Topological Field Theory of Time-Reversal Invariant Insulators

Abstract

We show that the fundamental time reversal invariant (TRI) insulator exists in 4+1 dimensions, where the effective field theory is described by the 4+1 dimensional Chern-Simons theory and the topological properties of the electronic structure is classified by the second Chern number. These topological properties are the natural generalizations of the time reversal breaking (TRB) quantum Hall insulator in 2+1 dimensions. The TRI quantum spin Hall insulator in 2+1 dimensions and the topological insulator in 3+1 dimension can be obtained as descendants from the fundamental TRI insulator in 4+1 dimensions through a dimensional reduction procedure. The effective topological field theory, and the $Z_2$ topological classification for the TRI insulators in 2+1 and 3+1 dimensions are naturally obtained from this procedure. All physically measurable topological response functions of the TRI insulators are completely described by the effective topological field theory. Our effective topological field theory predicts a number of novel and measurable phenomena, the most striking of which is the topological magneto-electric effect, where an electric field generates a magnetic field in the same direction, with an universal constant of proportionality quantized in odd multiples of the fine structure constant $\alpha =e^2/\hslash c$. Finally, we present a general classification of all topological insulators in various dimensions, and describe them in terms of a unified topological Chern-Simons field theory in phase space.

47 pages, 21 figures. Submitted to PRB. For high resolution figures please see final published version

References in corpus (12)

• 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
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• Helical edge and surface states in HgTe quantum wells and bulk insulators
• Spin-charge Separated Solitons in a Topological Band Insulator
• Spin Charge Separation in the Quantum Spin Hall State
• Irrational vs. rational charge and statistics in two-dimensional quantum systems

Cited by in corpus (841)

• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Topological Photonics
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Topological characterization of periodically-driven quantum systems
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• Dirac materials
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Nearly-flat bands with nontrivial topology
• Topological response in Weyl semimetals and the chiral anomaly
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Antiferromagnetic topological insulators
• Gate-Voltage Control of Chemical Potential and Weak Anti-localization in Bismuth Selenide
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Topological origin of subgap conductance in insulating bilayer graphene
• Two-dimensional Dirac fermions in a topological insulator: transport in the quantum limit
• Exploring Topological Phases With Quantum Walks
• Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
• Topology of crystalline insulators and superconductors
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Colloquium: Quantum anomalous Hall effect
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Progress and prospects in magnetic topological materials
• Novel Topological Phase with Zero Berry Curvature
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• Bulk Band Gap and Surface State Conduction Observed in Voltage-Tuned Crystals of the Topological Insulator Bi${}_2$Se${}_3$
• Z2Pack: Numerical Implementation of Hybrid Wannier Centers for Identifying Topological Materials
• Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator
• First Principles Studies on 3-Dimentional Strong Topological Insulators: Bi2Te3, Bi2Se3 and Sb2Te3
• One-dimensional Topological Edge States of Bismuth Bilayers
• Topological quantum matter in synthetic dimensions
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Ultrafast Optical Excitation of a Persistent Surface-State Population in the Topological Insulator Bi2Se3
• Half-Heusler Compounds as a New Class of Three-Dimensional Topological Insulators
• Higher-order Topology of Axion Insulator EuIn${}_2$As${}_2$
• Precise quantization of anomalous Hall effect near zero magnetic field
• Topological Non-Hermitian skin effect
• Topological Insulators on the Lieb and Perovskite Lattices
• Surface State Transport and Ambipolar Electric Field Effect in Bi2Se3 Nanodevices
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Exciton condensation and charge fractionalization in a topological insulator film
• Imaging Dirac-Mass Disorder from Magnetic Dopant-Atoms in the Ferromagnetic Topological Insulator Cr${}_x$(Bi${}_{0.1}$Sb${}_{0.9}$)${}_{2-x}$Te${}_3$
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• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Topological invariance and global Berry phase in non-Hermitian systems
• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Unexpected mass acquisition of Dirac fermions at the quantum phase transition of a topological insulator
• Simplified topological invariants for interacting insulators
• Ultrafast surface carrier dynamics in the topological insulator Bi2Te3
• Axion Electrodynamics in Topological Materials
• Twisted Quantum Double Model of Topological Phases in Two--Dimension
• Correlation effects in two-dimensional topological insulators
• Topological Anderson Insulator in Three Dimensions
• All Topological Bands of All Nonmagnetic Stoichiometric Materials
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Ordering of magnetic impurities and tunable electronic properties of topological insulators
• Topological Materials Discovery from Crystal Symmetry
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Tailoring tricolor structure of magnetic topological insulator for robust axion insulator
• Direct Measurement of the Out-of-Plane Spin Texture in the Dirac Cone Surface State of a Topological Insulator
• Topological insulators and thermoelectric materials
• Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals
• Tunable Casimir repulsion with three dimensional topological insulators
• Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge
• Light control with Weyl semimetals
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Choreographed entangle dances: topological states of quantum matter
• Topological orbital ladders
• Above 400 K Robust Perpendicular Ferromagnetic Phase in a Topological Insulator
• Fractional topological insulators in three dimensions
• Orbital analogue of quantum anomalous Hall effect in $p$-band systems
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Interplay between ferromagnetism, surface states, and quantum corrections in a magnetically doped topological insulator
• Three-Dimensional Topological Insulators in I-III-VI${}_2$ and II-IV-V${}_2$ Chalcopyrite Semiconductors
• Theory of orbital magnetoelectric response
• Giant Anisotropic Magnetoresistance in a Quantum Anomalous Hall Insulator
• Nonlinear optical probe of tunable surface electrons on a topological insulator
• Large-gap magnetic topological heterostructure formed by subsurface incorporation of a ferromagnetic layer
• Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
• Interaction effects and quantum phase transitions in topological insulators
• Chern Number Tunable Quantum Anomalous Hall Effect in Monolayer Transitional Metal Oxides via Manipulating Magnetization Orientation
• Experimental signature of parity anomaly in semi-magnetic topological insulator
• Electronic Structures and Surface States of Topological Insulator Bi${}_{1-x}$Sb${}_x$
• Theory of Twist Liquids: Gauging an Anyonic Symmetry
• Topological Hofstadter Insulators in a Two-Dimensional Quasicrystal
• Deep Learning the Quantum Phase Transitions in Random Two-Dimensional Electron Systems
• Topological field theory and thermal responses of interacting topological superconductors
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Chemical potential dependent gap-opening at the Dirac surface states of Bi2Se3 induced by aggregated substitutional Cr atoms
• Higher-Spin Witten Effect and Two-Dimensional Fracton Phases
• Topological and geometrical aspects of band theory
• Magnetic orders and topological phases from f-d exchange in pyrochlore iridates
• Average Symmetry-Protected Topological Phases
• Two-Dimensional Density-Matrix Topological Fermionic Phases: Topological Uhlmann Numbers
• Sign-reversible valley-dependent Berry phase effects in 2D valley-half-semiconductors
• Topological collective plasmons in bipartite chains of metallic nanoparticles
• Symmetry Protected Topological States of Interacting Fermions and Bosons
• Large Anomalous Hall Effect in Topological Insulators with Proximitized Ferromagnetic Insulators
• Why is the bulk resistivity of topological insulators so small?
