Quantum Spin Hall Effect

Abstract

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external magnetic field. In this work, we predict a quantized spin Hall effect in the absence of any magnetic field, where the intrinsic spin Hall conductance is quantized in units of $2\frac{e}{4\pi }$. The degenerate quantum Landau levels are created by the spin-orbit coupling in conventional semiconductors in the presence of a strain gradient. This new state of matter has many profound correlated properties described by a topological field theory.

References in corpus (9)

• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
• Spin-flip transitions between Zeeman sublevels in semiconductor quantum dots
• Bose-Einstein Condensates with Large Number of Vortices
• Nondissipative Spin Hall Effect via Quantized Edge Transport
• Intrinsic Spin Hall Effect in the Two Dimensional Hole Gas

Cited by in corpus (1116)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Topological Photonics
• Topological Photonics
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Topological Insulator Materials
• Imaging topological edge states in silicon photonics
• Higher-Order Topological Insulators
• Topological superconductors: a review
• Robust optical delay lines via topological protection
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Light-induced gauge fields for ultracold atoms
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topological States and Adiabatic Pumping in Quasicrystals
• The quantum spin Hall effect and topological insulators
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
• Seeing the magnetic monopole through the mirror of topological surface states
• Tunable Multifunctional Topological Insulators in Ternary Heusler Compounds
• Nonlocal edge state transport in the quantum spin Hall state
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• Zoo of quantum-topological phases of matter
• Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
• Higher-Order Topology in Bismuth
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• The Quantum Spin Hall Effect: Theory and Experiment
• Aharonov-Bohm interference in topological insulator nanoribbons
• Quantum Spin Hall Effect in Inverted Type II Semiconductors
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Topological nodal line semimetals
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• All-Si Valley-Hall Photonic Topological Insulator
• Topological Superconductivity and Superfluidity
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Topological Mott Insulators
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Three-Dimensional Topological Insulators
• Fractional quantum Hall effect in the absence of Landau levels
• Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling
• Magnetic impurities on the surface of a topological insulator
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Topological origin of subgap conductance in insulating bilayer graphene
• Two-dimensional Dirac fermions in a topological insulator: transport in the quantum limit
• An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Inversion Symmetric Topological Insulators
• Topology of crystalline insulators and superconductors
• Topological Flat Band Models and Fractional Chern Insulators
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Quantum anomalous Hall effect and related topological electronic states
• Colloquium: Quantum anomalous Hall effect
• Edge states and topological phases in non-Hermitian systems
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Topologically protected acoustic helical edge states and interface states in strongly coupled metamaterial ring lattices
• Bulk Band Gap and Surface State Conduction Observed in Voltage-Tuned Crystals of the Topological Insulator Bi${}_2$Se${}_3$
• Unconventional superconductivity on a topological insulator
• Helical Metal Inside a Topological Band Insulator
• Topological chiral magnonic edge mode in a magnonic crystal
• General Relationship Between the Entanglement Spectrum and the Edge State Spectrum of Topological Quantum States
• 2D symmetry protected topological orders and their protected gapless edge excitations
• Complete classification of 1D gapped quantum phases in interacting spin systems
• First Principles Studies on 3-Dimentional Strong Topological Insulators: Bi2Te3, Bi2Se3 and Sb2Te3
• One-dimensional Topological Edge States of Bismuth Bilayers
• Landau Quantization of Massless Dirac Fermions in Topological Insulator
• Topological Semimetals Predicted from First-principles Calculations
• Interacting topological insulators: a review
• Quantum interference in macroscopic crystals of non-metallic Bi${}_2$Se${}_3$
• Induced Superconductivity in the Quantum Spin Hall Edge
• Time-reversal invariant realization of the Weyl semimetal phase
• Well-localized edge states in two-dimensional topological insulators: ultrathin Bi films
• Single particle Green's functions and interacting topological insulators
• Irvsp: to obtain irreducible representations of electronic states in the VASP
• Topological properties of linear circuit lattices
• New topological invariants in non-Hermitian systems
• Anomalous Finite Size Effects on Surface States in the Topological Insulator Bi${}_2$Se${}_3$
• Experimental Realization of Acoustic Chern Insulator
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Topology of Andreev Bound States with Flat Dispersion
• Spin polarization of the quantum spin Hall edge states
• Fractional topological insulators
• Large-Gap Two-Dimensional Topological Insulator in Oxygen Functionalized MXene
• Transition-Metal Pentatelluride ZrTe${}_5$ and HfTe${}_5$: a Paradigm for Large-gap Quantum Spin Hall Insulators
• Topological quantum matter with cold atoms
• Topological Insulators on the Lieb and Perovskite Lattices
• Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear $\sigma$ models and a special group supercohomology theory
• Fermi Surface Topological Invariants for Time Reversal Invariant Superconductors
• On the $Z_2$ classification of Quantum Spin Hall Models
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Nonequilibrium Physics in Biology
• Topological Phases of Sound and Light
• Imaging currents in HgTe quantum wells in the quantum spin Hall regime
• Nonlinearity-induced photonic topological insulator
• Absence of topological insulator phases in non-Hermitian PT-symmetric Hamiltonians
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• Topological insulators and metal-insulator transition in the pyrochlore iridates
• Artificial gauge fields in materials and engineered systems
• Spin Hall effects for cold atoms in a light induced gauge potential
• Edge-mode Superconductivity in a Two Dimensional Topological Insulator
• Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states
• Quantum spin Hall effect in three dimensional materials: Lattice computation of Z${}_2$ topological invariants and its application to Bi and Sb
• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Thermoelectric properties of Weyl and Dirac semimetals
• Generic Wavefunction Description of Fractional Quantum Anomalous Hall States and Fractional Topological Insulators
• Quantum transport in Rashba spin-orbit materials: A review
• Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface
• Superconducting Proximity Effect on the Edge of Fractional Topological Insulators
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Topological Insulators in Random Lattices
• Proximity effect at the superconductor - topological insulator interface
• Twisted Quantum Double Model of Topological Phases in Two--Dimension
• Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders
• Correlation effects in two-dimensional topological insulators
• Robust doubly charged nodal lines and nodal surfaces in centrosymmetric systems
• Topological spin-current in non-centrosymmetric superconductors
• Inelastic electron backscattering in a generic helical edge channel
• Interacting topological phases and modular invariance
• Topological Aspect and Quantum Magnetoresistance of $\beta$-Ag${}_2$Te
• Helical edge and surface states in HgTe quantum wells and bulk insulators
• Topological Order Parameters for Interacting Topological Insulators
• Seeing topological order in time-of-flight measurements
• Topological Materials Discovery from Crystal Symmetry
• Majorana Kramers pairs in higher-order topological insulators
• Tolerance of topological surface states towards magnetic moments: Fe on Bi2Te3 and Bi2Se3
• Zoology of Fractional Chern Insulators
• Topological surface state under graphene for two-dimensional spintronics in air
• Classification and analysis of two dimensional abelian fractional topological insulators
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
• Electric control of Dirac quasiparticles by spin-orbit torque in an antiferromagnet
• Fractional topological liquids with time-reversal symmetry and their lattice realization
• Imaging Quantum Spin Hall Edges in Monolayer WTe2
• On the quantum spin Hall gap of monolayer 1T'-WTe2
• Ultra-thin Topological Insulator Bi2Se3 Nanoribbons Exfoliated by Atomic Force Microscopy
• Fractional topological insulators in three dimensions
• Fingerprint of Different Spin-Orbit Terms for Spin Transport in HgTe Quantum Wells
• Insulating behavior in ultra-thin bismuth selenide field effect transistors
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Tailoring Magnetic Doping in the Topological Insulator Bi2Se3
• Tuning phase transition between quantum spin Hall and ordinary insulating phases
• Direct mapping of the spin-filtered surface bands of a three-dimensional quantum spin Hall insulator
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• The 2021 Quantum Materials Roadmap
• Quantum-spin-Hall insulator with a large gap: single-layer 1T' WSe${}_2$
• Quantum Spin Hall Effect in Two-dimensional Crystals of Transition Metal Dichalcogenides
• Perfect Andreev Reflection of Helical Edge Modes in InAs/GaSb Quantum Wells
• Massive Dirac surface states in topological insulator/magnetic insulator heterostructures
