Three-Dimensional Topological Insulators

Abstract

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the material. They are the first known examples of topological order in bulk solids. We review the basic phenomena and experimental history, starting with the observation of topological insulator behavior in Bi${}_x$Sb${}_{1-x}$ by spin- and angle-resolved photoemission spectroscopy and continuing through measurements on other materials and by other probes. A self-contained introduction to the single-particle theory is then given, followed by the many-particle definition of a topological insulator as a material with quantized magnetoelectric polarizability. The last section reviews recent work on strongly correlated topological insulators and new effects that arise from the proximity effect between a topological insulator and a superconductor. While this article is not intended to be a comprehensive review of what is already a rather large field, we hope that it will serve as a useful introduction, summary of recent progress, and guideline to future directions.

53 pages, 9 figures, 1 table. Preprint version from June 2010 of invited article for Annual Review of Condensed Matter Physics. Final edited version will be published online c. January 2011

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Cited by in corpus (329)

• Maximally localized Wannier functions: Theory and applications
• Classification of topological quantum matter with symmetries
• Topological Materials: Weyl Semimetals
• Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Magnetometry with nitrogen-vacancy defects in diamond
• Correlated quantum phenomena in the strong spin-orbit regime
• Interface-Induced Phenomena in Magnetism
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• A topological crystalline insulator (TCI) phase via topological phase transition and crystalline mirror symmetry
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Symmetry Protected Topological phases of Quantum Matter
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
• Fermion Path Integrals And Topological Phases
• Discovery of Weyl fermion semimetals and topological Fermi arc states
• Topological and magnetic phases of interacting electrons in the pyrochlore iridates
• Topological semi-metals with line nodes and drumhead surface states
• Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
• Interacting topological insulators: a review
• Surface electronic structure of the topological Kondo insulator candidate correlated electron system SmB6
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• A classification of symmetry enriched topological phases with exactly solvable models
• Band geometry of fractional topological insulators
• Bulk-boundary correspondence of topological insulators from their Green's functions
• Interacting fermionic topological insulators/superconductors in three dimensions
• Boson topological insulators: A window into highly entangled quantum phases
• Classification of interacting electronic topological insulators in three dimensions
• A sudden collapse in the transport lifetime across the topological phase transition in $(B{i}_{1-x}I{n}_x{)}_{2}S{e}_3$
• Tunable Surface Conductivity in Bi2Se3 Revealed in Diffusive Electron Transport
• Cd3As2 is Centrosymmetric
• Symmetry protected topological phases from decorated domain walls
• Correlation effects in two-dimensional topological insulators
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Topological quantum materials from the viewpoint of chemistry
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Zoology of Fractional Chern Insulators
• Protected boundary states in gapless topological phases
• Topological phases protected by point group symmetry
• Exactly Soluble Model of a 3D Symmetry Protected Topological Phase of Bosons with Surface Topological Order
• Optical evidence for a Weyl semimetal state in pyrochlore Eu2Ir2O7
• Building crystalline topological phases from lower-dimensional states
• Quantum interference and Aharonov-Bohm oscillations in topological insulators
• First Principles Investigations of the Atomic, Electronic, and Thermoelectric Properties of Equilibrium and Strained Bi2Se3 & Bi2Te3, with van der Waals Interactions
• Topological insulators from complex orbital order in transition-metal oxides heterostructures
• Dual Dirac liquid on the surface of the electron topological insulator
• Symmetry Enforced Non-Abelian Topological Order at the Surface of a Topological Insulator
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• Kitaev-Heisenberg models for iridates on the triangular, hyperkagome, kagome, fcc, and pyrochlore lattices
• Gapped Symmetry Preserving Surface-State for the Electron Topological Insulator