• Metallic surface electronic state in half-Heusler compounds RPtBi (R = Lu, Dy, Gd)
• Surface magnetic ordering in topological insulators with bulk magnetic dopants
• Emergent topological phenomena in thin films of pyrochlore iridates
• Full electrical control of Charge and Spin conductance through Interferometry of Edge States in Topological Insulators
• Axion topological field theory of topological superconductors
• Electric-Magnetic Duality and Topological Insulators
• Boundary criticality of $PT$-invariant topology and second-order nodal-line semimetals
• Quantized topological terms in weak-coupling gauge theories with symmetry and their connection to symmetry enriched topological phases
• Experimental realization of single-plaquette gauge flux insertion and topological Wannier cycles
• Quantum oscillations and Berry's phase in topological insulator surface states with broken particle-hole symmetry
• Topological Andreev bands in three-terminal Josephson junctions
• Full magnetoelectric response of Cr2O3 from first principles
• 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
• Tutorial: synthetic frequency dimensions in dynamically modulated ring resonators
• Scaling of the Quantum Anomalous Hall Effect as an Indicator of Axion Electrodynamics
• Experimental Verification of Van Vleck Nature of Long-Range Ferromagnetic Order in Vanadium-Doped Three-Dimensional Topological Insulator Sb${}_2$Te${}_3$
• Bosonization and Mirror Symmetry
• Theory of photoinduced Floquet Weyl semimetal phases
• Surface spectral function in the superconducting state of a topological insulator
• Creation of Helical Dirac Fermions by Interfacing Two Gapped Systems of Ordinary Fermions
• Altermagnetic anomalous Hall effect emerging from electronic correlations
• Spin-helical transport in normal and superconducting topological insulators
• Abelian gauge theories on the lattice: $\theta$-terms and compact gauge theory with(out) monopoles
• Effect of finite temperature and uniaxial anisotropy on the Casimir effect with three-dimensional topological insulators
• Symmetry protected Spin Quantum Hall phases in 2-Dimensions
• Torsion, Parity-odd Response and Anomalies in Topological States
• From the adiabatic theorem of quantum mechanics to topological states of matter
• Higher-form symmetries and 3-group in axion electrodynamics
• A $\Gamma$-matrix generalization of the Kitaev model
• Magnetic and transport properties of rare-earth-based half-Heusler phases RPdBi: prospective systems for topological quantum phenomena
• Line Operators in the Standard Model
• Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities
• Sample-dependent Dirac point gap in MnBi${}_2$Te${}_4$ and its response to the applied surface charge: a combined photoemission and ab initio study
• Electron-phonon scattering in topological insulators
• Electrically Tunable Magnetism in Magnetic Topological Insulators
• Lattice model of three-dimensional topological singlet superconductor with time-reversal symmetry
• Observation of the quantum-anomalous-Hall insulator to Anderson insulator quantum phase transition and its scaling behavior
• The Magnetoelectric Effect in Transition Metal Oxides: Insights and the Rational Design of New Materials from First Principles
• Quantum Spin Hall Effect in Strip of Stripes Model
• Floquet interface states in illuminated three-dimensional topological insulators
• The Emergence of Topological Nodal Points in Photonic Crystal with Mirror Symmetry
• Bicircular light tuning of magnetic symmetry and topology in Dirac semimetal Cd${}_3$As${}_2$
• Unoccupied Topological States on Bismuth Chalcogenides
• Deep Learning the Quantum Phase Transitions in Random Electron Systems: Applications to Three Dimensions
• Machine Learning Topological Phases with a Solid-state Quantum Simulator
• Terahertz Kerr and Reflectivity Measurements on the Topological Insulator Bi2Se3
• Topological indices, defects and Majorana fermion in chiral superconductors
• Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function
• Topological Phases in AB-Stacked MoTe${}_2$/WSe${}_2$: ${\mathbb{Z}}_2$ Topological Insulators, Chern Insulators, and Topological Charge Density Waves
• Topological insulator based spin valve devices: evidence for spin polarized transport of spin-momentum-locked topological surface states
• Three-dimensional topological phase on the diamond lattice
• Local invariants identify topology in metals and gapless systems
• Composite Dirac liquids: parent states for symmetric surface topological order
• Interacting Topological Insulator and Emergent Grand Unified Theory
• Thermal Instability of Protected End States in a 1-D Topological Insulator
• Kaleidoscope of symmetry protected topological phases in one-dimensional periodically modulated lattices
• Observation of pi/2 modes in an acoustic Floquet system
• Theoretical prediction of topological insulator in ternary rare earth chalcogenides
• Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions
• Interaction effects on 1D fermionic symmetry protected topological phases
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Valley-polarized quantum anomalous Hall phase and disorder induced valley-filtered chiral edge channels
• Quantum Anomalous Hall Effect in Magnetic Insulator Heterostructure
• Mott insulators with boundary zeros
• Axion optical induction of antiferromagnetic order
• Spin-Resolved Topology and Partial Axion Angles in Three-Dimensional Insulators
• Type-II Weyl Points in Three-Dimensional Cold Atom Optical Lattices
• Z2 invariant protected bound states in topological insulators
• Quantum anomalous Hall states in the $p$-orbital honeycomb optical lattices
• Electrically tuned magnetic order and magnetoresistance in a topological insulator
• Dimensional transmutation from non-Hermiticity
• Topological axion electrodynamics and 4-group symmetry
• Half-Quantized Hall Effect and Power Law Decay of Edge Current Distribution
• Topological classification and diagnosis in magnetically ordered electronic materials
• Quantum Anomalous Hall Effect in Flat Band Ferromagnet
• Filling of magnetic-impurity-induced gap in topological insulators by potential scattering
• Surface theorem for the Chern-Simons axion coupling
• Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined Quantum Monte Carlo and Green's function study
• Adiabatically Induced Orbital Magnetization
• Vortex-line condensation in three dimensions: A physical mechanism for bosonic topological insulators
• Multiple magnetic topological phases in bulk van der Waals crystal MnSb4Te7
• Topological Phases in Magnonics
• Non-Hermitian Mott Skin Effect
• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• Universal charge and current on magnetic domain walls in Weyl semimetals
• Origin of the low critical observing temperature of the quantum anomalous Hall effect in V-doped (Bi, Sb)2Te3 film
• Magnetic Proximity Effect and Interlayer Exchange Coupling of Ferromagnetic/Topological Insulator/Ferromagnetic Trilayer
• Kondo effect on the surface of 3D topological insulators: Signatures in scanning tunneling spectroscopy
• Any Axion Insulator Must be a Bulk Three-Dimensional Topological Insulator
• Exotic topological density waves in cold atomic Rydberg fermions
• Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers
• Routes to realize the axion-insulator phase in MnBi${}_2$Te${}_4$(Bi${}_2$Te${}_3$)${}_n$ family: a perspective
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• Magnetic, thermal, and electronic-transport properties of EuMg2Bi2 single crystals
• Surface and Edge States in Topological Semi-metals
• Higher Dimensional Quantum Hall Effect as A-Class Topological Insulator
• Heavy surface state in a possible topological Kondo insulator: Magneto-thermoelectric transport on the (011)-plane of SmB${}_6$
• Andreev spectroscopy and surface density of states for a three-dimensional time-reversal invariant topological superconductor