• Direct Visualization of 2D Topological Insulator in Single-layer 1T'-WTe2
• Relations between topology and the quantum metric for Chern insulators
• Experimental evidence of large-gap two-dimensional topological insulator on the surface of ZrTe5
• Interaction effect on topological classification of superconductors in two dimensions
• Edge Dynamics in a Quantum Spin Hall State: Effects from Rashba Spin-Orbit Interaction
• Spin-orbit coupling and spin Hall effect for neutral atoms without spin-flips
• Floquet Weyl Semimetal Induced by Off-Resonant Light
• Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
• Lattice models with exactly solvable topological hinge and corner states
• Stability, Electronic and Magnetic properties of magnetically doped topological insulators Bi2Se3, Bi2Te3 and Sb2Te3
• Images of edge current in InAs/GaSb quantum wells
• Chiral Topological Insulators, Superconductors and other competing orders in three dimensions
• Critical exponent for the Anderson transition in the three dimensional orthogonal universality class
• Long Range Intrinsic Ferromagnetism in Two Dimensional Materials and Dissipationless Future Technologies
• Localization in a quantum spin Hall system
• Topological phases and edge states in a non-Hermitian trimerized optical lattice
• Interaction-induced criticality in Z_2 topological insulators
• Magnonic topological insulators in antiferromagnets
• Cubic Rashba spin-orbit interaction of two-dimensional hole gas in strained-Ge/SiGe quantum well
• Universal phase diagrams for the quantum spin Hall systems
• Edge Channel Transport in InAs/GaSb Topological Insulating Phase
• Interplay between Superconductivity and Ferromagnetism on a Topological Insulator
• Critical Behavior of a Point Contact in a Quantum Spin Hall Insulator
• Spinless Topological Insulators without Time-Reversal Symmetry
• Corner Junction as a Probe of Helical Edge States
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Topological states in two-dimensional optical lattices
• Ballistic edge states in Bismuth nanowires revealed by SQUID interferometry
• Transport in disordered two-dimensional topological insulator
• Topological insulators and fractional quantum Hall effect on the ruby lattice
• Layer-by-layer entangled spin-orbital texture of the topological surface state in Bi2Se3
• Diagrammatics for Bose condensation in anyon theories
• Topological kink states at a tilt boundary in gated multi-layer graphene
• CaTe: a new topological node-line and Dirac semimetal
• Observation of photonic antichiral edge states
• SU(2)xU(1) unified theory for charge, orbit and spin currents
• Shockley model description of surface states in topological insulators
• Symmetry protected topological phases in non-interacting fermion systems
• Tuning the conductance of Dirac fermions on the surface of a topological insulator
• Switching spin and charge between edge states in topological insulator constrictions
• The honeycomb lattice with multi-orbital structure: topological and quantum anomalous Hall insulators with large gaps
• Scattering-Free Optical Edge States between Heterogeneous Photonic Topological Insulators
• Room-temperature quantum spin Hall edge state in a higher-order topological insulator Bi${}_4$Br${}_4$
• Theoretical Prediction of Two-Dimensional Functionalized MXene Nitrides as Topological Insulators
• Exactly Solvable Models for Symmetry-Enriched Topological Phases
• Real-space imaging of a topological protected edge state with ultracold atoms in an amplitude-chirped optical lattice
• Uncovering edge states and electrical inhomogeneity in MoS2 field-effect transistors
• Topological spin Hall states, charged skyrmions, and superconductivity in two dimensions
• Topological quantum wires with balanced gain and loss
• Topological aspects of quantum spin Hall effect in graphene: Z${}_2$ topological order and spin Chern number
• Inversion-protected higher order topological superconductivity in monolayer WTe${}_2$
• Superconductivity and non-metallicity induced by doping the topological insulators Bi2Se3 and Bi2Te3
• Topological nodal Cooper pairing in doped Weyl metals
• Gapless interface states between topological insulators with opposite Dirac velocities
• Pure Spin Photocurrent in Non-centrosymmetric Crystals: Bulk Spin Photovoltaic Effect
• Two-Dimensional Density-Matrix Topological Fermionic Phases: Topological Uhlmann Numbers
• Quasiparticle Interference on the Surface of the Topological Insulator Bi${}_2$Te${}_3$
• Majorana nanowires for topological quantum computation
• Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
• Conductivity of a generic helical liquid
• Mermin-Wagner theorem, flexural modes, and degraded carrier mobility in 2D crystals with broken horizontal mirror (${\sigma }_{\mathrm{h}}$) symmetry
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Quantum oscillation in narrow-gap topological insulators
• Surface Scattering via Bulk Continuum States in the 3D Topological Insulator Bi${}_2$Se${}_3$
• Spin Charge Separation in the Quantum Spin Hall State
• Tunneling between edge states in a quantum spin Hall system
• Fractionalized Topological Insulators
• Topological Anderson insulator phenomena
• Surface magnetic ordering in topological insulators with bulk magnetic dopants
• Topological Insulators in Ternary Compounds with a Honeycomb Lattice
• Topological phases and phase transitions on the square-octagon lattice
• Quasiparticle Dynamics in Reshaped Helical Dirac Cone of Topological Insulators
• Topological insulator: a new quantized spin Hall resistance robust to dephasing
• Exceptional points in topological edge spectrum of PT symmetric domain walls
• Electric and Magnetic Tuning Between the Trivial and Topological Phases in InAs/GaSb Double Quantum Wells
• Reversal of the circular dichroism in the angle-resolved photoemission from Bi2Te3
• Spatially resolved study of backscattering in the quantum spin Hall state
• Trace Index and Spectral Flow in the Entanglement Spectrum
• Chiral thermoelectrics with quantum Hall edge states
• Phase Diagram of Pressure-induced Superconductivity and its Relation to Hall Coefficient in Bi2Te3 Single Crystal
• Quantized topological terms in weak-coupling gauge theories with symmetry and their connection to symmetry enriched topological phases
• Transport properties of a 3D topological insulator based on a strained high mobility HgTe film
• Abundance of ${\mathbb{Z}}_2$ topological order in exfoliable two-dimensional insulators
• Exploration and prediction of topological electronic materials based on first-principles calculations
• Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
• Probing two topological surface bands of Sb2Te3 by spin-polarized photoemission spectroscopy
• Magnetic crystals and helical liquids in alkaline-earth fermionic gases
• Disorder effect on 3-dimensional $Z_2$ quantum spin Hall systems
• Evidence of a hidden flux phase in the topological kagome metal CsV${}_3$Sb${}_5$
• Spin pumping and measurement of spin currents in optical superlattices
• Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
• Functionalized Bismuth Films: Giant Gap Quantum Spin Hall and Valley-Polarized Quantum Anomalous Hall States
• Two-dimensional spin-filtered chiral network model for the Z_2 quantum spin-Hall effect
• Pressure and temperature driven phase transitions in HgTe quantum wells
• Odd-frequency superconducting pairing in one-dimensional systems
• Thermoelectricity by Perfectly Conducting Channels in Quantum Spin Hall Systems
• Creation of Helical Dirac Fermions by Interfacing Two Gapped Systems of Ordinary Fermions
• Observation of momentum-space chiral edge currents in room-temperature atoms
• Rashba spin orbit coupling in the Kane-Mele-Hubbard model
• Fractional quantum-Hall liquid spontaneously generated by strongly correlated t_2g electrons
• Topological states on fractal lattices
• Electrides as a New Platform of Topological Materials
• Magnetoconductance of the quantum spin Hall state
• Formation of quantum spin Hall state on Si surface and energy gap scaling with strength of spin orbit coupling
• Symmetry-protected topological invariants of symmetry-protected topological phases of interacting bosons and fermions
• Odd-frequency superconducting pairing and subgap density of states at the edge of a two-dimensional topological insulator without magnetism
• Symmetry protected Spin Quantum Hall phases in 2-Dimensions
• Observation of Coulomb gap in the quantum spin Hall candidate single-layer 1T'-WTe${}_2$
• Correlation effects on a topological insulator at finite temperatures
• Topological equivalence of crystal and quasicrystal band structures
• From the adiabatic theorem of quantum mechanics to topological states of matter
• Topological Insulators on the Decorated Honeycomb Lattice
• A $\Gamma$-matrix generalization of the Kitaev model
• Experimental Realization of a Reflections-Free Compact Delay Line Based on a Photonic Topological Insulator
• Magneto-optics of massive Dirac fermions in bulk Bi2Se3
• Layer construction of 3D topological states and string braiding statistics
• Fractional (Chern and topological) insulators
• Topological crystalline semimetals in non-symmorphic lattices
• Fluctuation-induced Topological Quantum Phase Transitions in Quantum Spin Hall and Quantum Anomalous Hall Insulators
• Finite Conductivity in Mesoscopic Hall Bars of Inverted InAs/GaSb Quantum Wells
• Electric Field Tuning of the Surface Band Structure of Topological Insulator Sb2Te3 Thin Films
• Topological insulators from the Perspective of first-principles calculations
• Giant linearly-polarized photogalvanic effect and second harmonic generation in two-dimensional axion insulators
• A study on correlation effects in two dimensional topological insulators
• Magnetic properties of HgTe quantum wells
• Exactly soluble models for fractional topological insulators in 2 and 3 dimensions
• Quantum Kinetic Theory of the Chiral Anomaly
• A comprehensive review on topological superconducting materials and interfaces
• Symmetry-protected topological phases and orbifolds: Generalized Laughlin's argument
