Axion Electrodynamics in Topological Materials

Abstract

One of the intriguing properties characteristic to three-dimensional topological materials is the topological magnetoelectric phenomena arising from a topological term called the $\theta$ term. Such magnetoelectric phenomena are often termed the axion electrodynamics, since the $\theta$ term has exactly the same form as the action describing the coupling between a hypothetical elementary particle, axion, and a photon. The axion was proposed about forty years ago to solve the so-called strong CP problem in quantum chromodynamics, and is now considered as a candidate for dark matter. In this tutorial, we overview theoretical and experimental studies on the axion electrodynamics in three-dimensional topological materials. Starting from the topological magnetoelectric effect in three-dimensional time-reversal invariant topological insulators, we describe the basic properties of static and dynamical axion insulators whose realizations require magnetic orderings. We also discuss the electromagnetic responses of Weyl semimetals with a focus on the chiral anomaly. We extend the concept of the axion electrodynamics in condensed matter to topological superconductors, whose responses to external fields can be described by a gravitational topological term analogous to the $\theta$ term.

arXiv comment30 pages. Invited Tutorial in Journal of Applied Physics

References in corpus (138)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Topological Insulators in Three Dimensions
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Insulators with Inversion Symmetry
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Topological invariants of time-reversal-invariant band structures
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Weyl Semimetal in a Topological Insulator Multilayer
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• The Chiral Magnetic Effect
• Periodic table for topological insulators and superconductors
• Topological Insulator Materials
• Magnetic-field-induced quantized anomalous Hall effect in intrinsic magnetic topological insulator MnBi${}_2$Te${}_4$
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
• Prediction and observation of the first antiferromagnetic topological insulator
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Intrinsic magnetic topological insulators in van der Waals layered MnBi${}_2$Te${}_4$-family materials
• Observation of the chiral magnetic effect in ZrTe5
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
• Topological response in Weyl semimetals and the chiral anomaly
• Model Hamiltonian for Topological Insulators
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• 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
• Recent developments in transport phenomena in Weyl semimetals
• Topological Superconductivity and Superfluidity
• Experimental realization of an intrinsic magnetic topological insulator
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Antiferromagnetic topological insulators
• Unique thickness-dependent properties of the van der Waals interlayer antiferromagnet $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$ films
• Magnetic impurities on the surface of a topological insulator
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Inversion Symmetric Topological Insulators
• Giant Magneto-optical Kerr Effect and Universal Faraday Effect in Thin-film Topological Insulators
• Dynamical Axion Field in Topological Magnetic Insulators
• Electromagnetic Response of Weyl Semimetals
• Negative Magnetoresistance in Dirac Semimetal Cd3As2
• Giant negative magnetoresistance induced by the chiral anomaly in individual Cd3As2 nanowires
• Anomalous Hall Effect in Weyl Metals
• Spin pumping and spin-transfer torques in antiferromagnets
• Chiral anomaly and transport in Weyl metals
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Axionic field theory of (3+1)-dimensional Weyl semi-metals
• 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
• Crystal growth and magnetic structure of MnBi2Te4
• Gapless surface Dirac cone in antiferromagnetic topological insulator MnBi${}_2$Te${}_4$
• Demonstration of one-parameter scaling at the Dirac point in graphene
• Topological Electronic Structure and Its Temperature Evolution in Antiferromagnetic Topological Insulator MnBi2Te4
• Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors
• Intrinsic magnetic topological insulator phases in the Sb doped MnBi2Te4 bulks and thin flakes
• Dirac surface states in intrinsic magnetic topological insulators EuSn2As2 and MnBi2nTe3n+1
• Dirac Fermions in Antiferromagnetic Semimetal
• Quantized Response and Topology of Insulators with Inversion Symmetry
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Spin scattering and noncollinear spin structure-induced intrinsic anomalous Hall effect in antiferromagnetic topological insulator $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• A van der Waals antiferromagnetic topological insulator with weak interlayer magnetic coupling
• Natural van der Waals heterostructural single crystals with both magnetic and topological properties
• Topological delocalization of two-dimensional massless Dirac fermions
• Topological quantization in units of the fine structure constant