• Global 4-group symmetry and 't Hooft anomalies in topological axion electrodynamics
• Stabilizing multiple topological fermions on a quantum computer
• Exploring Topology of 1D Quasiperiodic Metastructures through Modulated LEGO Resonators
• Phenomenology of non-relativistic parity-violating hydrodynamics in 2+1 dimensions
• Theory of optical axion electrodynamics and application to the Kerr effect in topological antiferromagnets
• Disorder enabled band structure engineering of a topological insulator surface
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Experimental evidence and control of the bulk-mediated intersurface coupling in topological insulator Bi2Te2Se nanoribbons
• CPT theorem and classification of topological insulators and superconductors
• Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
• Work function of bulk-insulating topological insulator Bi2-xSbxTe3-ySey
• Terahertz Quantum Hall Effect in a Topological Insulator
• Signature of band inversion in the antiferromagnetic phase of axion insulator candidate EuIn2As2
• Symmetry-protected Topological Phases at Finite Temperature
• Excitons and Optical Absorption on the Surface of a Strong Topological Insulator with a Magnetic Energy Gap
• Anomalous Hall response of topological insulators
• Spin and Orbital Magnetic Response on the Surface of a Topological Insulator
• Dynamical piezoelectric and magnetopiezoelectric effects in polar metals from Berry phases and orbital moments
• Local Topological Markers in Odd Spatial Dimensions and Their Application to Amorphous Topological Matter
• Bulk-boundary correspondence in point-gap topological phases
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Microscopic Realization of 2-Dimensional Bosonic Topological Insulators
• Topological Zero-Dimensional Defect and Flux States in Three-Dimensional Insulators
• Fully spin-polarized nodal loop semimetals in alkaline-metal monochalcogenide monolayers
• Current-induced breakdown of the quantum anomalous Hall effect
• Gauge-field fluctuations in 3D topological Mott insulators
• Electromagnetic description of three-dimensional time-reversal invariant ponderable topological insulators
• Proximity effect between a topological insulator and a magnetic insulator with large perpendicular anisotropy
• Geometric aspects of nonlinear and nonequilibrium phenomena
• $U(1)\times U(1)$ Symmetry Protected Topological Order in Gutzwiller Wave Functions
• Stiefel-Whitney topological charges in a three-dimensional acoustic nodal-line crystal
• Valley-dependent Corner States in Honeycomb Photonic Crystal without Inversion Symmetry
• Higher-order topological superconductors based on weak topological insulators
• Dissipationless Layertronics in Axion Insulator $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• Universal Faraday rotation in HgTe wells with critical thickness
• Transport Theory of Half-quantized Hall Conductance in a Semi-magnetic Topological Insulator
• Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals
• Critical Behavior and Universal Signature of an Axion Insulator State
• Direct evidence of ferromagnetism in MnSb2Te4
• Nematic and chiral superconductivity induced by odd-parity fluctuations
• 1/4 is the new 1/2 when topology is intertwined with Mottness
• End states in a 1-D topological Kondo insulator
• Topological properties of multi-terminal superconducting nanostructures: effect of a continuous spectrum
• Progress and prospects in the quantum anomalous Hall effect
• Floquet engineering of magnetic topological insulator MnBi${}_2$Te${}_4$ films
• Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
• Atom-surface physics: A review
• Optical manifestations and bounds of topological Euler class
• Observation of Interfacial Antiferromagnetic Coupling between Magnetic Topological Insulator and Antiferromagnetic Insulator
• Half-Quantized Hall Effect at the Parity-Invariant Fermi Surface
• Anomalies in (2+1)D fermionic topological phases and (3+1)D path integral state sums for fermionic SPTs
• Bulk characterization of topological crystalline insulators: stability under interactions and relations to symmetry enriched U(1) quantum spin liquids
• Creation of Chiral Interface Channels for Quantized Transport in Magnetic Topological Insulator Multilayer Heterostructures
• Hyperbolic non-Abelian semimetal
• Two-dimensional electronic transport on the surface of 3D topological insulators
• Gauge Field Induced Chiral Zero Mode in Five-dimensional Yang Monopole Metamaterials
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Inducing magnetism onto the surface of a topological crystalline insulator
• An isolated Dirac cone on the surface of ternary tetradymite-like topological insulators
• Zero Magnetic Field Plateau Phase Transition in Higher Chern Number Quantum Anomalous Hall Insulators
• Quantum many-body topology of quasicrystals
• Polarization-Modulated Angle-Resolved Photoemission Spectroscopy: Towards Circular Dichroism without Circular Photons and Bloch Wavefunction Reconstruction
• Coulomb instabilities of 3D higher-order topological insulators
• Light-induced quantum anomalous Hall effect on the 2D surfaces of 3D topological insulators
• Manifestly gauge independent formulations of the Z2 invariants
• Topological Insulators and Superconductors from String Theory
• Spin dynamics and magnetic interactions of Mn dopants in the topological insulator Bi${}_2$Te${}_3$
• Chern-Simons Theory and Wilson Loops in the Brillouin Zone
• Massive Dirac fermions in moiré superlattices: a route towards topological flat minibands
• Breaking time reversal symmetry in topological insulators
• Tracing the nonequilibrium topological state of Chern insulators
• Emergent axion response in multilayered metamaterials
• Dzyaloshinskii-Moriya Induced Topological Magnon-Phonon Hybridization in 2D Antiferromagnetic Insulators with Tunable Chern Numbers
• Four-dimensional semimetals with tensor monopoles: From surface states to topological responses
• Nonlinear optical response induced by non-Abelian Berry curvature in time-reversal-invariant insulators
• Ultrafast coherent interlayer phonon dynamics in atomically thin layers of MnBi2Te4
• The Casimir effect in topological matter
• Driven quantum many-body systems and out-of-equilibrium topology
• Impedance responses and size-dependent resonances in topolectrical circuits via the method of images
• Light-induced half-quantized Hall effect and axion insulator
• Adsorption-controlled growth of MnTe(Bi2Te3)n by molecular beam epitaxy exhibiting stoichiometry-controlled magnetism
• Helicity dependent photovoltaic effect in Bi2Se3 under normal incident light
• Topological Electromagnetic Responses of Bosonic Quantum Hall, Topological Insulator, and Chiral Semi-Metal phases in All Dimensions
• Realization of an atomic quantum Hall system in four dimensions
• Spin Orbit Torque in two dimensional Antiferromagnetic Topological Insulators
• Metallic phase of the quantum Hall effect in four-dimensional space
• Transport and localization in a topological phononic lattice with correlated disorder
• Topological features of ground states and topological solitons in generalized Su-Schrieffer-Heeger models using generalized time-reversal, particle-hole, and chiral symmetries
• Observation of superparamagnetism in coexistence with quantum anomalous Hall C=$\pm$1 and C=0 Chern states
• Optical response of a topological-insulator--quantum-dot hybrid interacting with a probe electric field
• Zero-energy states bound to a magnetic pi-flux vortex in a two-dimensional topological insulator
• Light-induced phase crossovers in a quantum spin Hall system
• Persistence of chirality in the Su-Schrieffer-Heeger model in the presence of on-site disorder
• Do topology and ferromagnetism cooperate at the EuS/Bi${}_2$Se${}_3$ interface?