• Spinless hourglass nodal-line semimetals
• Spontaneous breakdown of topological protection in two dimensions
• Atomically Thin Quantum Spin Hall Insulators
• Symmetries, Dimensions, and Topological Insulators: the mechanism behind the face of the Bott clock
• Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
• Discovery of Intrinsic Quantum Anomalous Hall Effect in Organic Mn-DCA Lattice
• Terahertz Kerr and Reflectivity Measurements on the Topological Insulator Bi2Se3
• CT invariant quantum spin Hall effect in a ferromagnetic graphene
• Topological Phases in AB-Stacked MoTe${}_2$/WSe${}_2$: ${\mathbb{Z}}_2$ Topological Insulators, Chern Insulators, and Topological Charge Density Waves
• Noncommutative geometry for three-dimensional topological insulators
• Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons
• 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
• Tunable Quantum Spin Hall Effect via Strain in two-Dimensional Arsenene Monolayer
• Three-dimensional topological phase on the diamond lattice
• Measuring topology in a laser-coupled honeycomb lattice: From Chern insulators to topological semi-metals
• Thermoelectric transport in the topological phase due to the coexistence of superconductivity and spin-density-wave
• Thermal Instability of Protected End States in a 1-D Topological Insulator
• Topological Bloch oscillations
• SU(2) slave-boson formulation of spin nematic states in S=1/2 frustrated ferromagnets
• Two-Dimensional Inversion Asymmetric Topological Insulators in Functionalized III-Bi Bilayers
• Measuring Z2 topological invariants in optical lattices using interferometry
• Real-space representation of winding number for one-dimensional chiral-symmetric topological insulator
• Room temperature electrically pumped topological insulator lasers
• Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
• Projective Ribbon Permutation Statistics: a Remnant of non-Abelian Braiding in Higher Dimensions
• Absence of zero-energy surface bound states in CuxBi2Se3 via a study of Andreev reflection spectroscopy
• Fractional Topological Insulators -- a Pedagogical Review
• Time-reversal symmetric hierarchy of fractional incompressible liquids
• Interaction effects on 1D fermionic symmetry protected topological phases
• Spin-orbit coupling and semiclassical electron dynamics in noncentrosymmetric metals
• Superconductivity on the surface of topological insulators and in two-dimensional noncentrosymmetric materials
• Topological semimetals studied by ab initio calculations
• Topological magnetic crystalline insulators and co-representation theory
• From Fractional Chern Insulators to a Fractional Quantum Spin Hall Effect
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Classification of topological crystalline insulators based on representation theory
• Topological Phases of Photonic Crystals under Crystalline Symmetries
• Photonic ${\mathbb{Z}}_2$ topological Anderson insulators
• Effective field theories for topological insulators by functional bosonization
• Valley-Polarized Quantum Transport Generated by Gauge Fields in Graphene
• Manipulation of edge states in microwave artificial graphene
• Spin-Resolved Topology and Partial Axion Angles in Three-Dimensional Insulators
• Tunneling between helical edge states through extended contacts
• Spin Aharonov-Bohm effect and topological spin transistor
• Symmetry protected fractional Chern insulators and fractional topological insulators
• Topological states in quasicrystals
• Effects of chiral imbalance and magnetic field on pion superfluidity and color superconductivity
• Topology-induced phase transitions in quantum spin Hall lattices
• Universal symmetry-protected topological invariants for symmetry-protected topological states
• Disorder-induced metal-insulator transitions in three-dimensional topological insulators and superconductors
• Metacinnabar (β-HgS): a strong 3D topological insulator with highly anisotropic surface states
• Topological phases of quantized light
• Electrically Controlled Pumping of Spin Currents in Topological Insulators
• Magnetotransport of Dirac Fermions on the surface of a topological insulator
• Interaction-driven transition between topological states in a Kondo insulator
• Weak Topological Insulators in PbTe/SnTe Superlattices
• Electrical switching and interferometry of massive Dirac particles in topological insulators constrictions
• Fermionic time-reversal symmetry in a photonic topological insulator
• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
• The electronic structure of clean and adsorbate-covered Bi2Se3: an angle-resolved photoemission study
• Chiral Spin Liquid in Correlated Topological Insulator
• Quantum Spin-quantum Anomalous Hall Effect with Tunable Edge States in Sb Monolayer-based Heterostructures
• Mesoscopic fluctuations of conductance of a helical edge contaminated by magnetic impurities
• Kondo lattice on the edge of a two-dimensional topological insulator
• Fractional Topological Insulators: from sliding Luttinger Liquids to Chern-Simons theory
• Spin-polarized edge currents and Majorana fermions in one- and two-dimensional topological superconductors
• Topological phase transitions in superradiance lattices
• High efficiency thermal switch based on topological Josephson junctions
• Topological Insulator to Dirac Semimetal Transition Driven by Sign Change of Spin-Orbit Coupling in Thallium Nitride
• Tuning Topological Superconductivity in Phase-Controlled Josephson Junctions with Rashba and Dresselhaus Spin-Orbit Coupling
• Flat bands and nontrivial topological properties in an extended Lieb lattice
• Quasi 1D topological nodal vortex line phase in doped superconducting 3D Dirac Semimetals
• Cooper-Pair Injection into Quantum Spin Hall Insulators
• A Fractionalized Quantum Spin Hall Effect
• Topological quantum critical points in the extended Bose-Hubbard model
• Fractional Chern insulators with strong interactions far exceeding bandgaps
• Quenched dynamics and spin-charge separation in an interacting topological lattice
• Higher Dimensional Quantum Hall Effect as A-Class Topological Insulator
• Topological electric current from time-dependent elastic deformations in graphene
• Boundary criticality at the Anderson transition between a metal and a quantum spin Hall insulator in two dimensions
• Conformal Field Theory on the Fermi Surface
• Stabilization of Quantum Spin Hall Effect by Designed Removal of Time-Reversal Symmetry of Edge States
• Topological phases in two-dimensional arrays of parafermionic zero modes
• Two-dimensional topological insulator state in cadmium arsenide thin films
• Topological Phase Transitions of Dirac Magnons in Honeycomb Ferromagnets
• Junction between surfaces of two topological insulators
• Linear magnetoresistance in HgTe quantum wells
• The influence of lattice termination on the edge states of the quantum spin Hall insulator monolayer $1T^{\prime }$-WTe${}_2$
• Experimental Detection of the Quantum Phases of a Three-Dimensional Topological Insulator on a Spin Quantum Simulator
• Gate-controlled semimetal-topological insulator transition in an InAs/GaSb heterostructure
• Multi-critical behavior of $Z_2\times O(2)$ Gross-Neveu-Yukawa theory in graphene
• 2D and 3D topological insulators with isotropic and parity-breaking Landau levels
• Z2 topological invariants in two dimensions from quantum Monte Carlo
• Multiple Quantum Phases in Graphene with Enhanced Spin-Orbit Coupling: From the Quantum Spin Hall Regime to the Spin Hall Effect and a Robust Metallic State
• ${\mathbb{Z}}_2$ fractional topological insulators in two dimensions
• Hourglass Fermion Surface States in Stacked Topological Insulators with Nonsymmorphic Symmetry
• High-Dimensional Topological Insulators with Quaternionic Analytic Landau Levels
• Noise-induced backscattering in a quantum-spin-Hall edge
• Non-linear Hall Effects: Mechanisms and Materials
• Planar Hall effect in topological Weyl and nodal line semimetals
• Bloch-Zener Oscillations in Graphene and Topological Insulators
• Topological order in a correlated Chern insulator
• High Chern number quantum anomalous Hall phases in graphene ribbons with Haldane orbital coupling
• Helical Liquids in Semiconductors
• Artificial non-Abelian lattice gauge fields for photons in the synthetic frequency dimension
• Prospect of quantum anomalous Hall and quantum spin Hall effect in doped kagome lattice Mott insulators
• Spin polarised scanning tunneling probe for helical Luttinger liquids
• Symmetry-protected Topological Phases at Finite Temperature
• Topological insulators with SU(2) Landau levels
• The magnetic, electronic, and light-induced topological properties in two-dimensional hexagonal FeX2 (X = Cl, Br, I) monolayers
• Bulk metals with helical surface states
• Electrically Controlled Spin Injection from Giant Rashba Spin-Orbit Conductor BiTeBr
• Demonstration of acoustic high-order Stiefel-Whitney semimetal in bilayer graphene sonic crystals
• Weak symmetry breaking in two dimensional topological insulators
• Chiral symmetry on the edge of 2D symmetry protected topological phases
• Unveiling the mechanism of bulk spin-orbit torques within chemically disordered Fe${}_x$Pt${}_{1-x}$ single layers
• Microscopic Realization of 2-Dimensional Bosonic Topological Insulators
• Backscattering in helical edge states from a magnetic impurity and Rashba disorder
• Interacting two helical edge modes in quantum spin Hall systems
• Experimental Signatures of the Inverted Phase in InAs/GaSb Coupled Quantum Wells
• Topological Hubbard model and its high-temperature quantum Hall effect
• Gauge-field fluctuations in 3D topological Mott insulators
• Unraveling materials Berry curvature and Chern-Simons numbers from real-time evolution of Bloch states
• 2D spin-orbit coupling for ultracold atoms in optical lattices
• Time reversal symmetry broken fractional topological phases at zero magnetic field
• Stanene: A Good Platform for Topological Insulator and Topological Superconductor
• New class of 3D topological insulator in double perovskite
• Is a color superconductor topological?
