Magnetoelectric polarizability and axion electrodynamics in crystalline insulators

Abstract

The orbital motion of electrons in a three-dimensional solid can generate a pseudoscalar magnetoelectric coupling $\theta$, a fact we derive for the single-particle case using a recent theory of polarization in weakly inhomogeneous materials. This polarizability $\theta$ is the same parameter that appears in the "axion electrodynamics" Lagrangian $\Delta {\mathcal{L}}_{EM}=(\theta e^2/2\pi h)\mathbf{E}\cdot \mathbf{B}$, which is known to describe the unusual magnetoelectric properties of the three-dimensional topological insulator ($\theta =\pi$). We compute $\theta$ for a simple model that accesses the topological insulator and discuss its connection to the surface Hall conductivity. The orbital magnetoelectric polarizability can be generalized to the many-particle wavefunction and defines the 3D topological insulator, like the IQHE, in terms of a topological ground-state response function.

4 pages; minor changes resulting from a change in one reference

References in corpus (10)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Topological Insulators in Three Dimensions
• Topological Insulators with Inversion Symmetry
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological invariants of time-reversal-invariant band structures
• Orbital magnetization in periodic insulators
• Topological surface states in three-dimensional magnetic insulators
• Relativistic analysis of magnetoelectric crystals: extracting a new 4-dimensional P odd and T odd pseudoscalar from Cr_2 O_3 data
• Many-body generalization of the Z2 topological invariant for the quantum spin Hall effect

Cited by in corpus (594)

• Topological Insulators
• Topological insulators and superconductors
• Berry Phase Effects on Electronic Properties
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Maximally localized Wannier functions: Theory and applications
• Classification of topological quantum matter with symmetries
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
• Quantized Electric Multipole Insulators
• Magnetic-field-induced quantized anomalous Hall effect in intrinsic magnetic topological insulator MnBi${}_2$Te${}_4$
• Colloquium: Topological Band Theory
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Prediction and observation of the first antiferromagnetic topological insulator
• Intrinsic magnetic topological insulators in van der Waals layered MnBi${}_2$Te${}_4$-family materials
• Spintronics and Pseudospintronics in Graphene and Topological Insulators
• Mott physics and band topology in materials with strong spin-orbit interaction
• Topological axion states in magnetic insulator MnBi${}_2$Te${}_4$ with the quantized magnetoelectric effect
• Robust axion insulator and Chern insulator phases in a two-dimensional antiferromagnetic topological insulator
• A new platform for topological quantum phenomena : Topological Insulator states in thermoelectric Heusler-related ternary compounds
• Antiferromagnetic topological insulators
• Three-Dimensional Topological Insulators
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Symmetry Protected Topological phases of Quantum Matter
• The effects of interactions on the topological classification of free fermion systems
• Topological insulator on the kagome lattice
• Inversion Symmetric Topological Insulators
• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• Giant Magneto-optical Kerr Effect and Universal Faraday Effect in Thin-film Topological Insulators
• Dynamical Axion Field in Topological Magnetic Insulators
• Quantum Hall Effect from the Topological Surface States of Strained Bulk HgTe
• 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
• Z2Pack: Numerical Implementation of Hybrid Wannier Centers for Identifying Topological Materials
• High-throughput calculations of magnetic topological materials
• Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
• First Principles Studies on 3-Dimentional Strong Topological Insulators: Bi2Te3, Bi2Se3 and Sb2Te3
• Observation of Dirac plasmons in a topological insulator
• A Materials Perspective on Casimir and van der Waals Interactions
• Hedgehog Spin-texture and Berry's Phase tuning in a Magnetic Topological Insulator
• Dielectric response and novel electromagnetic modes in three-dimensional Dirac semimetal films
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator
• Higher-order Topology of Axion Insulator EuIn${}_2$As${}_2$
• Realization of the Axion Insulator State in Quantum Anomalous Hall Sandwich Heterostructures
• Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Layer Hall effect in a 2D topological Axion antiferromagnet
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors
• Topological Insulators on the Lieb and Perovskite Lattices
• Edge states and the bulk-boundary correspondence in Dirac Hamiltonians
• Chemical Aspects of the Antiferromagnetic Topological Insulator MnBi${}_2$Te${}_4$
• Magnetic Topological Quantum Chemistry
• Quantized Response and Topology of Insulators with Inversion Symmetry
• 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${}_3$
• Orbitronics: Orbital Currents in Solids
• Optical characterization of topological insulator surface states: Berry curvature-dependent response
• Highly-ordered wide bandgap materials for quantized anomalous Hall and magnetoelectric effects
• Twisted equivariant matter
• Evidence for an axionic charge density wave in the Weyl semimetal (TaSe4)2I
• THz response and colossal Kerr rotation from the surface states of the topological insulator Bi${}_2$Se${}_3$
• Optical characterization of Bi${}_2$Se${}_3$ in a magnetic field: infrared evidence for magnetoelectric coupling in a topological insulator material
• Axion Electrodynamics in Topological Materials
• Giant topological insulator gap in graphene with 5d adatoms
• Higher Order Topological Phases: A General Principle of Construction