• Optical properties of magnetically doped ultra-thin topological insulator slabs
• Theory of the random potential and conductivity at the surface of a topological insulator
• Non-Abelian tensor Berry connections in multi-band topological systems
• Electromagnetic and thermal responses of Z topological insulators and superconductors in odd spatial dimensions
• Magneto-optical Kramers-Kronig analysis
• Charge and spin transport in edge channels of a $\nu =0$ quantum Hall system on the surface of topological insulators
• Surface plasmon polaritons in topological insulator
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• General relativity effects in precision spin experimental tests of fundamental symmetries
• Engineering magnetic topological insulators in Eu${}_5{M}_2{X}_6$ Zintls
• Edge physics at the deconfined transition between a quantum spin Hall insulator and a superconductor
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Orbital embedding and topology of one-dimensional two-band insulators
• Linear bands, zero-momentum Weyl semimetal, and topological transition in skutterudite-structure pnictides
• The New Phase due to Symmetry Protected Piecewise Berry Phases; Enhanced Pumping and Non-reciprocity in Trimer Lattices
• Fluctuation-induced magnetization dynamics and criticality at the interface of a topological insulator with a magnetically ordered layer
• Coexistence of Fermi arcs with two dimensional gapless Dirac states
• Infrared electrodynamics and ferromagnetism in the topological semiconductors Bi${}_2$Te${}_3$ and Mn-doped Bi${}_2$Te${}_3$
• The evolution of magnetic structure driven by a synthetic spin-orbit coupling in two-component Bose-Hubbard model
• Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
• Unification of topological invariants in Dirac models
• Surface states scattering from a step defect in topological insulator Bi_{2}Te_{3}
• Superconducting and Topological Properties in Centrosymmetric PbTaS2 Single Crystals
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Dynamics of the (spin-) Hall effect in topological insulators and graphene
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Faraday rotation due to surface states in the topological insulator (Bi${}_{1-x}$Sb${}_x$)${}_2$Te${}_3$
• Bulk-and-edge to corner correspondence
• Moiré edge states in twisted bilayer graphene and their topological relation to quantum pumping
• Magnetic order on a topological insulator surface with warping and proximity-induced superconductivity
• Non-Abelian Hopf-Euler insulators
• Interacting topological quantum chemistry of Mott atomic limits
• Magnetization-tuned topological quantum phase transition in MnBi2Te4 devices
• Axion/Hidden-Photon Dark Matter Conversion into Condensed Matter Axion
• Dirac cone shift of a passivated topological Bi2Se3 interface state
• Relation between Zitterbewegung and the charge conductivity, Berry curvature and the Chern number of multi band systems
• Weyl fermions induced Magnon electrodynamics in Weyl semimetal
• Casimir effect for lattice fermions
• Electrical Switching of the Edge Current Chirality in Quantum Anomalous Hall Insulators
• Half-Quantized Helical Hinge Currents in Axion Insulators
• A series of (2+1)d Stable Self-Dual Interacting Conformal Field Theories
• Real-time observation of magnetization and magnon dynamics in a two-dimensional topological antiferromagnet MnBi2Te4
• Topological classification of Higher-order topological phases with nested band inversion surfaces
• Electrically Controlled Anomalous Hall Effect and Orbital Magnetization in Topological Magnet MnBi2Te4
• Robustness of Topological Superconductivity in Proximity-Coupled Topological Insulator Nanoribbons
• Interacting surface states of three-dimensional topological insulators
• Zeeman field induced topological phase transitions in triplet superconductors
• Intrinsic magnetic topological insulators of the MnBi${}_2$Te${}_4$ family
• Topological phase transitions at finite temperature
• Giant nonlocal edge conduction in the axion insulator state of MnBi2Te4
• Observation of backscattering induced by magnetism in a topological edge state
• Revealing Chern number from quantum metric
• Fabrication-induced even-odd discrepancy of magnetotransport in few-layer MnBi${}_2$Te${}_4$
• Discovery of several large families of Topological Insulator classes with backscattering-suppressed spin-polarized single-Dirac-cone on the surface
• Axion Insulator State in Hundred-Nanometer-Thick Magnetic Topological Insulator Sandwich Heterostructures
• Entanglement Chern number for an extensive partition of a topological ground state
• Reversed electromagnetic Vavilov-Čerenkov radiation in naturally existing magnetoelectric media
• Altermagnetism-Induced Parity Anomaly in Weak Topological Insulators
• Simulation and measurement of the fractional particle number in one-dimensional optical lattices
• Josephson currents induced by the Witten effect
• Non-Hermitian Topology in Hermitian Topological Matter
• Poynting vector controversy in axion modified electrodynamics
• Bulk-edge correspondence, spectral flow and Atiyah-Patodi-Singer theorem for the Z2-invariant in topological insulators
• Exploring topological phase transition andWeyl physics in five dimensions with electric circuits
• Hot-carrier transport and spin relaxation on the surface of topological insulator
• Generalized quantization condition in topological insulator
• Mirror-symmetry-protected dynamical quantum phase transitions in topological crystalline insulators
• Mott scattering at the interface between a metal and a topological insulator
• Universal topological quench dynamics: Altland-Zirnbauer tenfold classes
• Topological phase transition in magnon bands in a honeycomb ferromagnet driven by sublattice symmetry breaking
• Interacting Topological Quantum Chemistry in 2D: Many-body Real Space Invariants
• Quantum capacitance of an ultrathin topological insulator film in a magnetic field
• Covariant fracton gauge theory with boundary
• Experimental demonstration of topological bounds in quantum metrology
• Intrinsic and tunable quantum anomalous Hall effect and magnetic topological phases in XYBi2Te5
• A New Numerical Method for ${\mathbb{Z}}_2$ Topological Insulators with Strong Disorder
• The Casimir effect in chiral media using path integral techniques
• The Bulk-Hinge Correspondence and Three-Dimensional Quantum Anomalous Hall Effect in Second Order Topological Insulators
• On the topological surface states of the intrinsic magnetic topological insulator Mn-Bi-Te family
• Observation of magnetism induced topological edge state in antiferromagnetic topological insulator MnBi4Te7
• Unified Topological Response Theory for Gapped and Gapless Free Fermions
• Crystalline Responses for Rotation-Invariant Higher-Order Topological Insulators
• A Non-Commutative Formula for the Isotropic Magneto-Electric Response
• Kondo holes in topological Kondo insulators: Spectral properties and surface quasiparticle interference
• ${\mathbb{Z}}_2$ Spin Hopf Insulator: Helical Hinge States and Returning Thouless Pump
• Walker-Wang models and axion electrodynamics
• Observation of nonlinear planar Hall effect in magnetic insulator/topological insulator heterostructures
• Even-Odd Layer-Dependent Exchange Bias Effect in MnBi2Te4 Chern Insulator Devices
• Anomalously small resistivity and thermopower of strongly compensated semiconductors and topological insulators
• Engineered Near-Perfect Back-Scattering on Surface of Topological Insulator with Non-Magnetic Impurities
• Vison crystals, chiral and crystalline phases in the Yao-Lee model
• Distinct Effects of Cr Bulk Doping and Surface Deposition on the Chemical Environment and Electronic Structure of the Topological Insulator Bi2Se3
• Small Fermi Surfaces and Strong Correlation Effects in Dirac Materials with Holography
• Symmetry protected vortex bound state in superfluid ${}^3$He B-phase
• Extracting non-Abelian quantum metric tensor and its related Chern numbers
• Multi-orbital bosons in bipartite optical lattices
• Theory of oblique topological insulators
• Quantum thermal Hall effect of Majorana fermions on the surface of superconducting topoloigcal insulators
• Second-order topological modes in two-dimensional continuous media
• Emergent Energy Dissipation in Quantum Limit
• Extrinsic and Intrinsic Nonlinear Hall Effects across Berry-Dipole Transitions
• Non-local sidewall response and deviation from exact quantization of the topological magnetoelectric effect in axion-insulator thin films
• Identifying Axion Insulator by Quantized Magnetoelectric Effect in Antiferromagnetic ${\mathrm{MnBi}}_2{\mathrm{Te}}_4$ Tunnel Junction
• Topological Phenomena in Trapped Ion Systems
• The multi-state geometry of shift current and polarization
• Three-dimensional $\mathcal{P}\mathcal{T}$-symmetric topological phases with Pontryagin index
• A gap-protected zero-Hall effect state in the quantum limit of the nonsymmorphic metal KHgSb
• Effects of Defects and Dephasing on Charge and Spin Currents in Two-Dimensional Topological Insulators
• Giant Hall Switching by Surface-State-Mediated Spin-Orbit Torque in a Hard Ferromagnetic Topological Insulator
• Giant plateau in the THz Faraday angle in gated Bi2Se3
• Koopmans' theorem as the mechanism of nearly gapless surface states in self-doped magnetic topological insulators
• Magnetic skyrmion crystal at a topological insulator surface
• Higher-order topological heat conduction on a lattice for detection of corner states
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• Topological phases of the dimerized Hofstadter butterfly
• Non-Hermitian chiral anomalies
• Edge states of a diffusion equation in one dimension: Rapid heat conduction to the heat bath
• Index theorem for topological heterostructure systems
• Finite-size Topology
• Quantum optics measurement scheme for quantum geometry and topological invariants
• Bosonic Short Range Entangled states Beyond Group Cohomology classification