• Electron-phonon Coupling on the Surface of the Topological Insulator Bi2Se3: Determined from Surface Phonon Dispersion Measurements
• Topological electronic structure and Weyl semimetal in the TlBiSe${}_2$ class of semiconductors
• A symmetry-respecting topologically-ordered surface phase of 3d electron topological insulators
• Quantum transport and two-parameter scaling at the surface of a weak topological insulator
• Bosonic topological insulator in three dimensions and the statistical Witten effect
• Types of topological surface states in nodal noncentrosymmetric superconductors
• Topological invariants and interacting one-dimensional fermionic systems
• Nonsymmorphic symmetry-required band crossings in topological semimetals
• First Principles Calculations for Topological Quantum Materials
• Shockley model description of surface states in topological insulators
• Magnetic orders and topological phases from f-d exchange in pyrochlore iridates
• Pseudo-electromagnetic fields in topological semimetals
• Theory of Kerr and Faraday rotations and linear dichroism in Topological Weyl Semimetals
• Damped Topological Magnons in the Kagomé-Lattice Ferromagnets
• Controllable thickness inhomogeneity and Berry-curvature-engineering of anomalous Hall effect in SrRuO3 ultrathin films
• Classification and Properties of Symmetry Enriched Topological Phases: A Chern-Simons approach with applications to Z2 spin liquids
• Topological Crystalline Insulators in Transition Metal Oxides
• Topologically protected flat zero-energy surface bands in non-centrosymmetric superconductors
• Gigantic surface life-time of an intrinsic topological insulator revealed via time-resolved (pump-probe) ARPES
• Heisenberg-Kitaev model on hyperhoneycomb lattice
• Weyl-link semimetals
• Branes And Supergroups
• Interaction of Phonons and Dirac Fermions on the Surface of Bi2Se3: A Strong Kohn Anomaly
• Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids
• Toward the intrinsic limit of topological insulator Bi2Se3
• Pressure-induced Topological Phase Transitions in Rock-salt Chalcogenides
• Quantum Phase Transition between Integer Quantum Hall States of Bosons
• Molecular Beam Epitaxial Growth of Bi2Te3 and Sb2Te3 Topological Insulators on GaAs (111) Substrates: A Potential Route to Fabricate Topological Insulator p-n Junction
• Theory of Magnetic Phase Diagrams in Hyperhoneycomb and Harmonic-honeycomb Iridates
• Time-resolved terahertz dynamics in thin films of the topological insulator Bi${}_2$Se${}_3$
• Non-trivial spin-texture of the coaxial Dirac cones on the surface of topological crystalline insulator SnTe
• Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions
• 2D layered transport properties from topological insulator Bi${}_2$Se${}_3$ single crystals and micro flakes
• Dislocation Non-Hermitian Skin Effect
• Thin topological insulator film in a perpendicular magnetic field
• Quantum phase transitions between bosonic symmetry protected topological phases in two dimensions: emergent $QE{D}_3$ and anyon superfluid
• 3D Dirac cone carrier dynamics in Na3Bi and Cd3As2
• Classification and construction of higher-order symmetry protected topological phases of interacting bosons
• Symmetry-protected Topological Phases, Generalized Laughlin Argument and Orientifolds
• Magnetic noise spectroscopy as a probe of local electronic correlations in two-dimensional systems
• Intermediate Coupling Model of the Cuprates
• Microscopic model for the boson integer quantum Hall effect
• Dirac-Fermion-Induced Parity Mixing in Superconducting Topological Insulators
• Surface vibrational modes of the topological insulator Bi${}_2$Se${}_3$ observed by Raman spectroscopy
• Structural and electronic properties of highly doped topological insulator Bi2Se3 crystals
• Dielectric anomalies and interactions in the 3D quadratic band touching Luttinger semimetal Pr${}_2$Ir${}_2$O${}_7$
• Revealing puddles of electrons and holes in compensated topological insulators
• Bulk invariants and topological response in insulators and superconductors with nonsymmorphic symmetries
• Interplay between topological insulators and superconductors
• Detecting two dimensional symmetry protected topological order in a ground state wave function
• Optical conductivity of three and two dimensional topological nodal line semimetals
• Continuous bulk and interface description of topological insulators
• Growth, characterization, and transport properties of ternary (Bi1-xSbx)2Te3 topological insulator layers
• Non-Kondo-like Electronic Structure in the Correlated Rare-Earth Hexaboride YbB${}_6$
• Topological spinon semimetals and gapless boundary states in three dimensions
• Chiral Spin Mode on the Surface of a Topological Insulator