• $U(1)\times U(1)$ Symmetry Protected Topological Order in Gutzwiller Wave Functions
• Controlled spatial separation of spins and coherent dynamics in spin-orbit-coupled nanostructures
• Curl flux, coherence, and population landscape of molecular systems: Nonequilibrium quantum steady state, energy (charge) transport, and thermodynamics
• Spin-Hall effect and spin-Coulomb drag in doped semiconductors
• Spin Hall effect in the kagome lattice with Rashba spin-orbit interaction
• Counterintuitive gate dependence of weak antilocalization in bilayer graphene/WSe${}_2$ heterostructures
• Time-reversal symmetry breaking driven topological phase transition in EuB${}_6$
• Emergent gauge fields from curvature in single layers of transition-metal dichalcogenides
• Non-Abelian BF theory for 2+1 dimensional topological states of matter
• Progress and prospects in the quantum anomalous Hall effect
• Monodromy Defects in Free Field Theories
• Models of three-dimensional fractional topological insulators
• 1/4 is the new 1/2 when topology is intertwined with Mottness
• Berry Curvature in Graphene: A New Approach
• Coupled-wire constructions: a Luttinger liquid approach to topology
• Topological phases in Iridium oxide superlattices: quantized anomalous charge or valley Hall insulators
• Large magnetoresistance and non-zero Berry phase in the nodal-line semimetal MoO2
• Engineering electronic structure of a 2D topological insulator Bi(111) bilayer on Sb nanofilms by quantum confinement effect
• Quantum Field Theory Anomalies in Condensed Matter Physics
• Vortex states and Majorana fermions in spin-orbit coupled semiconductor-superconductor hybrid structures
• Corner states of topological fullerenes
• Colloidal topological insulators
• Nonvanishing sub-gap photocurrent as a probe of lifetime effects
• Topological photonic alloy
• Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
• Coupling charge and topological reconstructions at polar oxide interfaces
• Induced spin texture in semiconductor/topological insulator heterostructures
• Quantum-oscillation-modulated angular dependences of the positive longitudinal magnetoconductivity and planar Hall effect in Weyl semimetals
• Bulk-edge and bulk-hinge correspondence in inversion-symmetric insulators
• Half-metallic Surface States and Topological Superconductivity in NaCoO${}_2$ from first principles
• Exciting Reflectionless Unidirectional Edge Modes in a Reciprocal Photonic Topological Insulator Medium
• Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
• Superintegrability of Geodesic Motion on the Sausage Model
• An isolated Dirac cone on the surface of ternary tetradymite-like topological insulators
• Reentrant topological phases in Mn-doped HgTe quantum wells
• Transferring MBE-grown topological insulator films to arbitrary substrates and Metal-insulator transition via Dirac gap
• Topologically protected pseudospins in 2D spring-mass system
• The Berry phase of dislocations in graphene and valley conserving decoherence
• General phase spaces: from discrete variables to rotor and continuum limits
• Quantum many-body topology of quasicrystals
• Topological Insulators and Quantum Spin Liquids
• Berry curvature induced magnetotransport in 3D noncentrosymmetric metals
• Topological Insulators and Superconductors from String Theory
• Antiferromagnetic topological insulator state in the correlated Bernevig-Hughes-Zhang model
• Spin current pumping in helical Luttinger liquids
• Mesoscopic transport in two-dimensional topological insulators
• Quantum tunneling through planar p-n junctions in HgTe quantum wells
• Single Dirac-cone on the Cs-covered topological insulator surface Sb2Te3(0001)
• Tunnel junction of helical edge states: Determining and controlling spin-preserving and spin-flipping processes through transconductance
• Thickness dependent electronic structure in WTe${}_2$ thin films
• The Electromagnetic Green's Function for Layered Topological Insulators
• Symmetry-protected topological states for interacting fermions in alkaline-earth-like atoms
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• Time-reversal symmetric Kitaev model and topological superconductor in two dimensions
• Thermal Transport for Probing Quantum Materials
• Probing topological transitions in HgTe/CdTe quantum wells by magneto-optical measurements
• Three-dimensional topological insulators: A review on host materials
• Analytic Theory of Edge Modes in Topological Insulators
• Coherent generation and detection of acoustic phonons in topological nanocavities
• Detection of Majorana edge states in topological superconductors through the non-Fermi-liquid effects induced in an interacting quantum dot
• High-frequency nonlinear transport and photogalvanic effects in two-dimensional topological insulators
• Experimental observation of dynamical bulk-surface correspondence for topological phases
• Topological Protection from Random Rashba Spin-Orbit Backscattering: Ballistic Transport in a Helical Luttinger Liquid
• In-plane noncollinear exchange coupling mediated by helical edge states in Quantum Spin Hall system
• Gapless insulating edges of dirty interacting topological insulators
• Anomalous Transport in Sketched Nanostructures at the LaAlO3/SrTiO3 Interface
• Helical Quantum Edge Gears in 2D Topological Insulators
• Anomalous Floquet Chiral Topological Superconductivity in a Topological Insulator Sandwich Structure
• An optimal topological spin pump
• Observation of topological gravity-capillary waves in a water wave crystal
• Density-dependent synthetic magnetism for ultracold atoms in optical lattices
• Topological Order in an Entangled SU(2)$\otimes$XY Spin-Orbital Ring
• Realizing non-Abelian gauge potentials in optical square lattices: Application to atomic Chern insulators
• Growth and Thermo-driven Crystalline Phase Transition of Metastable Monolayer 1T'-WSe2 Thin Film
• Gap closing and universal phase diagrams in topological insulators
• Extended Bloch theorem for topological lattice models with open boundaries
• All-Electrical Generation of Spin-Polarized Currents in Quantum Spin Hall Insulators
• Isotropic Landau levels of Dirac fermions in high dimensions
• Engineering quantum spin Hall insulators by strained-layer heterostructures
• Progress in epitaxial thin-film Na3Bi as a topological electronic material
• The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
• Interaction Driven Quantum Phase Transitions in Fractional Topological Insulators
• Topological insulators based on HgTe
• Exact edge, bulk and bound states of finite topological systems
• Dirac fermion quantization on graphene edges: Isospin-orbit coupling, zero modes and spontaneous valley polarization
• Chiral Topological Insulator on Nambu 3-Algebraic Geometry
• Dissipative analog of four-dimensional quantum Hall physics
• Spin Chern Pumping from the Bulk of Two-Dimensional Topological Insulators
• Magnetic field induced Valley-Polarized Quantum Anomalous Hall Effects in Ferromagnetic van der Waals Heterostructures
• Majorana fermions in s-wave noncentrosymmetric superconductor with Rashba and Dresselhaus (110) spin-orbit couplings
• Three-dimensional topological phases in a layered honeycomb spin-orbital model
• Confinement and Fermion Doubling Problem in Dirac-like Hamiltonians
• Helical nuclear spin order in two-subband quantum wires
• The Wannier Function Software Ecosystem for Materials Simulations
• Realization of a one-dimensional topological insulator in ultrathin germanene nanoribbons
• Reflections on the Matter of 3d $\mathcal{N}=1$ Vacua and Local $Spin(7)$ Compactifications
• Filtering of spin currents based on ballistic ring
• Gapless edge states of BF field theory and translation-symmetric Z2 spin liquids
• Excitonic Laughlin States in Ideal Topological Insulator Flat Bands and Possible Presence in Moiré Superlattice Materials
• Boundaries of boundaries: a systematic approach to lattice models with solvable boundary states of arbitrary codimension
• Strongly anisotropic spin response as a signature of the helical regime in Rashba nanowires
• First principles feasibility assessment of a topological insulator at the InAs/GaSb interface
• Edge states of a three-dimensional topological insulator
• Spin injection into a metal from a topological insulator
• A Topological Spin Chern Pump
• Unification of topological invariants in Dirac models
• No-go theorem for topological insulators and sure-fire recipe for Chern insulators
• The anisotropic Harper-Hofstadter-Mott model: competition between condensation and magnetic fields
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Holographic fractional topological insulators in 2+1 and 1+1 dimensions
• Gauge symmetry breaking and topological quantization for the Pauli Hamiltonian
• Topological meaning of Z${}_2$ numbers in time reversal invariant systems
• Epitaxial Growth of Quasi-One-Dimensional Bismuth-Halide Chains with Topological Non-Trivial Edge States
• Cooper-pair transistor as a minimal topological quantum circuit
• Determination of the spin orientation of helical electrons in monolayer WTe2
• Topological proximity effects in a Haldane-graphene bilayer system
• Topological Vortex Phase Transitions in Iron-Based Superconductors
• Impurity scattering on the surface of topological insulator thin films
• Single-electron coherence: finite temperature versus pure dephasing
• Transition from insulating to metallic phase induced by in-plane magnetic field in HgTe quantum wells
• Collective modes of spin-orbit coupled Fermi gases in the repulsive regime
• Unconventional superconductivity and anomalous response in hole-doped transition metal dichalcogenides
• Transport across a junction of topological insulators and a superconductor
• Finite-temperature topological phase transitions of spin-$j$ systems in Uhlmann processes: General formalism and experimental protocols
• Dissipationless Spin Current between Two Coupled Ferromagnets
• Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
• Generation of higher-order topological insulators using periodic driving
• Interaction driven quantum phase transition in fractional quantum spin Hall effects
• Towards Layer-Selective Quantum Spin Hall Channels in Weak Topological Insulator Bi4Br2I2
• Strain-tunable topological quantum phase transition in buckled honeycomb lattices
• Detecting and identifying 2D symmetry-protected topological, symmetry-breaking and intrinsic topological phases with modular matrices via tensor-network methods
• The Z_2 network model for the quantum spin Hall effect: two-dimensional Dirac fermions, topological quantum numbers, and corner multifractality
• Magnetic Topological Kagome Systems
• Spin-Polarized Fractional Corner Charges and Their Photonic Realization
• Interaction and disorder effects in 3D topological insulator thin films
• Landau Levels of the Euler Class Topology
• Tunneling between Two Helical Superconductors via Majorana Edge Channels
• Topological Insulator Magnetic Tunnel Junctions: Quantum Hall Effect and Fractional Charge via Folding
• 3D Dynamics of 4D Topological BF Theory With Boundary
• Bending Strain Engineering of Spin Transport in Quantum Spin Hall Systems: Topological Nano-mechanospintronics
• Long-lived domain wall plasmons in gapped bilayer graphene
• Halperin States of Particles and Holes in Ideal Time Reversal Invariant Pairs of Chern Bands and The Fractional Quantum Spin Hall Effect in Moiré MoTe${}_2$
• Gate-controlled one-dimensional channel on the topological surface
• Renormalization of anticrossings in interacting quantum wires with Rashba and Dresselhaus spin-orbit couplings
• Observation of backscattering induced by magnetism in a topological edge state
• Observation of Time-Reversal Invariant Helical Edge-Modes in Bilayer Graphene/WSe${}_2$ Heterostructure
• Energy gap tuning and gate-controlled topological phase transition in InAs/In${}_x$Ga${}_{1-x}$Sb composite quantum wells
• Electrostatic effects and band-bending in doped topological insulators
• Topological Invariants and Ground-State Wave Functions of Topological Insulators on a Torus
• Topological winding properties of spin edge states in Kane-Mele graphene model
• Quantum Transport and Potential of Topological States for Thermoelectricity in Bi${}_2$Te${}_3$ Thin Films
• Gapped symmetric edges of symmetry protected topological phases
• Entanglement Chern number for an extensive partition of a topological ground state
• Colossal anisotropy in diluted magnetic topological insulators
• Does delta-$T$ noise probe quantum statistics?