• Topological Anderson Insulator in Three Dimensions
• Topological Surface States and Dirac point tuning in ternary Bi2Te2Se class of topological insulators
• Topological Aspect and Quantum Magnetoresistance of $\beta$-Ag${}_2$Te
• Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state
• Topological Order Parameters for Interacting Topological Insulators
• Wannier Center Sheets in Topological Insulators
• Ordering of magnetic impurities and tunable electronic properties of topological insulators
• Topological Materials Discovery from Crystal Symmetry
• Tailoring tricolor structure of magnetic topological insulator for robust axion insulator
• Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals
• Tunable Casimir repulsion with three dimensional topological insulators
• Gapless Dirac surface states in the antiferromagnetic topological insulator MnBi2Te4
• Orbital magnetoelectric coupling in band insulators
• Magneto-Optical Faraday and Kerr Effects in Topological Insulator Films and in Other Layered Quantized Hall Systems
• Fermi Level Tuning of Epitaxial Sb2Te3 Thin Films on Graphene by Regulating Intrinsic Defects and Substrate Transfer Doping
• Magnetoelectric Effects in Local Light-Matter Interactions
• Above 400 K Robust Perpendicular Ferromagnetic Phase in a Topological Insulator
• Fractional topological insulators in three dimensions
• Surfaces of Axion Insulators
• Symmetry Enforced Non-Abelian Topological Order at the Surface of a Topological Insulator
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Comments on Global Symmetries, Anomalies, and Duality in (2+1)d
• Topological Floquet Spectrum in Three Dimensions via a Two-Photon Resonance
• Topological magneto-electric effects in thin films of topological insulators
• Theory of orbital magnetoelectric response
• Massive Dirac surface states in topological insulator/magnetic insulator heterostructures
• Symmetry Enforced Chiral Hinge States and Surface Quantum Anomalous Hall Effect in Magnetic Axion Insulator ${\text{Bi}}_{2-x}{\text{Sm}}_x{\text{Se}}_3$
• Three-dimensional Topological Insulators on the Pyrochlore Lattice
• Chiral Topological Insulators, Superconductors and other competing orders in three dimensions
• Observation of Quantum-Tunneling Modulated Spin Texture in Ultrathin Topological Insulator Bi2Se3 Films
• A Proposal to Detect Dark Matter Using Axionic Topological Antiferromagnets
• Long Range Intrinsic Ferromagnetism in Two Dimensional Materials and Dissipationless Future Technologies
• Correlated Topological Insulators and the Fractional Magnetoelectric Effect
• Circular dichroism in high-order harmonic generation: Heralding topological phases and transitions in Chern insulators
• Topological BF field theory description of topological insulators
• Magnetically Controllable Topological Quantum Phase Transitions in Antiferromagnetic Topological Insulator MnBi${}_2$Te${}_4$
• Topological insulators in magnetic fields: Quantum Hall effect and edge channels with non-quantized θ-term
• The macroscopic monopolization in diagonal magnetoelectrics
• Experimental signature of parity anomaly in semi-magnetic topological insulator
• Antiferromagnetic Topological Insulator MnBi2Te4: Synthesis and Magnetic properties
• Electric charging of magnetic textures on the surface of a topological insulator
• Topological insulator and the Dirac equation
• Theoretical investigation of the evolution of the topological phase of Bi${}_2$Se${}_3$ under mechanical strain
• Witten effect in a crystalline topological insulator
• Topological insulators and fractional quantum Hall effect on the ruby lattice
• Computational Design of Axion Insulators Based on 5d Spinels Compounds
• Theory of Orbital Magnetization in Solids
• A Single Pair of Weyl Fermions in Half-metallic EuCd2As2 Semimetal
• Surface-edge state and half quantized Hall conductance in topological insulators
• Magnetic orders and topological phases from f-d exchange in pyrochlore iridates
• Topological and geometrical aspects of band theory
• Cross-Correlated Responses of Topological Superconductors and Superfluids
• Tutorial: Computing topological invariants in two-dimensional photonic crystals
• Equivalent topological invariants of topological insulators
• Chern-Simons orbital magnetoelectric coupling in generic insulators
• Role of Berry phase theory for describing orbital magnetism: From magnetic heterostructures to topological orbital ferromagnets
• Wormhole Effect in a Strong Topological Insulator
• Classification and Description of Bosonic Symmetry Protected Topological Phases with semiclassical Nonlinear Sigma models
• Electronic states and magnetic response of MnBi2Te4 by scanning tunneling microscopy and spectroscopy
• Optical conductivity of Bismuth-based topological insulator
• Surface magnetic ordering in topological insulators with bulk magnetic dopants
• Wannier-based calculation of the orbital magnetization in crystals
• Weak antilocalization in HgTe quantum wells and topological surface states: Massive versus massless Dirac fermions
• Emergent topological phenomena in thin films of pyrochlore iridates
• Topological crystalline superconductivity and second-order topological superconductivity in nodal-loop materials
• Topological Field Theory of Non-Hermitian Systems
• Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
• Intrinsic axion insulating behavior in antiferromagnetic MnBi${}_6$Te${}_{10}$
• Magneto-optical and Magneto-electric Effects of Topological Insulators in Quantizing Magnetic Fields
• Nanoscale imaging of equilibrium quantum Hall edge currents and of the magnetic monopole response in graphene
• Topological correspondence between magnetic space group representations
• Full magnetoelectric response of Cr2O3 from first principles
• Magnetoelectrics in Disordered Topological Insulator Josephson Junctions
• Photoemission of Bi${}_2$Se${}_3$ with Circularly Polarized Light: Probe of Spin Polarization or Means for Spin Manipulation?