• Breakdown of Three-dimensional Dirac Semimetal State in pressurized Cd3As2
• Strain-induced quantum topological phase transitions in Na3Bi
• Diffusive transport in Weyl semimetals
• Revealing Quantum Geometry in Nonlinear Quantum Materials
• 2D and 3D topological insulators with isotropic and parity-breaking Landau levels
• Linear magnetoresistance in HgTe quantum wells
• Anomalous low-temperature enhancement of supercurrent in topological-insulator nanoribbon Josephson junctions: evidence for low-energy Andreev bound states
• Topological superconductivity in quasicrystals
• Oscillatory surface dichroism of an insulating topological insulator Bi2Te2Se
• Observation of Chiral Surface Excitons in a Topological Insulator Bi${}_2$Se${}_3$
• Instabilities of Weyl-loop semi-metals
• Effect of Strong Disorder in a 3-Dimensional Topological Insulator: Phase Diagram and Maps of the Z2 Invariant
• An electronic-based model of the optical nonlinearity of low-electron-density-Drude materials
• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
• Topological synchronization of quantum van der Pol oscillators
• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides
• Spin-based Mach-Zehnder interferometry in topological insulator p-n junctions
• Density Functional Study of Ternary Topological Insulator Thin Films
• Unified role of Green's function poles and zeros in topological insulators
• Anomalous behavior in the phonon dispersion of the (001) surface of Bi${}_2$Te${}_3$ determined from helium atom-surface scattering measurements
• The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
• Ripple modulated electronic structure of a 3D topological insulator
• Bulk-boundary correspondence in three dimensional topological insulators
• Aging and reduced bulk conductance in thin films of the topological insulator Bi${}_2$Se${}_3$
• Spin-polarized tunneling current through a thin film of topological insulator in a parallel magnetic field
• Bulk characterization of topological crystalline insulators: stability under interactions and relations to symmetry enriched U(1) quantum spin liquids
• Topological properties of subsystem-symmetry-protected edge states in an extended quasi-one-dimensional dimerized lattice
• Principles of crystal growth of intermetallic and oxide compounds from molten solutions
• Coulomb instabilities of 3D higher-order topological insulators
• Fluctuation-induced torque on a topological insulator out of thermal equilibrium
• Unification of bosonic and fermionic theories of spin liquids on the kagome lattice
• Transferring MBE-grown topological insulator films to arbitrary substrates and Metal-insulator transition via Dirac gap
• Symmetry breaking and (pseudo)spin polarization in Veselago lenses for massless Dirac fermions
• Dirac Fermions and Superconductivity in Homologous Structures (AgxPb1-xSe)5(Bi2Se3)3m,m = 1,2
• Possible devil's staircase in the Kondo lattice CeSbSe
• Spin dynamics and magnetic interactions of Mn dopants in the topological insulator Bi${}_2$Te${}_3$
• Deformation and Stability of Surface States in Dirac semimetals
• Dimensional crossover and cold-atom realization of topological Mott insulators
• Quantum phase transition and fractional excitations in a topological insulator thin film with Zeeman and excitonic masses
• Fractional charge and inter-Landau level states at points of singular curvature
• Three-dimensional topological insulators: A review on host materials
• Detecting Perfect Transmission in Josephson Junctions on the Surface of Three Dimensional Topological Insulators
• Tunable Coupling between Surface States of a Three-Dimensional Topological Insulator in the Quantum Hall Regime
• Flow of (higher) Berry curvature and bulk-boundary correspondence in parametrized quantum systems
• Theory of a chiral Fermi liquid: general formalism
• Reversal of thermoelectric current in tubular nanowires
• Amorphous Bi${}_2$Se${}_3$ structural, electronic, and topological nature by first-principles
• Gapped Surface States in a Strong-Topological-Semimetal
• Higher-form Gauge Symmetries in Multipole Topological Phases
• Electronic optics in graphene in the semiclassical approximation
• Sliding Ferroelectrics Induced Hybrid-Order Topological Phase Transitions
• Influence of the impurity scattering on charge transport in unconventional superconductor junctions
• Coexistence of Fermi arcs with two dimensional gapless Dirac states
• Gapless edge states of BF field theory and translation-symmetric Z2 spin liquids
• Third-order Hall effect in the surface states of a topological insulator
• Observation of Dirac surface states in the noncentrosymmetric superconductor BiPd