• Sublattice-enriched tunability of bound states in second-order topological insulators and superconductors
• Symmetry protected topological orders of 1D spin systems with D2+T symmetry
• New gapped quantum phases for S=1 spin chain with D2h symmetry
• Bulk-edge correspondence, spectral flow and Atiyah-Patodi-Singer theorem for the Z2-invariant in topological insulators
• Coulomb drag between helical edge states
• Emergence of Topological and Strongly Correlated Ground States in trapped Rashba Spin-Orbit Coupled Bose Gases
• Spin quantum Hall effects in a spin-1 topological paramagnet
• Majorana fermions at odd junctions in a wire network of ferromagnetic impurities
• Orbitronics in Two-dimensional Materials
• Effect of magnetic field on a magnetic topological insulator film with structural inversion asymmetry
• Quantum capacitance of an ultrathin topological insulator film in a magnetic field
• Polarization-dependent and Valley-protected Lamb Waves in Asymmetric Pillared Phononic Crystals
• New Group V Elemental Bilayers: A Tunable Structure Model with 4,6,8-atom Rings
• Realization of a double-slit SQUID geometry by Fermi arc surface states in a WTe${}_2$ Weyl semimetal
• Topological phase transition in magnon bands in a honeycomb ferromagnet driven by sublattice symmetry breaking
• Dynamic process and Uhlmann process: Incompatibility and dynamic phase of mixed quantum states
• Topological phase transition and two dimensional topological insulators in Ge-based thin films
• Two-dimensional topological insulator state in double HgTe quantum well
• Strong-coupling charge density wave in a one-dimensional topological metal
• (3+1)-dimensional topological quantum field theory from a tight-binding model of interacting spinless fermions
• Crystal Symmetry Selected Pure Spin Photocurrent in Altermagnetic Insulators
• Discovery of a magnetic Dirac system with large intrinsic non-linear Hall effect
• Fractional Chern Insulators in Twisted Bilayer MoTe${}_2$: A Composite Fermion Perspective
• Evidence on the macroscopic length scale spin coherence for the edge currents in a narrow HgTe quantum well
• Quantum Valley Hall effect without Berry curvature
• In-Plane Magnetoresistance on the Surface of Topological Insulator
• Orbital Magnetization of Quantum Spin Hall Insulator Nanoparticles
• Topology hierarchy of transition metal dichalcogenides built from quantum spin Hall layers
• Strongly anisotropic spin-orbit splitting in a two-dimensional electron gas
• Gallium Bismuth Halides GaBi-X2 (X= I, Br, Cl) Monolayers with Distorted Hexagonal Framework: Novel Room-Temperature Quantum Spin Hall Insulators
• Observation of magnetism induced topological edge state in antiferromagnetic topological insulator MnBi4Te7
• Formalism for the solution of quadratic Hamiltonians with large cosine terms
• Folding approach to topological orders enriched by mirror symmetry
• Phase transitions and scale invariance in topological Anderson insulators
• Detection of topological phase transitions through entropy measurements: the case of germanene
• Crystalline Responses for Rotation-Invariant Higher-Order Topological Insulators
• Topological Insulator in an Atomic Liquid
• Unified Topological Response Theory for Gapped and Gapless Free Fermions
• ${\mathbb{Z}}_2$ Spin Hopf Insulator: Helical Hinge States and Returning Thouless Pump
• Global phase diagram of two-component Bose gases in antiparallel magnetic fields
• Impurity bound states as detectors of topological band structures revisited
• Phase transitions in a holographic multi-Weyl semimetal
• Thermoelectric transport of perfectly conducting channels in two- and three-dimensional topological insulators
• Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
• Noise and current correlations in tunnel junctions of Quantum Spin Hall edge states
• A Topological SQUIPT based on helical edge states in proximity to superconductors
• Electron spin dynamics of two-dimensional layered materials
• Majorana zero modes bound to a vortex line in a topological superconductor
• Response to polarization and weak topology in Chern insulators
• Spin Hall Effect in Noncommutative Coordinates
• BF-theory in graphene: a route toward topological quantum computing?
• Eight fold quantum Hall phases in a time reversal symmetry broken tight binding model
• Interplay between boundary conditions and Wilson's mass in Dirac-like Hamiltonians
• Superconducting Quantum Interference in Edge State Josephson Junctions
• Point contacts and localization in generic helical liquids
• Proximity-induced superconductivity within the InAs/GaSb edge conducting state
• Hall conductivity as bulk signature of topological transitions in superconductors
• Probing dynamics of Majorana fermions in quantum impurity systems
• One-dimensional spin texture of Bi(441); Quantum Spin Hall properties without a topological insulator
• Rashba Sandwiches with Topological Superconducting Phases
• Quantum impurity coupled to Majorana edge fermions
• Demonstration of Dissipative Quasihelical Edge Transport in Quantum Anomalous Hall Insulators
• Nonlinear intensity dependence of terahertz edge photocurrents in graphene
• Spin generalizations of the Benjamin-Ono equation
• Shedding light on topological superconductors
• Topological insulators and topological non-linear sigma models
• Topological phase transition and quantum spin Hall state in TlBiS${}_2$
• Crossed Andreev Re ection in Quantum Wires with Strong Spin-Orbit Interaction
• Kramers' degeneracy for open systems in thermal equilibrium
• Phase diagram of two interacting helical states
• Charge density wave and finite-temperature transport in minimally twisted bilayer graphene
• Role of surface termination in realizing well-isolated topological surface states within the bulk band gap in TlBiSe${}_2$ and TlBiTe${}_2$
• Topological corner modes in a brick lattice with nonsymmorphic symmetry
• Non-adiabatic topological spin pumping
• Switchable large-gap quantum spin Hall state in two-dimensional MSi${}_2$Z${}_4$ materials class
• Drag force on a moving impurity in a spin-orbit coupled Bose-Einstein condensate
• Topological phase transitions of Thouless charge pumping realized in helical organic molecules with long-range hoppings
• Probing fractional topological insulators with magnetic edge perturbations
• Interaction Protected Topological Insulators with Time Reversal Symmetry
• Transversal Propagation Behaviors of Helical Edge States In a QSH System
• Edge photocurrent in bilayer graphene due to inter-Landau-level transitions
• Ferromagnetic phase transition in topological crystalline insulator thin films: interplay of anomalous Hall angle and magnetic anisotropy
• Evidence of topological edge states in a superconducting nonsymmorphic nodal-line semimetal
• Monopole Charge Density Wave States in Weyl Semimetals
• Competition of First-Order and Second-Order Topology on the Honeycomb Lattice
• Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic $t-J$ model
• Tuning the topological insulator states of artificial graphene
• Topological phases in Bi/Sb planar and buckled honeycomb monolayers
• Helical Majorana edge mode in a superconducting antiferromagnetic quantum spin Hall insulator
• Topological edge state engineering with high-frequency electromagnetic radiation
• Observation of time-reversal symmetric Hall effect in graphene-WSe2 heterostructures at room temperature
• Topological Dissipative Photonics and Topological Insulator Lasers in Synthetic Time-Frequency Dimensions
• Transport properties of spin-triplet superconducting monolayer $Mo{S}_2$
• Time-Reversal Invariant Topological Moiré Flatband: A Platform for the Fractional Quantum Spin Hall Effect
• Floquet second-order topological Anderson insulator hosting corner localized modes
• Phase-coherent transport in catalyst-free vapor phase deposited Bi${}_2$Se${}_3$ crystals
• Non-Abelian spin Hall insulator
• Signatures of the Helical Phase in the Critical Fields at Twin Boundaries of Non-Centrosymmetric Superconductors
• Interaction-enhanced magnetically ordered insulating state at the edge of a two-dimensional topological insulator
• Hole Spin Helix: Anomalous Spin Diffusion in Anisotropic Strained Hole Quantum Wells
• Universal Quantization of Magnetic Susceptibility Jump at Topological Phase Transition
• Reentrant quantum anomalous Hall effect with in-plane magnetic fields in HgMnTe quantum wells
• Spin Hall insulators beyond the Helical Luttinger model
• 2D and 3D topological phases in BiTe$X$ compounds
• Nonequilibrium noise correlations in a point contact of helical edge states
• Global and Local Topological Quantized Responses from Geometry, Light and Time
• Chemical Principles of Intrinsic Topological Superconductors
• Multicriticality, Metastability, and Roton Feature in Bose-Einstein Condensates with Three-Dimensional Spin-Orbit Coupling
• Transport through quantum spin Hall insulator/metal junctions in graphene ribbons
• Searching for topological density wave insulators in multi-orbital square lattice systems
• Majorana fermions manifested as interface-states in semiconductor hybrid structures
• Interaction-induced crystalline topology of excitons
• Analytical approach for the Mott transition in the Kane-Mele-Hubbard model
• Fractional Spin Hall Effect in Atomic Bose Gases
• Irreducible Projective Representations and Their Physical Applications
• Topological nature of higher-order hinge states revealed by spin transport
• Engineering topological phases in triple HgTe/CdTe quantum wells
• Edge stability and edge quantum criticality in 2D interacting topological insulators
• Magnetism-induced massive Dirac spectra and topological defects in the surface state of Cr-doped Bi${}_2$Se${}_3$-bilayer topological insulators
• Living on the edge: Topology, electrostatics and disorder
• Geometry of reduced density matrices for symmetry-protected topological phases
• Electric control of inverted gap and hybridization gap in type II InAs/GaSb quantum wells
• Quantized Nonlinear Transport with Ultracold Atoms
• Conductance distributions in disordered quantum spin-Hall systems
• Fabry-Pérot resonant vortices and magnetoconductance in topological insulator constrictions with magnetic barriers
• One-dimensional non-interacting topological insulators with chiral symmetry
• Nonlocal conductance reveals helical superconductors
• Localization-Driven Correlated States of Two Isolated Interacting Helical Edges
• Synchronous and Asynchronous Mott Transitions in Topological Insulator Ribbons
• Signature of Phase Transitions in the Disordered Quantum Spin Hall State From the Entanglement Spectrum
• Coulomb drag between helical Luttinger liquids
• Higher angular momentum band inversions in two dimensions
• Quantum spin Hall effect protected by spin U(1) quasisymmetry
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Anisotropic non-linear optical response of nodal loop materials