• Finite frequency magnetoelectric response of three dimensional Topological Insulators
• Magnetic warping in topological insulators
• Fragility of surface states in non-Wigner Dyson topological insulators
• Spontaneous gap generation on the surface of weakly interacting topological insulators using nonmagnetic impurities
• Band Structure of Two-dimensional Dirac Semimetal from Cyclotron Resonance
• High-Chern number phase in the topological insulator multilayer structures
• Correlations and entanglement in flat band models with variable Chern numbers
• Three-Dimensional Fractional Topological Insulators in Coupled Rashba Layers
• High spin axion insulator
• Topological linear response of hyperbolic Chern insulators
• Colloquium: Synthetic quantum matter in non-standard geometries
• Layer Control of Magneto-Optical Effects and Their Quantization in Spin-Valley Splitting Antiferromagnets
• Modification of transition radiation by three-dimensional topological insulators
• Dynamic bulk-boundary correspondence for anomalous Floquet topology
• From orbifolding conformal field theories to gauging topological phases
• Antiferromagnetic topological insulator with selectively gapped Dirac cones
• Coupling-decoupling of conducting topological surface states in thick Bi${}_2$Se${}_3$ single crystals
• Giant Hall photoconductivity in narrow-gapped Dirac materials
• Group theory study of the vibrational modes and magnetic order in the topological antiferromagnet MnBi${}_2$Te${}_4$
• Three-Dirac-fermion approach to unexpected universal gapless surface states of van der Waals magnetic topological insulators
• Kerr, Faraday, and Magnetoelectric Effects in MnBi${}_2$Te${}_4$ Thin Films
• Interplay of Altermagnetic Order and Wilson Mass in the Dirac Equation: Helical Edge States without Time-Reversal Symmetry
• Quantum theory of the Intrinsic Orbital Magnetoelectric Effect in itinerant electron systems at finite temperatures
• Twisted magnetic topological insulators
• Chern Insulator Phase in a Lattice of an Organic Dirac Semimetal with Intracellular Potential and Magnetic Modulations
• Topological Field Theories induced by twisted R-Poisson structure in any dimension
• Effective field theories of topological crystalline insulators and topological crystals
• Signature of Parity Anomaly: Crossover from One Half to Integer Quantized Hall Conductance in a Finite Magnetic Field
• Topological gauge theory for mixed Dirac stationary states in all dimensions
• Finite Size Effect in the Quantum Anomalous Hall system
• Axionic surface wave in dynamical axion insulators
• Topological photonics on superconducting quantum circuits with parametric couplings
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• One-dimensional non-interacting topological insulators with chiral symmetry
• Edge stability and edge quantum criticality in 2D interacting topological insulators
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• Van der Waals torque and force between anisotropic topological insulator slabs
• Spontaneous magnetization and anomalous Hall effect in an emergent Dice lattice
• Metal-insulator transition and tunable Dirac-cone surface state in the topological insulator TlBi1-xSbxTe2 studied by angle-resolved photoemission
• An edge index for the Quantum Spin-Hall effect
• Topological Dipole Conserving Insulators and Multipolar Responses
• Zeros of Green Functions in Topological Insulators
• Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor
• Simulation of the multiphase configuration and phase transitions with quantum walks utilizing a step-dependent coin
• Topological insulators and higher-order topological insulators from gauge-invariant 1D lines
• Coherent Single Spin Source based on topological insulator
• Topological terms of (2+1)d flag-manifold sigma models
• Topological magnon-photon interaction for cavity magnonics
• Vortex structure and spectrum of atomic Fermi superfluid in a spherical bubble trap
• Nonlinear Hall effect in two-dimensional class AI metals
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Topological Magnetoelectric Response in Ferromagnetic Axion Insulators
• Magnetoelectric polarizability and optical activity: spin and frequency dependence
• Axion gravitodynamics, Lense-Thirring effect, and gravitational waves
• Density Waves Instability and a Skyrmion Lattice on the Surface of Strong Topological Insulators
• Magnetoelectricity in two-dimensional materials
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Charge Conservation Beyond Uniformity: Spatially Inhomogeneous Electromagnetic Response in Periodic Solids
• Time-reversal Invariant SU(2) Hofstadter Problem in Three Dimensional Lattices
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue
• Spin-polarized antichiral exciton-polariton edge states
• Higher-group structure in $2n$-dimensional axion-electrodynamics
• Structural versus electronic distortions of symmetry-broken IrTe${}_2$
• Towards a theory of surface orbital magnetization
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Magnetoelectric effect in bilayer graphene controlled by valley-isospin density
• Lossless Spin-Orbit Torque in Antiferromagnetic Topological Insulator MnBi${}_2$Te${}_4$
• Linking topological features of the Hofstadter model to optical diffraction figures
• On nonlinear classical electrodynamics with an axionic term
• Fractional Electromagnetic Response in Three-Dimensional Chiral Anomalous Semimetal
• Nonminimal planar electrodynamics modified by higher-derivative terms
• Magnetoelectric effect of a conducting sphere near a planar topological insulator
• Ferromagnetism and glassiness on the surface of topological insulators
• Discovery of a Topological Charge Density Wave
• Higgs-Confinement Transitions in QCD from Symmetry Protected Topological Phases
• Abundance of second order topology in $C_3$ symmetric two-dimensional insulators
• Topological Electromagnetic Effects and Higher Second Chern Numbers in Four-Dimensional Gapped Phases
• Soft-magnetic skyrmions induced by surface-state coupling in an intrinsic ferromagnetic topological insulator sandwich structure
• Quantized electrochemical transport in Weyl semimetals
• Photo-Seebeck effect in single-crystalline bismuth telluride topological insulator
• Quantum skyrmion Hall effect
• Disentangled topological numbers by a purification of entangled mixed states for non-interacting fermion systems
• Topological BF theory of the quantum hydrodynamics of incompressible polar fluids
• Emergence of inductance and capacitance from topological electromagnetism
• Infrared study of the interplay of charge, spin, and lattice excitations in the magnetic topological insulator EuIn${}_2$As${}_2$
• A Dirac-fermion approach and its application to design high Chern numbers in magnetic topological insulator multilayers
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Interplay between Mn-acceptor state and Dirac surface states in Mn-doped Bi${}_2$Se${}_3$ topological insulator
• Measurement of the topological surface state optical conductance in bulk-insulating Sn-doped Bi${}_{1.1}$Sb${}_{0.9}$Te${}_2$S single crystals
• Competing Adiabatic Thouless Pumps in Enlarged Parameter Spaces
• Generalized chiral instabilities, linking numbers, and non-invertible symmetries
• Electromagnetic Radiation in chiral matter: the Cherenkov case
• Confining electrons on a topological insulator surface using potentials and a magnetic field
• On Topology of the Moduli Space of Gapped Hamiltonians for Topological Phases
• Facet dependent surface energy gap on magnetic topological insulators
• Anomalous geometric transport signatures of topological Euler class
• Tunable partial polarization beam splitter and optomechanically induced Faraday effect
• Hybrid-order topology in unconventional magnets of Eu-based Zintl compounds with surface-dependent quantum geometry
• Disordered topological metals
• Plasmons in Two-Dimensional Topological Insulators
• Straining the Identity of Majorana Fermions
• Intrinsic torques emerging from anomalous velocity in magnetic textures
• Anatomy of Spin and Current Generation from Magnetization Gradients in Topological Insulators and Rashba Metals
• Long-Time Magnetic Relaxation in Antiferromagnetic Topological Material EuCd${}_2$As${}_2$
• A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
• Protected Gapless Edge States In Trivial Topology
• Mass Acquisition of Dirac Fermions in Bi4I4 by Spontaneous Symmetry Breaking
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Topological Quantum Critical Points in Strong Coupling limits: Global Symmetries and Strongly Interacting Majorana Fermions
• Optical Properties Chern-Simons (3+1)D $\theta$-systems
• Polarization and orbital magnetization in Chern insulators: A microscopic perspective
• Decorated defect condensate, a window to unconventional quantum phase transitions in Weyl semimetals
• Higgs Condensates are Symmetry-Protected Topological Phases: II. $U(1)$ Gauge Theory and Superconductors
• Interaction effects in non-equilibrium transport properties of a four-terminal topological corner junction
• Three dimensional two-band Floquet topological insulator with $Z_2$ index
• Classical spins in topological insulators
• Green's Function Approach to Interacting Higher-order Topological Insulators
• Topology of Generalized Spinors and Chiral Anomaly
• On the half-quantized Hall conductance of massive surface electrons in magnetic topological insulator films
• Evolution of Dopant-Concentration-Induced Magnetic Exchange Interaction in Topological Insulator Thin Films
• Nature of the Dirac gap modulation and surface magnetic interaction in axion antiferromagnetic topological insulator MnBi${}_2$Te${}_4$
• Non-adiabatic Hall effect at Berry curvature hot spot
• Topological gap labeling with the third Chern numbers in three-dimensional quasicrystals
• Engineering Topological quantum dot through planar magnetization in bismuthene
• How Do You Want That Insulator?