• Magnetoterahertz Response and Faraday Rotation from Massive Dirac Fermions in the Topological Crystalline Insulator Pb${}_{0.5}$Sn${}_{0.5}$Te
• Effective hydrodynamic field theory and condensation picture of topological insulators
• Field Theory of Nematicity in the Spontaneous Quantum Anomalous Hall effect
• Absence of equilibrium edge currents in theoretical models of topological insulators
• Viscoelastic-electromagnetism and Hall viscosity
• Parafermion supporting platform based on spin transitions in the fractional quantum Hall effect regime
• AFM and Raman studies of topological insulator materials subject to argon plasma etching
• Spin Transfer Torque and Electric Current in Helical Edge States in Quantum Spin Hall Devices
• Electronic properties of disordered Weyl semimetals at charge neutrality
• Spherical topological-insulator nanoparticles: Quantum size effects and optical transitions
• Multiple band-crossings and Fermi surface topology: role of double nonsymmorphic symmetries in MnP-type crystal structures
• Adiabatic transformation as a search tool for new topological insulators: distorted ternary Li${}_2$AgSb-class semiconductors and related compounds
• Detecting and identifying 2D symmetry-protected topological, symmetry-breaking and intrinsic topological phases with modular matrices via tensor-network methods
• Electrodynamics of tilted Dirac/Weyl materials: A unique platform for unusual surface plasmon polaritons
• Topological Crystalline Transition Metals: Strained W, Ta, Mo, and Nb
• Unoccupied topological surface state in Bi${}_2$Te${}_2$Se
• Elementary band representations for the single-particle Green's function of interacting topological insulators
• Hot-carrier transport and spin relaxation on the surface of topological insulator
• Space group symmetry fractionalization in a family of exactly solvable models with Z2 topological order
• Anomalous Josephson current in superconducting topological insulator
• The noncommutative Kubo Formula: Applications to Transport in Disordered Topological Insulators with and without Magnetic Fields
• Hybrid topological magnon-phonon modes in honeycomb and kagome lattices
• Non-Hermitian impurities in Dirac systems
• Majorana edge modes of topological exciton condensate with superconductors
• A tight-binding model for the band dispersion in rhombohedral topological insulators over the whole Brilluoin zone
• Topological exciton condensate of imbalanced electrons and holes
• Connecting electron and phonon spectroscopy data to consistently determine quasiparticle-phonon coupling on the surface of topological insulators
• From Dirac semimetals to topological phases in three dimensions: a coupled wire construction
• Symmetry Protected Quantum State Renormalization
• Space group constraints on weak indices in topological insulators
• Comprehensive Analysis for the High Field Magneto-conductivity of Bi2Te3 Single Crystal
• Unified Topological Response Theory for Gapped and Gapless Free Fermions
• A Topological SQUIPT based on helical edge states in proximity to superconductors
• Topological spin-plasma waves
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Electric field modulated topological magnetoelectric effect in Bi${}_2$Se${}_3$
• Superconducting properties of the non-centrosymmetric Superconductors TaXSi (X= Re, Ru)
• Two-dimensional weak-type topological insulators in inversion symmetric crystals
• A non-Abelian twist to integer quantum Hall states
• Higgsless superconductivity from topological defects in compact BF terms
• Majorana vortex-bound states in three-dimensional nodal noncentrosymmetric superconductors
• Electron beam splitting at topological insulator surface states and a proposal for electronic Goos-Hanchen shift measurement
• Surface field theories of point group symmetry protected topological phases
• Finite-size Topology
• Ionic and electronic properties of the topological insulator Bi${}_2$Te${}_2$Se investigated using $\beta$-detected nuclear magnetic relaxation and resonance of ${}^8$Li
• Intrinsic Contribution to Non-linear Thermoelectric Effect
• Magnetic phases and unusual topological electronic structures of Weyl semimetals in strong interaction limit
• Topological nature of step edge states on the surface of topological crystalline insulator Pb${}_{0.7}$Sn${}_{0.3}$Se
• Planar tunneling spectroscopy of the topological Kondo insulator SmB${}_6$
• Topological Dipole Conserving Insulators and Multipolar Responses
• Topology of rotating stratified fluids with and without background shear flow
• Kondo screening by the surface modes of a strong topological insulator
• Impact of strong correlations on a band topological insulator on the Lieb lattice
• Symmetry protected gapless $Z_2$ spin liquids
• Gapped Dirac cones and spin texture in thin film topological insulator