• Weyl semimetals with short-range interactions
• Engineering Fragile Topology in Photonic Crystals: Topological Quantum Chemistry of Light
• Experimental Verification of Van Vleck Nature of Long-Range Ferromagnetic Order in Vanadium-Doped Three-Dimensional Topological Insulator Sb${}_2$Te${}_3$
• Photocurrent Response of Topological Insulator Surface States
• Symmetry representation approach to topological invariants in $C_{2z}T$-symmetric systems
• Magnetic topological insulator MnBi6Te10 with zero-field ferromagnetic state and gapped Dirac surface states
• Axion Quasiparticles for Axion Dark Matter Detection
• Repulsive Casimir Effect with Chern insulators
• Quantum transport of two-species Dirac fermions in dual-gated three-dimensional topological insulators
• Spin-helical transport in normal and superconducting topological insulators
• Abelian gauge theories on the lattice: $\theta$-terms and compact gauge theory with(out) monopoles
• Half-Magnetic Topological Insulator
• Effect of finite temperature and uniaxial anisotropy on the Casimir effect with three-dimensional topological insulators
• Viscoelastic response of topological tight-binding models in two and three dimensions
• Higher-form symmetries and 3-group in axion electrodynamics
• Lattice model of three-dimensional topological singlet superconductor with time-reversal symmetry
• Giant spin-polarized current in a Dirac fermion system at cyclotron resonance
• Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics
• 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
• Ultrafast Microscopy of a Plasmonic Spin Skyrmion
• The Magnetoelectric Effect in Transition Metal Oxides: Insights and the Rational Design of New Materials from First Principles
• Higher-order topological phases in a spring-mass model on a breathing kagome lattice
• Bicircular light tuning of magnetic symmetry and topology in Dirac semimetal Cd${}_3$As${}_2$
• Spectral signatures of the surface anomalous Hall effect in magnetic axion insulators
• Thin topological insulator film in a perpendicular magnetic field
• Photoinduced quantum spin and valley Hall effects and orbital magnetization in monolayer MoS2
• Machine Learning Topological Phases with a Solid-state Quantum Simulator
• Composite Dirac liquids: parent states for symmetric surface topological order
• Patterns of Electro-magnetic Response in Topological Semi-metals
• Large dynamical axion field in topological antiferromagnetic insulator Mn${}_2$Bi${}_2$Te${}_5$
• Prediction of Weyl semimetal, AFM topological insulator, nodal line semimetal, and Chern insulator phases in Bi2MnSe4
• Optical gyrotropy from axion electrodynamics in momentum space
• Quantum phases of interacting electrons in three-dimensional dirty Dirac semimetals
• On the matter of topological insulators as magnetoelectrics
• Topological magnetic crystalline insulators and co-representation theory
• Dissipationless Phonon Hall Viscosity
• Effective field theories for topological insulators by functional bosonization
• Spin-Resolved Topology and Partial Axion Angles in Three-Dimensional Insulators
• Instability in magnetic materials with dynamical axion field
• Axion optical induction of antiferromagnetic order
• Berry phase and Anomalous Hall Effect in a Three-orbital Tight-binding Hamiltonian
• Electric polarization as a nonquantized topological response and boundary Luttinger theorem
• Engineering three-dimensional topological insulators in Rashba-type spin-orbit coupled heterostructures
• Bulk invariants and topological response in insulators and superconductors with nonsymmorphic symmetries
• Topological axion electrodynamics and 4-group symmetry
• Superconducting proximity effect and Majorana flat bands in the surface of a Weyl semimetal
• Half-Quantized Hall Effect and Power Law Decay of Edge Current Distribution
• Chiral Magnetic Effect and Anomalous Hall Effect in Antiferromagnetic Insulators with Spin-Orbit Coupling
• Collective excitations on a surface of topological insulator
• Quantization in chiral higher order topological insulators: circular dichroism and local Chern marker
• Many-body effects and possible superconductivity in the 2D metallic surface states of 3D topological insulators
• Adiabatically Induced Orbital Magnetization
• Electron-hole pairing in topological insulator thin film
• Magnetic Properties and Electronic Structure of Magnetic Topological Insulator MnBi${}_2$Se${}_4$
• Surface theorem for the Chern-Simons axion coupling
• Multiple magnetic topological phases in bulk van der Waals crystal MnSb4Te7
• Singular robust room-temperature spin response from topological Dirac fermions
• Surface Theory of a Family of Topological Kondo Insulators
• Continuous and discontinuous topological quantum phase transitions
• Using nonlocal surface transport to identify the axion insulator
• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• Prototypical topological orbital ferromagnet $\gamma$-FeMn
• Topological phase transitions in multi-component superconductors
• Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills
• CaFeAs${}_2$: a Staggered Intercalation of Quantum Spin Hall and High Temperature Superconductivity
• Any Axion Insulator Must be a Bulk Three-Dimensional Topological Insulator
• Multicellularity of delicate topological insulators
• Exotic topological density waves in cold atomic Rydberg fermions
• Quasiclassical theory of magnetoelectric effects in superconducting heterostructures in the presence of the spin-orbit coupling
• Classification of "Real" Bloch-bundles: Topological quantum systems of type AI
• Theory of orbital magnetic quadrupole moment and magnetoelectric susceptibility
• Axionic superconductivity in three dimensional doped narrow gap semiconductors