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Gyrotropic magnetic effect and the magnetic moment on the Fermi surface
• Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra
• Phenomenology of Current-Induced Dynamics in Antiferromagnets
• Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state
• Möbius Insulator and Higher-Order Topology in MnBi${}_{2n}$Te${}_{3n+1}$
• Ordering of magnetic impurities and tunable electronic properties of topological insulators
• Tailoring tricolor structure of magnetic topological insulator for robust axion insulator
• Superfluid spin transport through antiferromagnetic insulators
• Gapless Dirac surface states in the antiferromagnetic topological insulator MnBi2Te4
• Staggered Dynamics in Antiferromagnets by Collective Coordinates
• Experimental tests of the chiral anomaly magnetoresistance in the Dirac-Weyl semimetals Na${}_3$Bi and GdPtBi
• Orbital magnetoelectric coupling in band insulators
• Observation of the universal magnetoelectric effect in a 3D topological insulator
• Quantum Hall Effect on Top and Bottom Surface States of Topological Insulator (Bi1-xSbx)2Te3 Films
• Surface states and Rashba-type spin polarization in antiferromagnetic MnBi${}_2$Te${}_4$
• Chern-Simons Currents and Chiral Fermions on the Lattice
• Topological magneto-electric effects in thin films of topological insulators
• Theory of orbital magnetoelectric response
• Chiral magnetic effect and natural optical activity in (Weyl) metals
• Rational design principles of quantum anomalous Hall effect from superlattice-like magnetic topological insulators
• Magneto-transport phenomena related to the chiral anomaly in Weyl semimetals
• Chiral Topological Insulators, Superconductors and other competing orders in three dimensions
• A Proposal to Detect Dark Matter Using Axionic Topological Antiferromagnets
• Thermal Hall Effect and Geometry with Torsion
• Magnetically Controllable Topological Quantum Phase Transitions in Antiferromagnetic Topological Insulator MnBi${}_2$Te${}_4$
• Low-energy effective theory in the bulk for transport in a topological phase
• Topological electronic structure and intrinsic magnetization in MnBi${}_4$Te${}_7$: a Bi${}_2$Te${}_3$-derivative with a periodic Mn sublattice
• Topological Invariants of Metals and Related Physical Effects
• Topological field theory and thermal responses of interacting topological superconductors
• A-type Antiferromagnetic order in MnBi4Te7 and MnBi6Te10 single crystals
• Cross-Correlated Responses of Topological Superconductors and Superfluids
• Chern-Simons orbital magnetoelectric coupling in generic insulators
• Topological Insulators with Commensurate Antiferromagnetism
• Coexistence of Surface Ferromagnetism and Gapless Topological State in MnBi${}_2$Te${}_4$
• Intrinsic axion insulating behavior in antiferromagnetic MnBi${}_6$Te${}_{10}$
• Chiral magnetic effect in two-band lattice model of Weyl semimetal
• Relativistic nature of a magnetoelectric modulus of Cr_2O_3-crystals: a new 4-dimensional pseudoscalar and its measurement
• Optical gyrotropy as a test for dynamic chiral magnetic effect of Weyl semimetals
• In-plane antiferromagnetic moments in axion topological insulator candidate EuIn${}_2$As${}_2$
• Surface states and chiral symmetry on the lattice
• Distinct Topological Surface States on the Two Terminations of MnBi${}_4$Te${}_7$
• Quantum Kinetic Theory of the Chiral Anomaly
• Large dynamical axion field in topological antiferromagnetic insulator Mn${}_2$Bi${}_2$Te${}_5$
• Topological Weyl Superconductor to Diffusive Thermal Hall Metal Crossover in the B-Phase of UPt${}_3$
• Instability in magnetic materials with dynamical axion field
• Heat transport as torsional responses and Keldysh formalism in a curved spacetime
• Chiral Magnetic Effect and Anomalous Hall Effect in Antiferromagnetic Insulators with Spin-Orbit Coupling
• Relativistic analysis of magnetoelectric crystals: extracting a new 4-dimensional P odd and T odd pseudoscalar from Cr_2 O_3 data
• Axionic superconductivity in three dimensional doped narrow gap semiconductors
• Dynamical axion state with hidden pseudospin Chern numbers in MnBi${}_2$Te${}_4$-based heterostructures
• Topological Magnetic Insulators with Corundum Structure
• Signature of band inversion in the antiferromagnetic phase of axion insulator candidate EuIn2As2
• Chiral Anomaly and Spin Gap in One-Dimensional Interacting Fermions
• Weyl Semimetal in the Strong Coulomb Interaction Limit
• Quantization and $2\pi$ Periodicity of the Axion Action in Topological Insulators
• Electromagnetic and thermal responses of Z topological insulators and superconductors in odd spatial dimensions
• Quantum Kinetic Theory of Thermoelectric and Thermal Transport in a Magnetic Field
• Macroscopic parity violating effects and 3He-A
• Axionic Antiferromagnetic Insulator Phase in a Correlated and Spin-Orbit Coupled System
• Dynamical axion in topological superconductors and superfluids
• Electromagnetic effects induced by time-dependent axion field
• Electric-Field-Induced Spin Resonance in Antiferromagnetic Insulators: Inverse Process of the Dynamical Chiral Magnetic Effect
• Strong Coupling Expansion in a Correlated Three-Dimensional Topological Insulator
• Axion instability and non-linear electromagnetic effect
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids

Cited by in corpus (126)