• Superconductivity in noncentrosymmetric NbReSi investigated by muon spin rotation and relaxation
• Classification and surface anomaly of glide symmetry protected topological phases in three dimensions
• Interacting topological mirror excitonic insulator in one dimension
• Quantum oscillations of the topological surface states in low carrier concentration crystals of Bi${}_{2-x}$Sb${}_x$Te${}_{3-y}$Se${}_y$
• Manipulating topological-insulator properties using quantum confinement
• Probing nodeless superconductivity in LaMSi (M = Ni, Pt) using muon-spin rotation and relaxation
• Topological BF description of 2D accelerated chiral edge modes
• Electron Spin Resonance Spectroscopy on Magnetic Van der Waals Compounds
• Dyon condensation in topological Mott insulators
• Su-Schrieffer-Heeger quasicrystal: Topology, localization, and mobility edge
• Composite helical edges from Abelian fractional topological insulators
• Collective spin modes in Fermi liquids with spin-orbit coupling
• Tunable Dirac points in a two-dimensional non-symmorphic wallpaper group lattice
• Anomalous Hall effect with plateaus observed in a magnetic Weyl semimetal NdAlGe at low temperatures
• Fragility of the fractional quantum spin Hall effect in quantum gases
• Finite-size effects in cylindrical topological insulators
• Topology of chalcogen chains
• Topological phase transition with nanoscale inhomogeneity in (Bi${}_{1-x}$In${}_x$)${}_2$Se${}_3$
• `Holographic' treatment of surface disorder on a topological insulator
• Real-space effects of a quench in the Su-Schrieffer-Heeger model and elusive dynamical appearance of the topological edge states
• Conductance of gated junctions as a probe of topological interface states
• Quantum capacitance of an HgTe quantum well as an indicator of the topological phase
• Signature of Anomalous Andreev bound states in magnetic Josephson junction of noncentrosymmetric superconductor on a topological insulator
• Defect bulk-boundary correspondence of topological skyrmion phases of matter
• Geometric Approach to 3D Interfaces at Strong Coupling
• Topological edge states in a Rydberg composite
• Measuring the Chern number with quantum oscillations
• Topological transitions to Weyl states in bulk Bi${}_2$Se${}_3$: Effect of hydrostatic pressure and doping
• Confined states and topological phases in two-dimensional quasicrystalline $\pi$-flux model
• Second-order topological insulator under strong magnetic field: Landau levels, Zeeman effect, and magnetotransport
• Tunneling conductance in two-dimensional junctions between a normal metal and a ferromagnetic Rashba metal
• Anomalous Spin Response and Virtual-Carrier-Mediated Magnetism in a Topological Insulator
• Transport in topological insulator nanowires
• Tailoring Metal Insulator Transitions $\&$ Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
• Vortex bound states of charge and magnetic fluctuations-induced topological superconductors in heterostructures
• Gapped gravitinos, isospin $\frac{1}{2}$ particles and $\mathcal{N}=2$ partial breaking
• IrF4: From Tetrahedral Compass Model to Topological Semimetal
• Nernst-Ettingshausen effect at the trivial-nontrivial band ordering in topological crystalline insulator Pb1-xSnxSe
• Low-energy modeling of three-dimensional topological insulator nanostructures
• Intrinsic surface dipole in topological insulators
• Three-dimensional topological insulators in the octahedron-decorated cubic lattice
• Experimental and first-principles studies of superconductivity in topological nodal line semimetal SnTaS${}_2$
• Topological nature of the Kondo insulator SmB${}_6$ and its sensitiveness to Sm vacancy
• Disorder and Zeeman coupling induced gap-filling states in the nodeless chiral superconducting Bi/Ni bilayer system
• Electrified magnetic catalysis in three-dimensional topological insulators
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• Impurity-induced bound states in superconductors with topological order
• Hofstadter problem in higher dimensions
• Design of spin-orbital-textures in ferromagnetic/topological insulator interfaces
• The anomalous spin texture as the probe for interactions in $B{i}_{2-y}S{b}_{y}S{e}_{x}T{e}_{3-x}$
• Bound states of three fermions forming symmetry-protected topological phases
• Bound states and controllable currents on Topological Insulator surfaces with extended magnetic defects
• Spin density wave order in interacting type-I and type-II Weyl semimetals
• Interaction-induced phase transitions at topological quantum criticality of an extended Su-Schrieffer-Heeger model
• Topological physics in quantum critical systems
• Emergence of the Unconventional Type-II Nambu-Goldstone Modes with Topological Origin in Bose Superfluids