• Topological Insulators Avoid the Parity Anomaly
• Transverse magnetic heat transport on the topological surface
• Magnetic, thermal, and electronic-transport properties of EuMg2Bi2 single crystals
• Global 4-group symmetry and 't Hooft anomalies in topological axion electrodynamics
• Dynamical axion state with hidden pseudospin Chern numbers in MnBi${}_2$Te${}_4$-based heterostructures
• Field-induced Topological Hall effect in antiferromagnetic axion insulator candidate EuIn${}_2$As${}_2$
• Adiabatic Pumping of Chern-Simons Axion Coupling
• Holographic duality between $(2+1)$-d quantum anomalous Hall state and $(3+1)$-d topological insulators
• Theory of optical axion electrodynamics and application to the Kerr effect in topological antiferromagnets
• Anisotropic effect of warping on the lifetime broadening of topological surface states in angle-resolved photoemission from Bi${}_2$Te${}_3$
• Observation of Zeeman effect in topological surface state with distinct material dependence
• Work function of bulk-insulating topological insulator Bi2-xSbxTe3-ySey
• The non-commutative n-th Chern number
• Topological phases of Bi(111) bilayer in an external exchange field
• Bulk metals with helical surface states
• Pfaffian formalism for higher-order topological insulators
• Intrinsic topological phases in Mn${}_2$Bi${}_2$Te${}_5$ tuned by the layer magnetization
• Entanglement polarization for the topological quadrupole phase
• Magnetoelectric effect and orbital magnetization in skyrmion crystals: Detection and characterization of skyrmions
• Dynamical piezoelectric and magnetopiezoelectric effects in polar metals from Berry phases and orbital moments
• Chiral symmetry on the edge of 2D symmetry protected topological phases
• Canonical magnetic insulators with isotropic magnetoelectric coupling
• Topological Zero-Dimensional Defect and Flux States in Three-Dimensional Insulators
• Local Topological Markers in Odd Spatial Dimensions and Their Application to Amorphous Topological Matter
• On Kottler's path: origin and evolution of the premetric program in gravity and in electrodynamics
• Strain induced ${\mathbb{Z}}_2$ topological insulating state of $\beta$-As${}_2$Te${}_3$
• Observation of the Axion quasiparticle in 2D MnBi${}_2$Te${}_4$
• Gauge-field fluctuations in 3D topological Mott insulators
• Electromagnetic description of three-dimensional time-reversal invariant ponderable topological insulators
• Geometric aspects of nonlinear and nonequilibrium phenomena
• Proximity effect between a topological insulator and a magnetic insulator with large perpendicular anisotropy
• Orbital magnetoelectric effect in zigzag nanoribbons of p-band systems
• Teleportation of Berry curvature on the surface of a Hopf insulator
• Metal-Insulator Transition in Variably Doped (Bi1-xSbx)2Se3 Nanosheets
• Dissipationless Layertronics in Axion Insulator $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• Symmetry protected Z2-quantization and quaternionic Berry connection with Kramers degeneracy
• Axionic Band Topology in Inversion-Symmetric Weyl-Charge-Density Waves
• Models of three-dimensional fractional topological insulators
• Probing surface states of topological insulator: Kondo effect and Friedel oscillation under magnetic field
• Axion Insulator State in a Ferromagnet/Topological Insulator/Antiferromagnet Heterostructure
• Time-Domain Terahertz Spectroscopy in High Magnetic Fields
• Axion coupling in the hybrid Wannier representation
• Aspects of Berry phase in QFT
• Anisotropic topological magnetoelectric effect in axion insulators
• Smooth gauge and Wannier functions for topological band structures in arbitrary dimensions
• Bulk-boundary correspondence in three dimensional topological insulators
• Induced spin texture in semiconductor/topological insulator heterostructures
• PbTe/PbSnTe heterostructures as analogs of topological insulators
• Half-Quantized Hall Effect at the Parity-Invariant Fermi Surface
• Corner states of topological fullerenes
• Quantum spin Hall effect induced by non-magnetic and magnetic staggered potentials
• Coherent control of optical injection of spin and currents in topological insulators
• Tunable dynamical magnetoelectric effect in antiferromagnetic topological insulator MnBi${}_2$Te${}_4$ films
• Charge density waves in Weyl semimetals
• Inducing magnetism onto the surface of a topological crystalline insulator
• Delocalization Transition of Disordered Axion Insulator
• Local Topological Markers in Odd Dimensions
• An isolated Dirac cone on the surface of ternary tetradymite-like topological insulators
• Topological Insulators and Quantum Spin Liquids
• Fluctuation-induced torque on a topological insulator out of thermal equilibrium
• Pole expansion of self-energy and interaction effect on topological insulators
• Topological Insulators and Superconductors from String Theory
• Breaking time reversal symmetry in topological insulators
• Geometric and nongeometric contributions to the surface anomalous Hall conductivity
• Geometric orbital magnetization in adiabatic processes
• Lattice model for the surface states of a topological insulator with applications to magnetic and exciton instabilities
• Emergent axion response in multilayered metamaterials
• Ultrafast coherent interlayer phonon dynamics in atomically thin layers of MnBi2Te4
• Gate-Tunable Berry Curvature Dipole Polarizability in Dirac Semimetal Cd3As2
• Quantization and $2\pi$ Periodicity of the Axion Action in Topological Insulators
• 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
• Parity Anomaly in the non-linear response of Nodal-Line Semimetals
• Axion Insulator State with ferromagnetic ordering in CrI3/Bi2Se3/MnBi2Se4 Heterostructure