• Antiferromagnetic Chern insulator in centrosymmetric systems
• Spin Hall Effect and Spin Orbit coupling in Ballistic Nanojunctions
• Fast electrically switchable large gap quantum spin Hall states in MGe${}_2$Z${}_4$
• Phase transitions in intrinsic magnetic topological insulator with high-frequency pumping
• Spontaneous breaking of time-reversal symmetry in topological insulators
• Topological Crystalline Bose Insulator in Two Dimensions via Entanglement Spectrum
• Topological phase transitions with and without energy gap closing
• Topological Corner States in Graphene by Bulk and Edge Engineering
• Diffusive-Ballistic Crossover and the Persistent Spin Helix
• Breakdown of helical edge state topologically protected conductance in time-reversal-breaking excitonic insulators
• Spontaneous Layer Polarization and Conducting Domain Walls in the Quantum Hall Regime of Bilayer Graphene
• Time-reversal Invariant SU(2) Hofstadter Problem in Three Dimensional Lattices
• Gate-tunable Electronic Transport in p-type GaSb Quantum Wells
• Kane-Mele Hubbard model on a zigzag ribbon: stability of the topological edge states and quantum phase transitions
• Experimental observation of topological transitions in interacting multi-spin systems
• Vortices and vortex states in Rashba spin-orbit-coupled condensates
• Anomaly-induced sound absorption in Weyl semimetals
• Magnetoresistance and Kondo effect in the nodal-line semimetal VAs${}_2$
• Localized States and Quantum Spin Hall Effect in Si-Doped InAs/GaSb Quantum Wells
• Two-Dimensional Higher-Order Topological Metals
• Axial anomaly in nonlinear conformal electrodynamics
• Structural phase transition in monolayer gold(I) telluride: From a room-temperature topologicalinsulator to an auxetic semiconductor
• Transport via double constrictions in integer and fractional topological insulators
• Thermoelectric and optical probes for a Fermi surface topology change in noncentrosymmetric metals
• Emergence of Dirac-like bands in the monolayer limit of epitaxial Ge films on Au(111)
• Uhlmann phase of coherent states and the Uhlmann-Berry correspondence
• Thermal conductivity of local moment models with strong spin-orbit coupling
• Unidirectional light transport in dynamically modulated waveguides
• Squeezing-induced Topological Gap Opening on Bosonic Bogoliubov Excitations
• Characterization of topological insulators based on the electronic polarization with spiral boundary conditions
• Geometric phases of mixed quantum states: A comparative study of interferometric and Uhlmann phases
• Minimal Fractional Topological Insulator in half-filled conjugate moiré Chern bands
• Glide Symmetry Protected Higher-Order Topological Insulators from Semimetals with butterfly-like Nodal Lines
• Effects of disorder on electron tunneling through helical edge states
• Discovery of a Topological Charge Density Wave
• Interacting weak topological insulators and their transition to Dirac semimetal phases
• Transport in magnetically doped topological insulators: Effects of magnetic clusters
• Conductance oscillations at the interface between a superconductor and the helical edge channel in a narrow HgTe quantum well
• Topological effective field theories for Dirac fermions from index theorem
• Protection of Edge transport in Quantum Spin Hall samples: Spin-Symmetry Based General Approach and Examples
• Quasiparticle excitations in a one-dimensional interacting topological insulator: Application for dopant-based quantum simulation
• Symmetry-Protected Topological Phase for Spin-Tensor-Momentum-Coupled Ultracold Atoms
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Topological Charge/spin density Wave in InAs/GaSb Quantum Wells under an In-plane Magnetic Field
• Suppression of topological Mott-Hubbard phases by multiple charge orders in the honeycomb extended Hubbard model
• Probing edge state conductance in ultra-thin topological insulator films
• Emergence of inductance and capacitance from topological electromagnetism
• Finite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace-Beltrami operator on manifolds with a boundary
• Experimental signatures of 3d fractional topological insulators
• Higher Chern numbers in multilayer ($\mathcal{N}\ge 2$) Lieb lattices: Topological transitions and quadratic band crossing lines
• Plasmons in Two-Dimensional Topological Insulators
• Zitterbewegung of a heavy hole in presence of spin-orbit interactions
• Collective spin modes in Fermi liquids with spin-orbit coupling
• Revisiting the physical origin and nature of surface states in inverted-band semiconductors
• Localized surfaces of three dimensional topological insulators
• Monopole and Topological Electron Dynamics in Adiabatic Spintronic and Graphene Systems
• Spin-Orbit gauge and quantum spin Hall effect
• Composite helical edges from Abelian fractional topological insulators
• Tomonaga Luttinger liquid in the topological edge channel of multilayer FeSe
• Confining electrons on a topological insulator surface using potentials and a magnetic field
• Spin-Hall effect with quantum group symmetry
• Elastic backscattering of quantum spin Hall edge modes from Coulomb interactions with non-magnetic impurities
• Fragility of the fractional quantum spin Hall effect in quantum gases
• Wannier Topology and Quadrupole Moments for a generalized Benalcazar-Bernevig-Hughes Model
• Parity dependent Josephson current through a helical Luttinger liquid
• Quantized Topological Response in Trapped Quantum Gases
• Interaction effects in non-equilibrium transport properties of a four-terminal topological corner junction
• Emergence, evolution, and control of multistability in a hybrid topological quantum/classical system
• Accessing topological order in fractionalized liquids with gapped edges
• Violation and Revival of Kramers' Degeneracy in Open Quantum Systems
• Smearing of the quantum anomalous Hall effect due to statistical fluctuations of magnetic dopants
• Quantum oscillations in 2D electron gases with spin-orbit and Zeeman interactions
• Thin film of a topological insulator as a spin Hall insulator
• Topological quasi-one-dimensional state of interacting spinless electrons
• Residual gas absorption effect on the electronic structure of Cr-doped Bi2Se3
• Coherent control of photonic spin Hall effect in a Cavity
• Multi-frequency Shubnikov-de Haas oscillations in topological semimetal Pt${}_2$HgSe${}_3$
• Dirac-Kondo semimetals and topological Kondo insulators in the dilute carrier limit
• Entropy Signatures of Topological Phase Transitions
• A rigorous proof of non-existence of edge state in the semi-infinite armchair edged graphene
• Single-particle spectral function of fractional quantum anomalous Hall states
• Emergent topological fields and relativistic phonons within the thermoelectricity in topological insulators
• Connectivity of edge and surface states in topological insulators
• Dynamical spin-to-charge conversion on the edge of quantum spin Hall insulator
• Uhlmann quench and geometric dynamic quantum phase transition of mixed states
• Classical spins in topological insulators
• Quenching of Spin Hall Effect in Ballistic nano-junctions
• Band engineering of a magnetic thin film rare earth monopnictide
• Complex semiclassical theory for non-Hermitian quantum systems
• Topological bands in one-dimensional periodic potentials
• Effective model for massless Dirac electrons on a surface of weak topological insulators
• Topological Spin and Valley Pumping in Silicene
• Strain-assisted spin manipulating and the discerption of strain-induced spin splitting
• Suspension and Measurement of Graphene and Bi2Se3 Atomic Membranes
• Chern insulating phases and thermoelectric properties of EuO/MgO(001) superlattices
• A Z${}_2$ index of Dirac operator with time reversal symmetry
• Parity symmetry as the origin of 'spin' in the quantum spin Hall effect
• Off-resonant light-induced topological phase transition and thermoelectric transport in semi-Dirac materials
• Textured Exciton Insulators
• Tunneling valley Hall effect induced by coherent geometric phase
• Persistent currents and spin torque caused by percolated quantum spin Hall state
• Topological Mid-gap States of px+ipy Topological Superconductor with Vortex superlattice
• Multiple crossing of Landau levels of two-dimensional fermions in double HgTe quantum wells
• Multi higher-order Dirac and nodal line semimetals
• Exact description of the boundary theory of the Kitaev Toric Code with open boundary conditions
• Quantization of non-Abelian Berry phase for time reversal invariant systems
• Chern insulating state in laterally patterned semiconductor heterostructures
• Spin-triplet $f$-wave symmetry in superconducting monolayer $Mo{S}_2$
• Topological Quantum Criticality in Superfluids and Superconductors: Surface criticality, Thermal properties, and Lifshitz Majorana fields
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Spin-orbit coupling, edge states and quantum spin Hall criticality due to Dirac fermion confinement: The case study of graphene
• Effective theory of fractional topological insulators in two spatial dimensions
• Structure of the Entanglement Entropy of (3+1)D Gapped Phases of Matter
• ${\mathbb{Z}}_2$ topological invariants for mixed states of fermions in time-reversal invariant band structures
• Helical currents in metallic Rashba strips
• Signature of pressure-induced topological phase transition in ZrTe${}_5$
• Spinon quantum spin Hall state in the kagome antiferromagnet with a Dzyaloshinskii-Moriya interaction
• Gate-tunable imbalanced Kane-Mele model in encapsulated bilayer jacutingaite
• Fractionalized Metals and Superconductors in Three Dimensions
• Topological contribution to magnetism in the Kane-Mele model: An explicit wave function approach
• Universal Wilson Loop Bound of Quantum Geometry
• Hidden-symmetry-protected quantum pseudo-spin Hall effect in optical lattices
• Symmetry classes of dissipative topological insulators with edge dark state
• Topological crystalline protection in a photonic system
• The weak side of strong topological insulators
• Cyclotron resonance induced photogalvanic effect in surface states of 200 nm thick strained HgTe films
• Strained HgTe: a textbook 3D topological insulator
• Electrical modulation of the edge channel transport in topological insulators coupled to ferromagnetic leads
• Gate controlled Spin-Density Wave and Chiral FFLO Superconducting phases in interacting Quantum Spin Hall edge states
• Theory of Anomalous Floquet Higher-Order Topology: Classification, Characterization, and Bulk-Boundary Correspondence
• Hidden-symmetry-protected Z_2 topological insulator in a cubic lattice
• Direct observation of chiral edge current at zero magnetic field in odd-layer MnBi${}_2$Te${}_4$
• Rigidity of topological invariants to symmetry breakings