• Electromagnetic coupling of spins and pseudospins in bilayer graphene
• Pseudo-gauge Fields in Dirac and Weyl Materials
• Interacting Local Topological Markers: A one-particle density matrix approach for characterizing the topology of interacting and disordered states
• Axion insulators protected by C2T and their K-theory invariants and material realization
• Probing magnetic orbitals and Berry curvature with circular dichroism in resonant inelastic X-ray scattering
• Two-dimensional topological order of kinetically constrained quantum particles
• Plasmonic Vortices Host Magnetoelectric Interactions
• ${\mathbb{Z}}_2$ topological invariants for mixed states of fermions in time-reversal invariant band structures
• Spin-triplet $f$-wave symmetry in superconducting monolayer $Mo{S}_2$
• Topological Wannier cycles for the bulk and edges
• Disorder-Induced Topological Transitions in a Multilayer Topological Insulator
• Disorder Induced Anomalous Hall Effect in Type-I Weyl Metals: Connection between the Kubo-Streda Formula in the Spin and Chiral basis
• Strong correlations at topological insulator surfaces and the breakdown of the bulk-boundary correspondence
• Many-Body Chern Numbers of $\nu =1/3$ and $1/2$ States on Various Lattices
• New polarization rotation and exact TEM wave solutions in topological insulators
• Metallic Quantized Anomalous Hall Effect without Chiral Edge States
• Magnetization-Induced Phase Transitions on the surface of 3D Topological Insulators
• Phase diagram and phonon-induced backscattering in topological insulator nanowires
• Effective Hamiltonian with tunable mixed pairing in driven optical lattices
• Magnetic Proximity Effect in an Antiferromagnetic Insulator/Topological Insulator Heterostructure with Sharp Interface
• Ambi-chiral anomalous Hall effect in magnetically doped topological insulators
• Entanglement Chern number for three-dimensional topological insulators: Characterization by Weyl points of entanglement Hamiltonians
• Dynamical Axions in $U(1)$ Quantum Spin Liquids
• Topological superconductivity induced by a Kitaev spin liquid
• Measuring the Chern number with quantum oscillations
• Anomalous Hall effect from a non-Hermitian viewpoint
• Velocity Scanning Tomography for Room-Temperature Quantum Simulation
• Electrical control of intrinsic nonlinear Hall effect in antiferromagnetic topological insulator sandwiches
• Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
• Topological Insulators with Hybrid-order Boundary States
• Geometrically induced reversion of Hall current in a topological insulator cavity
• Anomalous Crystal Shapes of Topological Crystalline Insulators
• Gapless Fermionic Systems as Phase-space Topological Insulators: Non-perturbative Results from Anomalies
• Fractionalized Metals and Superconductors in Three Dimensions
• BerryEasy: A GPU enabled python package for diagnosis of nth-order and spin-resolved topology in the presence of fields and effects
• Unusual Electronic Structure of Dirac Material BaMnSb${}_2$ Revealed by Angle-Resolved Photoemission Spectroscopy
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Theory of Anomalous Floquet Higher-Order Topology: Classification, Characterization, and Bulk-Boundary Correspondence
• Chern insulators and high Curie temperature Dirac half-metal in two-dimensional metal-organic frameworks
• Direct observation of chiral edge current at zero magnetic field in odd-layer MnBi${}_2$Te${}_4$
• Topological electronic bands in crystalline solids
• Rigidity of topological invariants to symmetry breakings
• Optical intersubband properties of a core-shell semiconductor-topological insulator quantum dot described by $\theta$-Electrodynamics
• Fano q-reversal in topological insulator Bi2Se3
• Quantized electromagnetic response of three-dimensional chiral topological insulators
• Quantum Monte Carlo simulation of topological phase transitions
• Topological surface currents accessed through reversible hydrogenation of the three-dimensional bulk
• Enhanced left/right asymmetry in reflection and transmission due to a periodic multilayer of a topological insulator and an anisotropic dielectric material
• Effective response theory for zero energy Majorana bound states in three spatial dimensions
• Evidence for Half-Quantized Chiral Edge Current in a C = 1/2 Parity Anomaly State
• Plasmon modes in the magnetically doped Single Layer and Multilayers of Helical Metals
• Charge conservation protected topological phases
• Computing the ${\mathbb{Z}}_2$ Invariant in Two-Dimensional Strongly-Correlated Systems
• Dynamical probing of a topological phase of bosons in one dimension
• Voltage-driven exchange resonance achieving 100\% mechanical efficiency
• Automated construction of maximally localized Wannier functions for bands with nontrivial topology
• Symmetry-driven anisotropic coupling effect in antiferromagnetic topological insulator: Mechanism for high-Chern-number quantum anomalous Hall state
• Three-Dimensional Quantum Anomalous Hall Effect in Magnetic Topological Insulator Trilayers of Hundred-Nanometer Thickness
• Fermionic Symmetry Protected Topological Phase Induced by Interactions
• Large-gap quantum anomalous Hall states induced by functionalizing buckled Bi-III monolayer/Al${}_2$O${}_3$
• Structure-driven phase transitions in paracrystalline topological insulators
• Optimal design of fast topological pumping
• Orbital Gravito-Magnetoelectric response and Orbital magnetic quadrupole moment correction
• Electrified magnetic catalysis in three-dimensional topological insulators
• On the path integral approach to quantum anomalies in interacting models
• Axion mass in antiferromagnetic insulators
• Simulating two-dimensional dynamics within a large-size atomic spin
• Mapping the phase diagram of the quantum anomalous Hall and topological Hall effects in a dual-gated magnetic topological insulator heterostructure
• Quantum Liouville's theorem based on Haar measure
• Electric polarization and magnetization in metals
• Spatially modulated magnetic structure of EuS due to the tetragonal domain structure of SrTiO${}_3$
• Quantum interference in a superconductor-${\mathrm{MnBi}}_2{\mathrm{Te}}_4$-superconductor Josephson junction
• 'Real' gerbes and Dirac cones of topological insulators
• Higher-order topological superconductor phases in a multilayer system
• Bulk-edge Correspondence in the Adiabatic Heuristic Principle
• Engineering Plateau Phase Transition in Quantum Anomalous Hall Multilayers
• Distinguishing Surface and Bulk Electromagnetism via Their Dynamics in an Intrinsic Magnetic Topological Insulator
• Weakly interacting one-dimensional topological insulators: a bosonization approach
• Geometric pumping and dephasing at topological phase transition
• Bound states of three fermions forming symmetry-protected topological phases
• Vavilov-Cherenkov radiation for parallel motion in three-dimensional topological insulators
• Electron dynamics in topological insulator based semiconductor-metal interfaces (topological p-n interface based on Bi2Se3 class)
• Entanglement and particle fluctuations of one-dimensional chiral topological insulators
• Modulation of Dirac electrons in epitaxial Bi2Se3 ultrathin films on van-der-Waals ferromagnet Cr2Si2Te6
• Dual topological insulator with mirror symmetry protected helical edge states
• Capacitive scheme to detect the topological magnetoelectric effect
• Theory for Anomalous Terahertz Emission in Striped Cuprate Superconductors
• The emergence of net chirality in two-dimensional Dirac fermions system with altermagnetic mass
• Topological Field Theories of Three-Dimensional Rotation Symmetric Insulators: Coupling Curvature and Electromagnetism
• Elementary models of 3D topological insulators with chiral symmetry
• Dynamic axion field in the magnetoelectric antiferromagnet chromia
• Second Euler number in four dimensional synthetic matter
• Proxy ensemble geometric phase and proxy index of time-reversal invariant topological insulators at finite temperatures
• Interplay between exchange split Dirac and Rashba-type surface states in MnBi${}_2$Te${}_4$/BiTeI interface
• From classical to quantum regime of topological surface states via defect engineering