• Topological Insulator and the $\theta$-vacuum in a system without boundaries
• Optical properties of magnetically doped ultra-thin topological insulator slabs
• Noncollinear magnetic structure and magnetoelectric coupling in buckled honeycomb Co${}_4$Nb${}_2$O${}_9$:A single crystal neutron diffraction study
• A-type antiferromagnetic order and magnetic phase diagram of the trigonal Eu spin-7/2 triangular-lattice compound EuSn2As2
• Engineering magnetic topological insulators in Eu${}_5{M}_2{X}_6$ Zintls
• Non-Abelian tensor Berry connections in multi-band topological systems
• Antiferromagnetic topological insulators in cold atomic gases
• Mass acquisition of Dirac fermions in Cr-doped topological insulator Sb2Te3 films
• Spin Chern Pumping from the Bulk of Two-Dimensional Topological Insulators
• Resonant manifestations of chiral excitons in magnetooptical Faraday and Kerr effects in topological insulator film
• Optical Tellegen metamaterial with spontaneous magnetization
• Theory of inversion-${\mathbb{Z}}_4$ protected topological chiral hinge states and its applications to layered antiferromagnets
• Anomalous galvanomagnetism, cyclotron resonance and microwave spectroscopy of topological insulators
• Bulk-edge correspondence for nonlinear eigenvalue problems
• Measuring second Chern number from non-adiabatic effects
• Bulk-and-edge to corner correspondence
• Axion-matter coupling in multiferroics
• T-duality simplifies bulk-boundary correspondence
• Chiral orbital current and anomalous magnetic moment in gapped graphene
• Signatures of long-range-correlated disorder in the magnetotransport of ultrathin topological insulators
• Axion/Hidden-Photon Dark Matter Conversion into Condensed Matter Axion
• Magnetic-Resonance-Induced Pseudo-electric Field and Giant Current Response in Axion Insulators
• Probing charge pumping and relaxation of the chiral anomaly in a Dirac semimetal
• Interaction and disorder effects in 3D topological insulator thin films
• Quantum Atmospherics for Materials Diagnosis
• Controlling a quantum point junction on the surface of an antiferromagnetic topological insulator
• Theory of orbital magnetization in disordered systems
• Detection of magnetic gap in the topological surface states of MnBi2Te4
• Half-Quantized Helical Hinge Currents in Axion Insulators
• Local optical control of ferromagnetism and chemical potential in a topological insulator
• An antiferromagnetic diode effect in even-layered MnBi2Te4
• Real-time observation of magnetization and magnon dynamics in a two-dimensional topological antiferromagnet MnBi2Te4
• Adiabatic transformation as a search tool for new topological insulators: distorted ternary Li${}_2$AgSb-class semiconductors and related compounds
• Metamagnetism of few layer topological antiferromagnets
• Electrically Controlled Anomalous Hall Effect and Orbital Magnetization in Topological Magnet MnBi2Te4
• Spin-axion coupling
• Casimir repulsion between Topological Insulators in the diluted regime
• Axionic Antiferromagnetic Insulator Phase in a Correlated and Spin-Orbit Coupled System
• Electrostatic effects and band-bending in doped topological insulators
• Giant nonlocal edge conduction in the axion insulator state of MnBi2Te4
• Infrared study of the multiband low-energy excitations of the topological antiferromagnet MnBi${}_2$Te${}_4$
• Intrinsic magnetic topological insulators of the MnBi${}_2$Te${}_4$ family
• Discovery of several large families of Topological Insulator classes with backscattering-suppressed spin-polarized single-Dirac-cone on the surface
• Topological Invariants and Ground-State Wave Functions of Topological Insulators on a Torus
• Realization of the Chern insulator and Axion insulator phases in antiferromagnetic $MnTe$-$B{i}_2(Se,Te{)}_3$-$MnTe$ heterostructures
• Microscopic Theory of the Refractive Index
• Reversed electromagnetic Vavilov-Čerenkov radiation in naturally existing magnetoelectric media
• Strong Correlation Effects on Surfaces of Topological Insulators via Holography
• Topological surface states of MnBi${}_2$Te${}_4$ at finite temperatures and at domain walls
• A Demonstration of Consistency between the Quantum Classical Liouville Equation and Berry's Phase and Curvature
• Axion Insulator State in Hundred-Nanometer-Thick Magnetic Topological Insulator Sandwich Heterostructures
• Generalized quantization condition in topological insulator
• Electromagnetic and thermal responses in topological matter: topological terms, quantum anomalies and D-branes
• Surface plasmons in doped topological insulators
• Terahertz Faraday and Kerr rotation spectroscopy of Bi${}_{1-x}$Sb${}_x$ films in high magnetic fields up to 30 Tesla
• Gauge-discontinuity contributions to Chern-Simons orbital magnetoelectric coupling
• Quantum field theory of topological spin dynamics
• Optical modes in slab waveguides with magnetoelectric effect
• Chiral channel network from magnetization textures in 2D MnBi2Te4
• Domain Wall in a Quantum Anomalous Hall Insulator as a Magnetoelectric Piston
• On the topological surface states of the intrinsic magnetic topological insulator Mn-Bi-Te family
• The Bulk-Hinge Correspondence and Three-Dimensional Quantum Anomalous Hall Effect in Second Order Topological Insulators
• Functional Approach to Electrodynamics of Media
• Tunneling spectroscopy and Josephson current of superconductor-ferromagnet hybrids on the surface of a 3D TI
• In-Plane Magnetoresistance on the Surface of Topological Insulator
• Topological-phase effects and path-dependent interference in microwave structures with magnetic-dipolar-mode ferrite particles
• Observation of magnetism induced topological edge state in antiferromagnetic topological insulator MnBi4Te7