• Metallic states beyond Tomonaga-Luttinger liquids in one dimension
• Novel Majorana mode and magnetoresistance in ferromagnetic superconducting topological insulator
• Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
• Band alignment effect in the topological photonic alloy
• The tenfold way redux: Fermionic systems with $N$-body interactions
• Quantum spin Hall effect in III-V semiconductors at elevated temperatures: advancing topological electronics
• Diagnosis of topological nodal lines with nontrivial monopole charge in the presence of rotation symmetries
• A semimetallic square-octagon (fes) two-dimensional polymer with high mobility
• BCS pairing state of a Dilute Bose Gas with Spin-Orbit Coupling
• Relating the Hall conductivity to the many-body Chern number using Fermi's Golden rule and Kramers-Kronig relations
• $SO(5)$ Landau Model and 4D Quantum Hall Effect in The $SO(4)$ Monopole Background
• Long-distance decay-less spin transport in indirect excitons in a van der Waals heterostructure
• Bosonic Gaussian states from conformal field theory
• Fractional topological insulator precursors in spin-orbit fermion ladders
• Optical conductivity of topological Kondo insulating states
• Conductance suppression by nonmagnetic point defects in helical edge channels of two-dimensional topological insulators
• Light, the universe, and everything -- 12 Herculean tasks for quantum cowboys and black diamond skiers
• Fractional quantization of charge and spin in topological quantum pumps
• Plasmon modes in the magnetically doped Single Layer and Multilayers of Helical Metals
• Theory for Cd${}_3$As${}_2$ thin films in the presence of magnetic fields
• Nonequilibrium transport of helical Luttinger liquids through a quantum dot
• Alloying-induced topological transition in 2D transition-metal dichalcogenide semiconductors
• Spin transport properties of a quantum dot coupled to ferromagnetic leads with noncollinear magnetizations
• A topological Dirac insulator in a quantum spin Hall phase (experimental realization of a 3D Topological Insulator)
• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
• Topological Critical Materials of Ternary Compounds
• Realizing robust large-gap quantum spin Hall state in 2D HgTe monolayer on insulating substrate
• Electronic polarization in non-Bloch band theory
• Skyrmion nucleation on the surface of a topological insulator
• Edge spin transport in the disordered two-dimensional topological insulator WTe${}_2$
• A Passage to Topological Matter: Colloquium
• Chiral properties of topological-state loops
• Fermionic Symmetry Protected Topological Phase Induced by Interactions
• Electric field-induced edge state oscillations in GaSb/InAs quantum wells
• A topological classification of molecules and chemical reactions with a perplectic structure
• Detection of entanglement by helical Luttinger liquids
• Band manipulation and spin texture in interacting moiré helical edges
• Symmetry analysis of transport properties in helical superconductor junctions
• Three-dimensional topological insulators in the octahedron-decorated cubic lattice
• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Simulating Topological Robustness of Fano Resonance in Rotated Honeycomb Photonic Crystals
• A complementary screening for quantum spin Hall insulators in 2D exfoliable materials
• Electron-Hole Entanglement in a Quantum Spin Hall Insulator
• Magnetoelectric torque and edge currents caused by spin-orbit coupling
• Gauge fields at the surface of topological insulators
• Dual topological insulator with mirror symmetry protected helical edge states
• Quantum phase transitions and a disorder-based filter in a Floquet system
• Topology of Discrete Quantum Feedback Control
• Interaction-induced phase transitions at topological quantum criticality of an extended Su-Schrieffer-Heeger model
• Electrically tunable two-channel Kondo fixed points in helical liquids
• Effect of chiral selective tunneling on quantum transport in magnetic topological-insulator thin films
• Electron transport in a ferromagnetic/normal/ferromagnetic tunnel junction based on the surface of a topological insulator
• Transport in a thin topological insulator with potential and magnetic barriers
• Two-channel Kondo problem in coupled interacting helical liquids
• Competing edge structures of Sb and Bi bilayers by trivial and nontrivial band topologies
• Enhanced Spin-Orbit Coupling in a Correlated Metal
• Long-range spin transport on the surface of topological Dirac semimetal
• Zero-Energy State Localized near an Arbitrary Edge in Quadrupole Topological Insulators
• Interplay between intrinsic and emergent topological protection on interacting helical modes
• Topological bulk states and their currents
• Chern number spectrum of ultra-cold fermions in optical lattices tuned independently via artificial magnetic, Zeeman and spin-orbit fields
• Spin-dependent gain and loss in photonic quantum spin Hall systems
• Winding numbers of nodal points in Fe-based superconductors
• Eigenspectrum, Chern Numbers and Phase Diagrams of Ultracold Color-orbit Coupled SU(3) Fermions in Optical Lattices
• Artificial moiré engineering for an ideal BHZ model
• Spin separation due to an inherent spontaneous symmetry breaking of the fractional topological insulator
• Generalizations of Berry phase and differentiation of purified state and thermal vacuum of mixed states
• Topological electronic properties of silicon
• Transport signatures of surface potentials on three-dimensional topological insulators
• Counter-propagating Fractional Hall states in mirror-symmetric Dirac semi-metals
• Interaction dominated transport in 2D conductors: from degenerate to partially-degenerate regime
• Tunable multi-electron Pancharatnam phase in intensity interferometry
• Bulk Spin-Hall Effect
• Dynamical polarization and plasmons in noncentrosymmetric metals
• Electromagnetic response and emergent topological orders in transition metal dichalcogenide MoTe${}_2$ bilayers
• Faithful Simulation and Detection of Quantum Spin Hall Effect on Superconducting Circuits
• Observation of the possible chiral edge mode in Bi1-xSbx
• Asymmetric $d$-wave superconducting topological insulator in proximity with a magnetic order
• Sorting and Routing Topologically Protected Edge States by their Valleys
• Exciton Berryology
• Plasmons in Z2 Topological Insulators
• Tunneling spin Hall effect induced by unconventional $p$-wave magnetism
• Noncompact dynamical symmetry of a spin-orbit coupled oscillator
• Dynamics of impurity in the environment of Dirac fermions
• Double valley Dirac fermions for 3D and 2D Hg${}_{1-x}$Cd${}_x$Te with strong asymmetry
• Entanglement entropy and entanglement spectrum of Bi${}_{1-x}$Sb${}_x$ (111) bilayers
• Shear-resistant topology in quasi one-dimensional van der Waals material Bi${}_4$Br${}_4$
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Dominant Majorana bound energy and critical current enhancement in ferromagnetic-superconducting topological insulator
• Anomalous Decay of Quantum Resistance Oscillations of Two Dimensional Helical Electrons in Magnetic Field
• Robust Coulomb Gap and Varied-temperature Study of Epitaxial 1T'-WSe${}_2$ Monolayers
• Entanglement in topological systems
• Quantum Nonlinear Acoustic Hall Effect and Inverse Acoustic Faraday Effect in Dirac Insulators
• Synchrotron-radiation studies of topological insulators
• Magnetoexcitons and optical absorption of bilayer-structured topological insulators
• Solvable lattice model for (2+1)D bosonic topological insulator
• Weyl semimetallic state with antiferromagnetic order in Rashba-Hubbard model
• Anomalous in-gap edge states in two-dimensional pseudospin-1 Dirac insulators
• Marginally localized edges of time-reversal symmetric topological superconductors
• Functionalized Tellurene; a candidate large-gap 2D Topological Insulator
• Entangled multi-knot lattice model of anyon current
• Topological and magnetic properties of the interacting Bernevig-Hughes-Zhang model
• Spin Hall effect associated with SU(2) gauge field
• Quantized topological phases beyond square lattices in Floquet synthetic dimensions
• Pressure-induced Superconductivity in dual-topological semimetal Pt2HgSe3
• Probing surface states exposed by crystal terminations at arbitrary orientations of three-dimensional topological insulators
• Majorana bound state of a Bogoliubov-de Gennes-Dirac Hamiltonian in arbitrary dimensions
• Theory of topological defects and textures in two-dimensional quantum orders with spontaneous symmetry breaking
• Two-dimensional Fermi gas in antiparallel magnetic fields
• Tunneling phase diagrams in anisotropic Multi-Weyl semimetals
• Bosonic Integer Quantum Hall States without Landau Levels on Square Lattice
• Long-range perturbation of helical edge states by nonmagnetic defects in two-dimensional topological insulators
• Proximity-induced zero-energy states indistinguishable from topological edge states
• Universal properties of boundary and interface charges in multichannel one-dimensional continuum models
• Control of Plasmons in Topological Insulators via Local Perturbations
• Spin-polarized voltage probes for helical edge state: a model study
• Disorder effects in InAs/GaSb topological insulator candidates
• Dirac points merging and wandering in a model Chern insulator
• Tutorial: Topology, waves, and the refractive index
• Flat-band ferromagnetism in a correlated topological insulator on a honeycomb lattice
• On quasi-nodal spheres and the spin Hall effect: the case of YH3 and CaTe
• IrRep: symmetry eigenvalues and irreducible representations of ab initio band structures
• Light-induced Nonlinear Spin Hall Current in Single-layer WTe${}_2$
• Tilted Dirac Fermions
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• Topological and superconducting properties of two-dimensional C6-2x(BN)x biphenylene network: a first-principles investigation
• Exciton Condensation in Landau Levels of Quantum Spin Hall Insulators
• Topological phase in a $d_{x^2-y^2}+(p+ip)$ superconductor in presence of spin-density-wave
• Quantum spin Hall effect in bilayer honeycomb lattices with C-type antiferromagnetic order
• Symmetry-driven Intrinsic Nonlinear Pure Spin Hall Effect
• In-plane electric field effect on a spin-orbit coupled two-dimensional electron system in presence of magnetic field
• Color Superconductivity, Fermionic Quasinormal Modes in Reissner-Nordström-anti-de Sitter Spacetimes and Supersymmetry
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Interaction-controlled transport in a two-dimensional massless-massive Dirac system: Transition from degenerate to nondegenerate regimes
• Reentrant quantum spin Hall effect in the presence of an exchange field
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Magnetotransport properties of the Quantum Spin Hall and Quantum Hall states in an inverted HgTe/CdTe and InAs/GaSb quantum wells