• Punctured-Chern topological invariants for semi-metallic bandstructures
• Topological surface states in the Kondo insulator YbB${}_{12}$ revealed via planar tunneling spectroscopy
• The Fate of the Photon in Topological Matter: Superconductivity, Confinement and the Vortex Quantum Hall Effect
• Hybrid-Order Topological Phase And Transition in 1H Transition Metal Compounds
• Marginally localized edges of time-reversal symmetric topological superconductors
• Massive photon propagator in the presence of axionic fluctuations
• The Future of the Correlated Electron Problem
• Unconventional gate voltage dependence of the charge conductance caused by spin-splitting Fermi surface by Rashba-type spin-orbit coupling
• First order phase transitions within Weyl type of materials at low temperatures
• Strong Spin-Orbit Torque effect on magnetic defects due to topological surface state electrons in Bi${}_2$Te${}_3$
• Inducing anisotropies in Dirac fermions by periodic driving
• Nonvolatile Solid-State Charged-Polymer Gating of Topological Insulators into the Topological Insulating Regime
• Dynamical Gap Generation in Topological Insulators
• Reduced QED with few planes and fermion gap generation
• Thermoelectric transport in a three-dimensional HgTe topological insulator
• Emergence of bond-dependent highly anisotropic magnetic interactions in Sr${}_4$RhO${}_6$: a theoretical study
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• Direct topological insulator transitions in three dimensions are destabilized by non-perturbative effects of disorder
• High-field charge transport on the surface of Bi${}_2$Se${}_3$
• Effective field theory of topological insulator and the Foldy-Wouthuysen transformation
• Non-orthogonal Spin-Momentum Locking
• Second harmonic generation and third harmonic generation in topological insulator-based van der Waals metamaterials
• Discovery of a high-temperature antiferromagnetic state and transport signatures of exchange interactions in a Bi2Se3/EuSe heterostructure
• Importance of the semimetallic state for the quantum Hall effect in HfTe${}_5$
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Edge Spin fractionalization in one-dimensional spin-$S$ quantum antiferromagnets
• Inter-quintuple layer coupling and topological phase transitions in the chalcogenide topological insulators
• Surface theory of a second-order topological insulator beyond the Dirac approximation
• Giant resonant skew scattering of plasma waves in a two-dimensional electron gas
• Topological insulator Bi2Te3 films synthesized by metal organic chemical vapor deposition
• Origin of the large topological Hall effect in the EuCd${}_2$Sb${}_2$ antiferromagnet
• Topological phases protected by projective space-time inversion symmetry in alkaline-earth-metal-like atoms
• Systematic Construction of Interfaces and Anomalous Boundaries for Fermionic Symmetry-Protected Topological Phases
• Spacetime symmetry indicators for two-dimensional Floquet topological insulators
• Dirac plasmon polaritons and magnetic modes in topological-insulator nanoparticles
• Charge qubits based on ultra-thin topological insulator films
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Spin-Charge Soldering from Tensor Higgs mechanism
• Ultrafast electronic heat dissipation through surface-to-bulk Coulomb coupling in quantum materials
• Robust nonequilibrium surface currents in the 3D Hofstadter model
• Fermi surface instabilities of symmetry-breaking and topological types on the surface of a three-dimensional topological insulator
• Promoted current-induced spin polarization in inversion symmetry broken topological insulator thin films
• Extended Haldane model -- a modern gateway to topological insulators
• Crystalline topological states at a topological insulator junction
• Surface states of gapped electron systems and semi-metals
• Phase transitions of the dimerized Kane-Mele model with/without the strong interaction
• Edge density of bulk states due to relativity
• Resonant inelastic X-ray scattering in the topological semimetal FeSi
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Hofstadter Butterflies in Topological Insulators
• Unveiling Novel Resonant Interband Contribution to Polarizability in three-dimensional systems
• Electron doping in single crystalline BaBiO${}_3$: BaBiO${}_{3-x}$F${}_x$
• Designing atomic-scale resistive circuits in topological insulators through vacancy-induced localized modes
• Topological insulator realization induced by fermionic interaction through BF mediators
• Super-resonant transport of topological surface states subjected to in-plane magnetic fields
• Notes from the bulk: metric dependence of the edge states of Chern-Simons theory