• Topological response theory of doped topological insulators
• Electromagnetic fields induced by an electric charge near a Weyl semimetal
• Unified Topological Response Theory for Gapped and Gapless Free Fermions
• Electromagnetic effects induced by time-dependent axion field
• Organizing symmetry-protected topological phases by layering and symmetry reduction: a minimalist perspective
• A Non-Commutative Formula for the Isotropic Magneto-Electric Response
• Role of boundary conditions, topology and disorder in the chiral magnetic effect in Weyl semimetals
• Fermionic Hopf solitons and Berry's phase in topological surface superconductors
• Bosonic symmetry protected topological phases with reflection symmetry
• Dynamical Piezomagnetic Effect in Time-Reversal Invariant Weyl Semimetals with Axionic Charge-Density Waves
• Classification of "Quaternionic" Bloch-bundles: Topological Quantum Systems of type AII
• 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 Nature of High Temperature Superconductivity
• Electric field modulated topological magnetoelectric effect in Bi${}_2$Se${}_3$
• Effects of Defects and Dephasing on Charge and Spin Currents in Two-Dimensional Topological Insulators
• Weyl Phases in Point-Group Symmetric Superconductors
• Quantized surface magnetism and higher-order topology: Application to the Hopf insulator
• Unusual Intralayer Ferromagnetism Between S = 5/2 ions in MnBi${}_2$Te${}_4$: Role of Empty Bi $p$ States
• Spin fluctuations in quantized transport of magnetic topological insulators
• Soft topological objects in topological media
• Koopmans' theorem as the mechanism of nearly gapless surface states in self-doped magnetic topological insulators
• Fractionalized topological insulators from frustrated spin models in three dimensions
• Topological Magneto-Electric Effect Decay
• Finite frequency magnetoelectric response of three dimensional Topological Insulators
• Novel magneto-electric multiferroics from first-principles
• Spinning Radiation from Topological Insulator
• Ferromagnetic MnSn monolayer epitaxially grown on silicon substrate
• High spin axion insulator
• Magnetoelectric effect in topological insulator films beyond the linear response regime
• Manifestation of axion electrodynamics through magnetic ordering on edges of topological insulator
• Magnetic warping in topological insulators
• Axion response in gapless systems
• Spin-Momentum Locked Topological Surface States, non-trivial Berry's phase and magnetoelectric quantization in topological insulators
• Optical $N$-insulators: topological obstructions in the atomistic susceptibility tensor
• Modification of transition radiation by three-dimensional topological insulators
• Giant Hall photoconductivity in narrow-gapped Dirac materials
• Kinetic magnetoelectric effect in topological insulators
• 2D-Dirac surface states and bulk gap probed via quantum capacitance in a 3D topological insulator
• Quantum theory of the Intrinsic Orbital Magnetoelectric Effect in itinerant electron systems at finite temperatures
• From magnetoelectric response to optical activity
• Twisted magnetic topological insulators
• A Comment On Berry Connections
• Single-point spin Chern number in a supercell framework
• Topological Properties of SnSe/EuS and SnTe/CaTe Interfaces
• Kerr, Faraday, and Magnetoelectric Effects in MnBi${}_2$Te${}_4$ Thin Films
• Antiferromagnetic topological insulator with selectively gapped Dirac cones
• Photon-drag photovoltaic effects and quantum geometric nature
• Probing anomalous driving
• Magnetoelectric polarizability: A microscopic perspective
• Metal-insulator transition and tunable Dirac-cone surface state in the topological insulator TlBi1-xSbxTe2 studied by angle-resolved photoemission
• Van der Waals torque and force between anisotropic topological insulator slabs
• Time Circular Birefringence in Time-Dependent Magnetoelectric Media
• Interaction effects on almost flat surface bands in topological insulators
• Temperature Induced Spin Density Wave in Magnetic Doped Topological Insulators
• Topological Magnetoelectric Response in Ferromagnetic Axion Insulators
• Topological phase transitions with and without energy gap closing
• Charge Conservation Beyond Uniformity: Spatially Inhomogeneous Electromagnetic Response in Periodic Solids
• Scaling laws for nonlinear electromagnetic responses of Dirac fermions
• Towards a theory of surface orbital magnetization
• Geometrically induced electric polarization in conical topological insulators
• Magnetoelectricity in two-dimensional materials
• Magnetoelectric polarizability and optical activity: spin and frequency dependence
• Magnetoelectric effect of a conducting sphere near a planar topological insulator
• Axion instability and non-linear electromagnetic effect
• Non-adiabatic bulk-surface oscillations in driven topological insulators
• Emergent Momentum-Space Skyrmion Texture on the Surface of Topological Insulators
• Fractional Electromagnetic Response in Three-Dimensional Chiral Anomalous Semimetal
• Bulk photospin effect: Calculation of electric spin susceptibility to second order in an electric field
• Resonant Faraday and Kerr effects due to in-gap states on the surface of a topological insulator
• Non-local order parameters for states with topological electromagnetic response
• Time-reversal invariant finite-size topology
• First-Principles Calculation of the Optical Rotatory Power of Periodic Systems: Modern Theory with Modern Functionals
• Lyddane-Sachs-Teller relationship in linear magnetoelectrics
• Lossless Spin-Orbit Torque in Antiferromagnetic Topological Insulator MnBi${}_2$Te${}_4$
• When does Magnetization Depend on the Boundary?