• Dissipative Edge Transport in Disordered Axion Insulator Films
• Emergence of Cascading Flat Bands in Breathing Superlattices
• Electrostatic effects of the MnBi2Te4-superconductor hetero-structures in chiral Majorana search
• Directed motion of doublons and holes in periodically driven Mott insulators
• Unveiling Correlated Two-dimensional Topological Insulators through Fermionic Tensor Network States -- Classification, Edge Theories and Variational Wavefunctions
• Intrinsic antiferromagnetic topological insulator and axion state in V2WS4
• Symmetry, topology, and geometry: The many faces of the topological magnetoelectric effect
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Type-II topological phase transitions of topological skyrmion phases
• Discriminant indicator with generalized rotational symmetry
• Environmental Doping-Induced Degradation of the Quantum Anomalous Hall Insulators
• Bilinear planar Hall effect in topological insulators due to spin-momentum locking inhomogeneity
• Streda formula for the Hofstadter-Wilson-Dirac model in two and four dimensions
• Unveiling Symmetry Instability induced by Topological Phase Transitions
• Realization of the topological Hopf term in two-dimensional lattice models
• Planar magnetic texture on the surface of a topological insulator
• Phononic dynamical axion in magnetic Dirac insulators
• The anomalous Hall Effect in a Magnetically Extended Topological Insulator Heterostructure
• Geometric construction of classes in van Daele's K-theory
• Gate-tunable magnetoresistance in six-septuple-layer MnBi${}_2$Te${}_4$
• Negative-U Superconductivity on the Surface of Topological Insulators
• Ambipolar Electric Field Effect in Metallic Bi2Se3
• Creating high-dimensional topological physics using a single ring resonator
• Large-$S$ and tensor-network methods for strongly-interacting topological insulators
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Massive photon propagator in the presence of axionic fluctuations
• Quantized topological phases beyond square lattices in Floquet synthetic dimensions
• Multiphoton Spectroscopy of a Dynamical Axion Insulator
• $K$-theory classification of Wannier localizability and detachable topological boundary states
• Sub-symmetry Protected Topology in Topological Insulators and Superconductors
• Observation of multiple Dirac states in a magnetic topological material EuMg2Bi2
• Spin Weyl Topological Insulators
• Synthetic spin-orbit coupling for the multispin models in optical lattices
• Geometric phases of Topological Systems under Quench Process
• Topological magnetoelectric pump in three dimensions
• Axion insulator, Weyl points, quantum anomalous Hall effect and magnetic topological phase transition in Eu3In2As4
• The One-dimensional Chiral Anomaly and its Disorder Response
• Quantized thermal and spin transports of dirty planar topological superconductors
• Boiling Quantum Vacuum: Thermal Subsystems from Ground-State Entanglement
• Unwinding of a one-dimensional topological superconductor
• Topological zero-modes of the spectral localizer of trivial metals
• A linear algebra-based approach to understanding the relation between the winding number and zero-energy edge states
• Exact solution of the Schrödinger equation for an hydrogen atom at the interface between the vacuum and a topologically insulating surface
• Experimental realization of Majorana hinge and corner modes in intrinsic organic topological superconductor without magnetic field at room temperature
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Higher order topological state induced by $d$-wave competing orders in high-T${}_c$ superconductor based heterostructure
• Electromagnetic coupling and transport in a topological insulator-graphene hetero-structure
• Classical features, Anderson-Higgs mechanism, and unitarity in Lee-Wick pseudo-electrodynamics
• Higher-Order Topological Systems and Their Sub-Symmetry-Protected Topology
• Intrinsic (Axion) Statistical Topological Insulator
• Anomalous Fraunhofer-like patterns in quantum anomalous Hall Josephson junction
• High-field charge transport on the surface of Bi${}_2$Se${}_3$
• Topological phases of many-body non-Hermitian systems
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• Hybrid symmetry class topological insulators
• Hall conductivity as the topological invariant in magnetic Brillouin zone in the presence of interactions
• Field Theoretic Aspects of Condensed Matter Physics: An Overview
• A toy model for quantum spin Hall effect
• Chiral fermions on lattice axion strings
• Trigonal warping effects on optical properties of anomalous Hall materials
• Topology-insensitive axion mass in magnetic topological insulators
• Topological Burning Glass Effect
• Discrete Wigner-Weyl calculus for the finite lattice
• Tensor Theory for Higher Dimensional Chern Insulators with Large Chern Numbers
• Homotopy invariant in time-reversal and twofold rotation symmetric systems
• Topological hybrid semimetal phases and anomalous Hall effects in a three dimensional magnetic topological insulator
• Anti-commutative dynamical magneto-electric response in certain solid state materials
• Edge modes for flexural waves in quasi-periodic linear arrays of scatterers
• Relativistic hydrodynamics with the parity anomaly
• Quantum Anomalous Hall Effect in Three-dimensional Topological Insulator/Thin-film Ferromagnetic Metal Bilayer Structure
• Dyadic Greens function for a topological insulator stratified sphere
• Critical Behavior and Duality in Dimensionally Reduced Planar Chern-Simons Superconductors
• The $Z_2$ Classification of Dimensional Reduced Hopf Insulators
• Anomalous Linear and Quadratic Nodeless Surface Dirac Cones in Three-Dimensional Dirac Semimetals
• Effective field theory of particle mixing
• Excitonic gap generation in thin-film topological insulators
• Three-dimensional $\mathbb{Z}$ topological insulators without reflection symmetry
• Topological Aspects of Antiferromagnets
• Robust quantisation of circular photogalvanic effect in multiplicative topological semimetals
• Ground state and polarization of an hydrogen-like atom near a Weyl semimetal
• Universal Role of Combined Symmetry for the Protection of the Dirac Cone in Antiferromagnetic Topological Insulators
• Quantum geometry embedded in unitarity of evolution: revealing its impacts as geometric oscillation and dephasing in spin resonance and crystal bands
• Chiral Majorana Edge Modes and Vortex Majorana Zero Modes in Superconducting Antiferromagnetic Topological Insulator
• Breakdown of boundary criticality and exotic topological semimetals in $\mathcal{P}\mathcal{T}$-invariant systems
• Detecting axion dynamics on the surface of magnetic topological insulators
• Spin texture tunability in Mn${}_{1-x}$Ge${}_x$Bi${}_2$Te${}_4$ through varying Ge Concentration
• Topological charge excitations and Green's function zeros in paramagnetic Mott insulators
• Extended Dynamical Symmetries of Landau Levels in Higher Dimensions
• Synthetic and cosmological axion hybridization: entangled photons, (HBT) and quantum beats
• Magnon-mediated superconductivity on ferromagnetic wallpaper fermions
• Interlayer Coupling-Induced Quantum Phase Transition in Quantum Anomalous Hall Multilayers
• Measuring topological invariants of even-dimensional line-gapped non-Hermitian systems through quench dynamics
• Unoccupied Topological Surface State in MnBi${}_2$Te${}_4$
• Axion electrodynamics of Weyl superconductors with broken time-reversal symmetry
• Tunable plasmon modes and topological transitions in single- and bilayer semi-Dirac materials
• Evaluation of real-space second Chern number using the kernel polynomial method
• A Two-Gauge Field Model for Magnetoelectric Boundaries
• Absence of Parity Anomaly in Massive Dirac Fermions on a Lattice
• Electron chirality and hydrodynamic helicity: Analysis in the atomic limit
• Direct visualization of edge state in even-layer MnBi2Te4 at zero magnetic field
• Zero modes of velocity field and topological invariant in quantum torus
• Chern Simons condensate from misaligned axions
• Edge bands and vertical transport in topological insulator/magnetic insulator heterostructures
• Observation of novel interference patterns in Bi2-xFexTe3+d by Fourier transform scanning tunneling spectroscopy