• Anisotropic Penetration Depths of Corner States in a Higher-Order Topological Insulator
• Anomalous planar Hall effect in a kagome ferromagnet
• Theory of field-modulated spin-valley-orbital pseudospin physics
• Nonequilibrium Spectroscopy of Topological Edge Liquids
• Bound state and persistent currents in the presence of torsion and Rashba spin-orbit coupling
• A toy model for quantum spin Hall effect
• Spin separation in a T ballistic nanojunction due to lateral-confinement-induced spin-orbit-coupling
• Specular Andreev reflection at the edge of an InAs/GaSb double quantum well with band inversion
• Finite-temperature spectroscopy of dirty helical Luttinger liquids
• Universal intrinsic orbital dynamics from Berry curvature in electronic two-band systems
• Extended Dynamical Symmetries of Landau Levels in Higher Dimensions
• Gauge Dynamics and Topological Insulators
• Inductance Due to Spin Current
• Quantum Coherent Transport of 1D ballistic states in second order topological insulator Bi${}_4$Br${}_4$
• Mixed-state geometric phases of coherent and squeezed spin states
• Variational wavefunctions for fractional topological insulators
• Microscopic Theory of Nonlinear Hall Effect in Three-dimensional Magnetic Systems
• Su-Schrieffer-Heeger-Hubbard model at quarter filling: effects of magnetic field and non-local interactions
• Magneto-thermoelectricty of anisotropic two-dimensional materials
• Spin-orbit and impurity scattering in an integrable electron model: Exact results for dynamic correlations
• RKKY interaction in helical higher-order topological insulators
• Stabilizing period-doubled density waves by spin-orbit coupling in Bose-Einstein condensates in optical lattices
• Spin-Hall conductivity and optical characteristics of noncentrosymmetric quantum spin Hall insulators: the case of PbBiI
• Introduction to Topological Insulators
• Quantum Hall and Light Responses in a 2D Topological Semimetal
• Dephasing-Induced Stabilization of a Perfectly Conducting Channel in Disordered Graphene Nanoribbons with Zigzag Edges
• Integer effects in the entanglement and spin fluctuations of a quantum Hall system with Rashba interactions
• Anomalous Linear and Quadratic Nodeless Surface Dirac Cones in Three-Dimensional Dirac Semimetals
• Efficient method to calculate energy spectra for analysing magneto-oscillations
• Disorder and quantum transport of the helical quantum Hall phase in graphene
• Quantum critical points in tunneling junction of topological superconductor and topological insulator
• Seeing Quantum Fractals
• Electrically-detected single-spin resonance with Quantum Spin Hall edge states
• Quantum spin Hall effect in two-dimensional metals without spin-orbit coupling
• Braided Categorical Quantum Mechanics I
• Random-gate-voltage induced Al'tshuler-Aronov-Spivak effect in topological edge states
• Topologically Protected Photonic Modes in Composite Quantum Hall/Quantum Spin Hall Waveguides
• Visualizing topological transport
• Seeing topological edge and bulk currents in time-of-flight images
• Universal properties of boundary and interface charges in continuum models of one-dimensional insulators
• Topological phases protected by projective space-time inversion symmetry in alkaline-earth-metal-like atoms
• Weak topological insulators with step edges: Subband engineering and its effect on electron transport
• Systematic Construction of Interfaces and Anomalous Boundaries for Fermionic Symmetry-Protected Topological Phases
• Modular Anomalies in (2+1) and (3+1)-D Edge Theories
• Dirac topological insulator in the d${}_{z^2}$ manifold of a honeycomb oxide
• The Origin of Aromaticity: Aromatic Compounds as Intrinsic Topological Superconductors with Majorana Fermion
• Extended Haldane model -- a modern gateway to topological insulators
• Effective field theory for the bulk-edge correspondence in a two-dimensional Z_2 topological insulator with Rashba interactions
• Electronic Manipulation of Magnon Topology by Chirality Injection from Boundaries
• Thermal dissipation of the quantum spin Hall edge states in HgTe/CdTe quantum well
• Valence Bond Phases in $S=1/2$ Kane-Mele-Heisenberg Model
• Edge Solitons in a Nonlinear Mechanical Topological Insulator
• Uhlmann and scalar Wilczek-Zee phases of degenerate quantum systems
• Topological transition in monolayer blue phosphorene with transiton-metal adatom under stain
• Resonant helical multi-edge transport in Sierpiński carpets
• Landau levels on a surface of weak topological insulators
• First and second-order metal-insulator phase transitions and topological aspects of a Hubbard-Rashba system
• GaSbBi alloys and heterostructures: fabrication and properties
• Strain-engineering quantum anomalous Hall effect in janus MnBi2SexTe4-x monolayers
• Emergent gapless spiral phases and conformal Lifshitz criticality in the cluster Ising model with off-diagonal interactions
• Universal Chern number statistics in random matrix fields
• Interplay between strain and size quantization in a class of topological insulators based on inverted-band semiconductors
• Topological insulator in junction with ferromagnets: quantum Hall effects
• Two-dimensional imbalanced Fermi gas in antiparallel magnetic fields
• Real-space topology and charge order in the Haldane-Holstein Model
• First Principles Prediction of Topological Phases in Thin Films of Pyrochlore Iridates
• Network model for magnetic higher-order topological phases
• Regularized universal topological markers for Dirac systems
• Thermal and electrical quantum Hall effects in ferromagnet-topological insulator-ferromagnet junction
• Quantized nonlinear transport and its breakdown in Fermi gases with Berry curvature
• Coalescence of Andreev bound states on the surface of a chiral topological semimetal
• A semi-classical analysis of Dirac fermions in 2+1 dimensions
• Origin of Robust ${\mathbb{Z}}_2$ Topological Phases in Stacked Hermitian Systems: Non-Hermitian Level Repulsion
• Analytical theory and possible detection of the $ac$ quantum spin Hall effect
• Non-Abelian interference of topological edge states
• Topological phase transition based on the attractive Hubbard model
• Anomalous gapped boundaries between surface topological orders in higher-order topological insulators and superconductors with inversion symmetry
• Fractional charge and statistics in the fractional quantum spin Hall effect
• First-principles modeling of electrostatics and transport in 2D topological transistors
• Floquet engineering of spin-valley selective transport in jacutingaite
• Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response
• Emergent Symmetry-Protected Topological Phases via Polyakov Confinement in Quantum Spin Systems
• Non-self-averaging topological Anderson insulator
• Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm
• Symmetric localization of ${\nu }_{\text{tot}}=4/3$ fractional topological insulator edges
• Layer-number parity induced topological phase transition
• Geometrical Construction of Supertwistor Theory
• Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices
• Quantum Spin Hall Effect in Electric and Magnetic Fields without Spin-Orbit Coupling
• Finite-frequency admittance and noise of a helical edge coupled to a magnet
• Spin responses of a disordered helical superconducting edge under Zeeman field
• Quantum anomalous Hall effect with high Chern number in two dimensional ferromagnets Ti2TeSO
• Topological energy pumping in a quasi-periodically driven four-level system
• Electronic correlations in magnetized helical edge states coupled to s-wave superconductors
• Emergent Symmetry and Phase Transitions on the Domain Wall of ${\mathbb{Z}}_2$ Topological Orders
• Introduction to abelian anyons in planar systems
• Interactions-controlled magnetotransport in two-dimensional massless-massive fermion mixtures
• Tuning between a fractional topological insulator and competing phases at ${\nu }_{\mathrm{T}}=2/3$
• Spin adaptation of the cumulant expansions of reduced density matrices
• Designing atomic-scale resistive circuits in topological insulators through vacancy-induced localized modes
• Engineering stacking-induced topological phase transitions in bilayer heterostructures
• Interlayer current near the edge of an InAs/GaSb double quantum well in proximity with a superconductor
• Induced robust topological order on an ordinary insulator hetero-structured with a strong topological insulator
• Universal quantum operation of spin-3/2 Blume-Capel chains
• Systematic study for two-dimensional $Z_2$ topological phase transitions at high-symmetry points in all layer groups
• Surface topological quantum criticality: Conformal manifolds and Discrete Strong Coupling Fixed Points
• A non-magnetic mechanism of backscattering in helical edge states
• Local Density of States in a Helical Tomonaga-Luttinger Liquid of Loop and Josephson Junction Geometries
• Counterpropagating topological and quantum Hall edge channels
• Localization and entanglement characterization of edge states in HgTe quantum wells in a finite strip geometry
• Observation of the topological edge state in X-ray band
• Topology behind topological insulators
• Non-Commutative Geometry in Higher Dimensional Quantum Hall Effect as A-Class Topological Insulator
• Correlated disorder induced anomalous transport in magnetically doped topological insulators
• Detecting degenerate bands topological invariants in optical lattice
• Control of Plasmons in Doped Topological Insulators via Basis Atoms
• Interferometric Geometric Phases of $\mathcal{P}\mathcal{T}$-symmetric Quantum Mechanics
• Lattice-induced wavefunction effects on trapped superfluids
• Vortex lattices in binary Bose-Einstein condensates: Collective modes, quantum fluctuations, and intercomponent entanglement
• Signatures of Fractional Quantum Hall States in Topological Insulators
• Realizing attractive interacting topological surface fermions: A resonating TI- thin film hybrid platform
• Tunable SSH model in ferromagnetic systems
• Self-Dual Vortices in the Fractional Quantum Hall System
• To See a World in a Grain of Sand -- The Scientific Life of Shoucheng Zhang
• Robust large-gap topological insulator phase in transition-metal chalcogenide ZrTe${}_4$Se
• Signatures of Topological Phase Transition in 3d Topological Insulators from Dynamical Axion Response
• Periodic Structures with Rashba Interaction in Magnetic Field
• Anomalous Currents on Closed Surfaces: Extended Proximity, Partial Quantization, and Qubits
• Hofstadter Butterflies in Topological Insulators
• Optical conductivity of the topologically-nontrivial MXenes, Mo${}_2$HfC${}_2$O${}_2$ and W${}_2$HfC${}_2$O${}_2$: first-principles calculation and effective model analysis
• Magnetotransport in a 2D Hybrid Band System: Dirac and Heavy Hole Interplay
• The dynamics on the three-dimensional boundary of the 4D Topological BF model