• Symmetry-breaking pathway towards the unpinned broken helix
• Discovery of a Topological Charge Density Wave
• Nonlinear Magneto-Optical and Magnetoelectric Phenomena in Topological Insulator Heterostructures
• Dyon condensation in topological Mott insulators
• Two-dimensional topological insulators in quantizing magnetic fields
• Competing Adiabatic Thouless Pumps in Enlarged Parameter Spaces
• Topological Magnetoelectric Effect: Nonlinear Time-Reversal-Symmetric Response, Witten Effect, and Half-Integer Quantum Hall Effect
• Topological Phase Transition in Layered XIn${}_2$P${}_2$ (X = Ca, Sr)
• On exotic sphere fibrations, topological phases, and edge states in physical systems
• Magneto-Infrared Spectroscopic Study of Ultrathin Bi${}_2$Te${}_3$ Single Crystals
• Hybrid-order topology in unconventional magnets of Eu-based Zintl compounds with surface-dependent quantum geometry
• Coherent Magneto-Optical Effects in Topological Insulators: Excitation Near the Absorption Edge
• Infrared study of the interplay of charge, spin, and lattice excitations in the magnetic topological insulator EuIn${}_2$As${}_2$
• Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
• Generalized chiral instabilities, linking numbers, and non-invertible symmetries
• Topological effective field theories for Dirac fermions from index theorem
• Microwave magnetoelectric fields: An analytical study of topological characteristics
• Emergence of inductance and capacitance from topological electromagnetism
• Spin-charge-density wave in a squircle-like Fermi surface for ultracold atoms
• Absence of induced magnetic monopoles in Maxwellian magnetoelectrics
• Remarks on the static potential in theories with Lorentz violation terms
• Topological phases of the interacting Su-Schrieffer-Heeger model: An analytical study
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids
• Topology and Magnetism in the Kondo Insulator Phase Diagram
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Non-volatile Electric Control of Magnetic and Topological Properties of MnBi2Te4 Thin Films
• Partial Charge Transfer and Absence of Induced Magnetization in EuS(111)/Bi${}_2$Se${}_3$ Heterostructures
• Long-Time Magnetic Relaxation in Antiferromagnetic Topological Material EuCd${}_2$As${}_2$
• Theory of Charge and Heat Polarizations with the Keldysh Formalism
• On the half-quantized Hall conductance of massive surface electrons in magnetic topological insulator films
• Polarization and orbital magnetization in Chern insulators: A microscopic perspective
• Anderson Critical Metal Phase in Trivial States Protected by Average Magnetic Crystalline Symmetry
• Electric Polarization in Inhomogeneous Crystals
• Gate tunable quantum Hall effects in defect-suppressed Bi2Se3 films
• Emergent topological fields and relativistic phonons within the thermoelectricity in topological insulators
• Non-local topological magnetoelectric effect by Coulomb interaction at a topological insulator-ferromagnet interface
• Electromagnetic Response of Three-dimensional Topological Crystalline Insulators
• In-plane magnetoelectric response in bilayer graphene
• Resonant magneto-optic Kerr effect in the magnetic topological insulator Cr:(Sb${}_x$,Bi${}_{1-x}$)${}_2$Te${}_3$
• Magnetization-Induced Phase Transitions on the surface of 3D Topological Insulators
• Axion insulators protected by C2T and their K-theory invariants and material realization
• Higher-order topological insulators in a crisscross antiferromagnetic model
• Exciton condensations in thin film topological insulator
• Thermal Transport Properties of Magnons on the $\alpha$-T${}_3$ Lattice
• Determination of the quantized topological magneto-electric effect in topological insulators from Rayleigh scattering
• Skyrmion quantum numbers and quantized pumping in two dimensional topological chiral magnets
• How Do You Want That Insulator?
• Electromagnetic coupling of spins and pseudospins in bilayer graphene
• Crystalline-electromagnetic responses of higher order topological semimetals
• Quantized electromagnetic response of three-dimensional chiral topological insulators
• Evidence for Half-Quantized Chiral Edge Current in a C = 1/2 Parity Anomaly State
• Ambipolar magneto-optical response of ultra-low carrier density topological insulators
• The search for strong topological insulators
• Irreversible proliferation of magnetic moments at cleaved surfaces of the topological Kondo insulator SmB6
• Magnetotransport and Berry phase Tuning in Gd-doped Bi2Se3 Topological Insulator Single Crystals
• Electrodynamics of magnetoelectric media and magnetoelectric fields
• Geometrically induced reversion of Hall current in a topological insulator cavity
• Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
• Geometric Approach to 3D Interfaces at Strong Coupling
• Optical intersubband properties of a core-shell semiconductor-topological insulator quantum dot described by $\theta$-Electrodynamics
• Green's Function Method for Line Defects and Gapless Modes in Topological Insulators : Beyond Semiclassical Approach
• Gapless Criterion for Crystals from Effective Axion Field
• Incommensurate broken helix induced by nonstoichiometry in the axion insulator candidate EuIn${}_2$As${}_2$
• Automated construction of maximally localized Wannier functions for bands with nontrivial topology
• Orbital magnetoelectric coupling at finite electric field
• Orbital Gravito-Magnetoelectric response and Orbital magnetic quadrupole moment correction
• Topological insulator homojunctions including magnetic layers: the example of n-p type ($n$-QLs Bi${}_2$Se${}_3$/Mn-Bi${}_2$Se${}_3$) heterostructures
• XFe4Ge2 (X = Y, Lu) and Mn3Pt: Filling-enforced magnetic topological metals
• Axion mass in antiferromagnetic insulators
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• 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
• Dynamical magnetoelectric coupling in axion insulator thin films
• Dissipative Edge Transport in Disordered Axion Insulator Films
• Dynamic axion field in the magnetoelectric antiferromagnet chromia
• Capacitive scheme to detect the topological magnetoelectric effect
• Vavilov-Cherenkov radiation for parallel motion in three-dimensional topological insulators
• Intrinsic antiferromagnetic topological insulator and axion state in V2WS4
• Symmetry, topology, and geometry: The many faces of the topological magnetoelectric effect
• Localization Trajectory and Chern-Simons axion coupling for Bilayer Quantum Anomalous Hall Systems
• Theory of the Strain-Induced Magnetoelectric Effect in Planar Dirac Systems