• Geometric and computational aspects of chiral topological quantum matter
• Unidirectional magneto-transport of linearly dispersing topological edge states
• Low-temperature magnetoresistance hysteresis in Vanadium-doped Bi${}_2$Te${}_{2.4}$Se${}_{0.6}$ bulk topological insulators
• Variational Tensor Wavefunctions for the Interacting Quantum Spin Hall Phase
• Stability of the X-Y-phase of the two-dimensional C4 point group insulator
• Zero Curvature Condition for Quantum Criticality
• Dynamics of axion-neutral pseudoscalar mixing
• Electronic structures and stability investigation of the new class of large band gap topological insulators MTl${}_4$Te${}_3$ (M = Cd, Hg)
• Topological magnetoelectric response in passive magnetic devices
• Axions at the meV Crossroads: Theory, Cosmology, Astrophysics, and Experiments
• Parity anomaly with impurities and the Pauli--Villars subtraction
• Topology vs localization in synthetic dimensions
• Random Magnetic Field and the Dirac Fermi Surface
• Exact modes, hybridization and polarization rotation of electromagnetic fields propagating in topological insulating slab
• Superfluid Stiffness and Josephson Quantum Capacitance: Adiabatic Approach and Topological Effects
• Real-space representation of the second Chern number
• Extended Haldane Model in The Dice Lattice: Multiple Flat-Band-Induced topological Transitions Revealed
• Bulk versus surface: Nonuniversal partitioning of the topological magnetoelectric effect
• Extended edge modes and disorder preservation of a symmetry-protected topological phase out of equilibrium
• Systematic Construction of Interfaces and Anomalous Boundaries for Fermionic Symmetry-Protected Topological Phases
• Uhlmann and scalar Wilczek-Zee phases of degenerate quantum systems
• Spectroscopic footprints of quantum friction in nonreciprocal and chiral media
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• SUSY QED with Lorentz-asymmetric fermionic matter and a glance at the electron's EDM
• Topological invariant for holographic Weyl-${\mathrm{Z}}_2$ semimetal
• Observable-enriched entanglement
• Valley Spin Sum Rule for Dirac Fermions: Topological Argument
• Gapless Edge-Modes and Topology in the Qi-Wu-Zhang Model: A Real-Space Analysis
• Synthetic magnetoelectric response of lattice bosonic insulators
• Real-space renormalisation approach to the Chalker-Coddington model revisited: improved statistics
• Strain effect on optical properties and quantum weight of monolayer MnBi${}_2$X${}_4$ (X = Te, Se, S)
• Spin motive force by the momentum-space Berry phase in magnetic Weyl semimetals
• Interface ferromagnetism and anomalous Hall effect of CdO/ferromagnetic insulator heterostructures
• Topological edge states in bowtie ladders with different cutting edges
• Topological invariant of velocity field in quantum systems
• Interplay between surface Dirac and Rashba states specific for topologically nontrivial van der Waals superlattices
• Current Modulator based on Topological Insulator with Sliding Magnetic Superlattice
• Probing dynamical axion quasiparticles with two-photon correlations
• Robust nonequilibrium surface currents in the 3D Hofstadter model
• Proposal for realizing unpaired Weyl points in a three-dimensional periodically driven optical Raman lattice
• Perturbative and global anomalies in bosonic analogues of integer quantum Hall and topological insulator phases
• Strong photon coupling to high-frequency antiferromagnetic magnons via topological surface states
• Tuning the vertical location of helical surface states in topological insulator heterostructures via dual-proximity effects
• The magnetoelectric effect due to a semispherical capacitor surrounded by a spherical topologically insulating shell
• Multi-tunneling effect of nonreciprocal Landau-Zener tunneling: Insights from DC field responses
• Connections between Weyl geometry, quantum potential and quantum entanglement
• Revealing inverted chirality of hidden domain wall states in multiband systems without topological transition
• Phase equilibria in MnSb2Te4-GeSb2Te4 system and magnetic properties of Mn1-xGexSb2Te4 solid solutions
• Sb doping effect on transport behavior in the topological insulator Bi2Se3
• Theory of classical electrodynamics with topologically quantized singularities as electric charges
• An invariant measure of chiral quantum transport
• Topological Magnetoelectric Switching on the Atomic Scale
• Observation of Majorana Plasmon by Molecular Topological Superconductor and Its Topological SPASER
• Interlayer Exchange Coupling-Induced Critical-Metal-to-Insulator Phase Transition in Quantum Anomalous Hall Insulators
• Momentum non-conservation in a scalar quantum field theory with a planar $\theta$ interface
• Three-dimensional quantum Hall states as a chiral electromagnetic filter
• Gapless hinge states from adiabatic pumping of axion coupling
• Manifestation of chiral magnetic current in Floquet-Weyl semimetals
• Orbital dynamics in 2D topological and Chern insulators
• Fermion-Vortex Interactions in Axion Electrodynamics
• Ground-state phase diagram of quantum link electrodynamics in $(2+1)$-d
• Field mixing in a thermal medium: A quantum master equation approach
• Josephson junctions of topological nodal superconductors
• Interplay of Tilt and Axion Fields in Topological Superconductors: Anisotropy in the Meissner Effect
• Manipulation of helical states revealed by crossed Andreev reflection
• Surface topological quantum criticality: Conformal manifolds and Discrete Strong Coupling Fixed Points
• Analytical solutions of topological surface states in a series of lattice models
• Magnetically tuned topological phase in graphene nanoribbon heterojunctions
• High Chern number phase in topological insulator multilayer structures: a Dirac cone model study
• Remarks on classical pseudo-electrodynamics
• Hedgehog-like spin texture in Sb-doped MnBi${}_2$Te${}_4$
• Topological Classification of Gapped/Gap-preserving Rational Space-Time Crystal Systems
• The Lee-Wick-Chern-Simons pseudo-quantum electrodynamics
• To See a World in a Grain of Sand -- The Scientific Life of Shoucheng Zhang
• Effective potential of scalar Lee-Wick pseudo-electrodynamics
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings
• Crossover of spin Hall to quantum anomalous Hall effect in PbC/MnSe heterostructures
• Emerging axion detection in artificial magnetoelectric materials
• Parity anomaly from LSM: exact valley symmetries on the lattice
• Exact Mappings in Condensed Matter Physics
• Band topology and dynamic multiferroicity induced from dynamical Dzyaloshinskii-Moriya interactions in centrosymmetric lattices
• Axionic $p+is$ superconductivity from two pairing channels
• Imaginary Time Formalism for Causal Nonlinear Response Functions
• Quantized edge magnetizations and their symmetry protection in one-dimensional quantum spin systems
• Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Topological Properties and Characterizations
• Low-Frequency Current Fluctuations in Graphene-like Exfoliated Thin-Films of Topological Insulators
• Continuum Landau surface states in a non-Hermitian Weyl semimetal
• A Universal Chern Model on Arbitrary Triangulations
• Theoretical design of the large topological magnetoelectric effect in the Co-intercalated NbS${}_2$ structure
• Equivalence class of Emergent Single Weyl fermion lattice models in 3 dimensions: gapless superconductors and superfluids versus chiral fermions
• Comparison of finite-temperature topological indicators based on Uhlmann connection
• Feynman paradox in a spherical axion insulator
• Beyond spin-1/2: Multipolar spin-orbit coupling in noncentrosymmetric crystals with time-reversal symmetry
• Modulation of crystal and electronic structures in topological insulators by rare-earth doping
• Exact expression for the Berry connection in the projection gauge
• Cyclic cocycles and quantized pairings in materials science
• Vortical Quantum Memory
• From Bopp Shifts to Toroidal Shadows: K-Theoretic Gap Labels in Noncommutative Quantum Mechanics
• Numerical calculation of the $k$-space second Chern number in four dimensions
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice