of Superconducting Gaps
• Signatures of Topological Phase Transition in 3d Topological Insulators from Dynamical Axion Response
• Anomaly non-renormalization in interacting Weyl semimetals
• Topology behind topological insulators
• Simple Models for All Topological Phases
• Piecewise-terminated spherical topological insulator as a virtual breadboard for Majorana circuitry
• Hidden chiral symmetry protected $\mathbb{Z}\oplus \mathbb{Z}$ topological insulators in a ladder dimer model
• Topological hard-core bosons on the honeycomb lattice
• Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
• Non-unique connection between bulk topological invariants and surface physics
• Theoretical study of X-ray absorption of three-dimensional topological insulator ${\mathrm{Bi}}_2{\mathrm{Se}}_3$
• Systematic study for two-dimensional $Z_2$ topological phase transitions at high-symmetry points in all layer groups
• Out-of-plane spin polarization of edge currents in Chern insulator with Rashba spin-orbit interaction
• Emergence of a weak topological insulator from the Bi${}_x$Se${}_y$ family and the observation of weak anti-localization
• Immutable quantized transport in Floquet chains
• Glide-resolved photoemission spectroscopy: Measuring topological invariants in nonsymmorphic space groups
• Signatures of Fractional Quantum Hall States in Topological Insulators
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings
• To See a World in a Grain of Sand -- The Scientific Life of Shoucheng Zhang
• Analytical solutions of topological surface states in a series of lattice models
• Electromagnetic response of the surface states of a topological insulator nanowire embedded within a resonator
• Hofstadter Butterflies in Topological Insulators
• Index theory and noncommutative geometry of topological insulator
• Momentum non-conservation in a scalar quantum field theory with a planar $\theta$ interface
• Sb doping effect on transport behavior in the topological insulator Bi2Se3
• The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model
• Equivalence class of Emergent Single Weyl fermion lattice models in 3 dimensions: gapless superconductors and superfluids versus chiral fermions
• Quantum anomalous Hall effect with high Chern number in two dimensional ferromagnets Ti2TeSO
• Topological energy pumping in a quasi-periodically driven four-level system
• Entanglement entropy as a probe of topological phase transitions
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Topological properties of domain walls in antiferromagnetic topological insulators
• Multiplicative Chern insulator
• Surface topological quantum criticality: Conformal manifolds and Discrete Strong Coupling Fixed Points
• Realizing attractive interacting topological surface fermions: A resonating TI- thin film hybrid platform
• Hydrodynamic theory of surface excitations of three-dimensional topological insulators
• Parafermionic representation of Potts-based cluster chain
• Interferometric Geometric Phases of $\mathcal{P}\mathcal{T}$-symmetric Quantum Mechanics
• Tensor network states for the description of quantum many-body systems
• Majorana Bound State leakage to impurity in Su-Schrieffer-Heeger-Rashba scenario