• Gap and spin texture engineering of Dirac topological states at the Cr-Bi${}_2$Se${}_3$ interface
• Interaction Correction to the Magneto-Electric Polarizability of $Z_2$ Topological Insulators
• Zone-Center Dynamical Matrix in Magnetoelectrics
• Dirac Quantum Wells at Domain Walls in Antiferromagnetic Topological Insulators
• Topological magnetoelectric pump in three dimensions
• Exchange and collective behavior of magnetic impurities in a disordered helical metal
• Observation of multiple Dirac states in a magnetic topological material EuMg2Bi2
• Gate-tunable magnetoresistance in six-septuple-layer MnBi${}_2$Te${}_4$
• Magnetoelectric-field electrodynamics: Search for magnetoelectric point scatterers
• Axion insulator, Weyl points, quantum anomalous Hall effect and magnetic topological phase transition in Eu3In2As4
• Bound-states and polarized charged zero modes in three-dimensional topological insulators induced by a magnetic vortex
• Observation of topological Faraday and Kerr rotations in quantum anomalous Hall state by terahertz magneto-optics
• Quantum Capacitance of a Topological Insulator-Ferromagnet Interface
• A thermodynamic measure of the Magneto-electric coupling in the 3D topological insulator
• Topological staggered field-electric effect with bipartite magnets
• Quantum decoherence by magnetic fluctuations in a magnetic topological insulator
• Electromagnon on the Surface of Magnetic Topological Insulator
• Bulk-Boundary Correspondence for Topological Insulators with Quantized Magneto-Electric Effect
• Spin Weyl Topological Insulators
• Time-reversal invariant topological skyrmion phases
• Topological Effect of Surface Plasmon Excitation in Gapped Isotropic Topological Insulator Nanowires
• Dynamics of impurity in the environment of Dirac fermions
• Multiphoton Spectroscopy of a Dynamical Axion Insulator
• Bilinear planar Hall effect in topological insulators due to spin-momentum locking inhomogeneity
• Topological phases of amorphous matter
• Mirror Chern numbers in the hybrid Wannier representation
• Topological States in Chevrel Phase Materials from First-principle Calculations
• Electric Field-Induced Skyrmion Crystals via Charged Monopoles in Insulating Helimagets
• Spin accumulation in disordered topological insulator thin films
• Correlation Effects in Orbital Magnetism
• Quantum Anomalous Hall Effect in Three-dimensional Topological Insulator/Thin-film Ferromagnetic Metal Bilayer Structure
• Anti-commutative dynamical magneto-electric response in certain solid state materials
• First observation of spin-helical Dirac fermions and topological phases in undoped and doped Bi2Te3 demonstrated by spin-ARPES spectroscopy
• Quantum dual-path interferometry scheme for axion dark matter searches
• Topology-insensitive axion mass in magnetic topological insulators
• Field Theoretic Aspects of Condensed Matter Physics: An Overview
• Hybrid symmetry class topological insulators
• Intrinsic (Axion) Statistical Topological Insulator
• Linear and Nonlinear Edelstein Effects in Chiral Topological Semimetals
• Differential geometric invariants for time-reversal symmetric Bloch-bundles II: The low dimensional "Quaternionic" case
• Electron chirality and hydrodynamic helicity: Analysis in the atomic limit
• Vacuum polarization at the boundary of a topological insulator
• Realization of the Tellegen Effect in Resonant Optical Metasurfaces
• Absence of Parity Anomaly in Massive Dirac Fermions on a Lattice
• Analytical model of a Tellegen meta-atom
• Topological magnetoelectric effects in microwave far-field radiation
• Optical analog of particle production in gravitational fields
• Chiral Majorana Edge Modes and Vortex Majorana Zero Modes in Superconducting Antiferromagnetic Topological Insulator
• Magneto-optical Kerr and Faraday effects in bilayer antiferromagnetic insulators
• Influence of Dielectric Environment on Role of Spin-Orbit Interaction for Image Potentials
• Universal Role of Combined Symmetry for the Protection of the Dirac Cone in Antiferromagnetic Topological Insulators
• Antiferromagnetic order in a layered magnetic topological insulator MnBi${}_2$Se${}_4$ probed by resonant soft x-ray scattering
• Edge bands and vertical transport in topological insulator/magnetic insulator heterostructures
• Anomalous Linear and Quadratic Nodeless Surface Dirac Cones in Three-Dimensional Dirac Semimetals
• Bulk versus surface: Nonuniversal partitioning of the topological magnetoelectric effect
• Crystalline finite-size topology
• Synthetic magnetoelectric response of lattice bosonic insulators
• Multi-tunneling effect of nonreciprocal Landau-Zener tunneling: Insights from DC field responses
• Emergent Weyl-like points in periodically modulated systems
• Axion electrodynamics and giant magnetic birefringence in Weyl excitonic insulators
• Promoted current-induced spin polarization in inversion symmetry broken topological insulator thin films
• Axions at the meV Crossroads: Theory, Cosmology, Astrophysics, and Experiments
• Exact modes, hybridization and polarization rotation of electromagnetic fields propagating in topological insulating slab
• First-principles discovery of novel quantum physics and materials: From theory to experiment
• The magnetoelectric effect due to a semispherical capacitor surrounded by a spherical topologically insulating shell
• Topological magnetoelectric response in passive magnetic devices
• Feynman paradox in a spherical axion insulator
• Exact expression for the Berry connection in the projection gauge
• Exact Mappings in Condensed Matter Physics
• Remarks on a compact Abelian Higgs model
• Numerical calculation of the $k$-space second Chern number in four dimensions
• Searching Repulsive Casimir Forces Between Magneto-Electric Materials
• Sb doping effect on transport behavior in the topological insulator Bi2Se3
• Signatures of Topological Phase Transition in 3d Topological Insulators from Dynamical Axion Response
• Three-dimensional quantum Hall states as a chiral electromagnetic filter
• Momentum non-conservation in a scalar quantum field theory with a planar $\theta$ interface
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings
• Topological Invariants of a Filling-Enforced Quantum Band Insulator
• Emerging axion detection in artificial magnetoelectric materials
• Gapless hinge states from adiabatic pumping of axion coupling
• Chern insulators in two and three dimensions: A global perspective
• Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems
• Theoretical design of the large topological magnetoelectric effect in the Co-intercalated NbS${}_2$ structure
• Orbital Longitudinal Magneto-electric Coupling in Multilayer Graphene