• Colloquium: Quantum anomalous Hall effect
• Axion Quasiparticles for Axion Dark Matter Detection
• Quantized anomalous Hall resistivity achieved in molecular beam epitaxy-grown MnBi2Te4 thin films
• Routes to realize the axion-insulator phase in MnBi${}_2$Te${}_4$(Bi${}_2$Te${}_3$)${}_n$ family: a perspective
• Theory of optical axion electrodynamics and application to the Kerr effect in topological antiferromagnets
• Distinct magnetic gaps between antiferromagnetic and ferromagnetic orders driven by surface defects in the topological magnet MnBi2Te4
• Dissipationless Layertronics in Axion Insulator $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• Tunable dynamical magnetoelectric effect in antiferromagnetic topological insulator MnBi${}_2$Te${}_4$ films
• Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter
• Ultrafast coherent interlayer phonon dynamics in atomically thin layers of MnBi2Te4
• Emergent axion response in multilayered metamaterials
• Light-induced half-quantized Hall effect and axion insulator
• Consecutive topological phase transitions and colossal magnetoresistance in a magnetic topological semimetal
• Does (TaSe4)2I really harbor an axionic charge density wave?
• General relativity effects in precision spin experimental tests of fundamental symmetries
• Electron-Phonon Coupling and Quantum Correction to Topological Magnetoconductivity in Bi2GeTe4
• Axion/Hidden-Photon Dark Matter Conversion into Condensed Matter Axion
• Half-Quantized Helical Hinge Currents in Axion Insulators
• Electrically Controlled Anomalous Hall Effect and Orbital Magnetization in Topological Magnet MnBi2Te4
• Intrinsic magnetic topological insulators of the MnBi${}_2$Te${}_4$ family
• Giant nonlocal edge conduction in the axion insulator state of MnBi2Te4
• Altermagnetism-Induced Parity Anomaly in Weak Topological Insulators
• On the topological surface states of the intrinsic magnetic topological insulator Mn-Bi-Te family
• Ubiquitous order-disorder transition in the Mn antisite sublattice of the (MnBi${}_2$Te${}_4$)(Bi${}_2$Te${}_3$)${}_n$ magnetic topological insulators
• Intrinsic and tunable quantum anomalous Hall effect and magnetic topological phases in XYBi2Te5
• Observation of magnetism induced topological edge state in antiferromagnetic topological insulator MnBi4Te7
• Partitioning Dense Graphs with Hardware Accelerators
• Effective electromagnetic actions for Lorentz violating theories exhibiting the axial anomaly
• Identifying Axion Insulator by Quantized Magnetoelectric Effect in Antiferromagnetic ${\mathrm{MnBi}}_2{\mathrm{Te}}_4$ Tunnel Junction
• Cold plasma waves in the chiral Maxwell-Carroll-Field-Jackiw electrodynamics
• Nonlinear level attraction of cavity axion polariton in antiferromagnetic topological insulator
• High spin axion insulator
• Axionic surface wave in dynamical axion insulators
• Symmetric and antisymmetric constitutive tensors for bi-isotropic and bi-anisotropic media
• Antiferromagnetic topological insulator with selectively gapped Dirac cones
• Three-Dirac-fermion approach to unexpected universal gapless surface states of van der Waals magnetic topological insulators
• Lorentz invariance violation and the CPT-odd electromagnetic response of a tilted anisotropic Weyl semimetal
• Stacking-dependent Electronic and Topological Properties in van der Waals Antiferromagnet MnBi${}_2$Te${}_4$ Films
• Quarter-quantized thermal Hall effect with parity anomaly
• Topological Magnetoelectric Response in Ferromagnetic Axion Insulators
• Axion gravitodynamics, Lense-Thirring effect, and gravitational waves
• Magnetoelectricity in two-dimensional materials
• Spin-Electric Coupling in Lead Halide Perovskites
• Zero Casimir Force in Axion Electrodynamics and the Search for a New Force
• Finite-Momentum Instability of Dynamical Axion Insulator
• Axions and Superfluidity in Weyl Semimetals
• Hybrid-order topology in unconventional magnets of Eu-based Zintl compounds with surface-dependent quantum geometry
• Kondo effect with Wilson fermions
• Electromagnetic Radiation in chiral matter: the Cherenkov case
• Emergence of inductance and capacitance from topological electromagnetism
• Engineering axion insulator phase in superlattices with inversion symmetry breaking
• Optical properties and energy propagation in a dielectric medium supporting magnetic current
• Axion insulators protected by C2T and their K-theory invariants and material realization
• Magnetization-Induced Phase Transitions on the surface of 3D Topological Insulators
• Berry-dipole Semimetals
• Pseudo-gauge Fields in Dirac and Weyl Materials
• Dynamical Axions in $U(1)$ Quantum Spin Liquids
• Effects of Boundary on Orbital Magnetization for a Bilayer System with Different Chern Numbers
• Electrical control of intrinsic nonlinear Hall effect in antiferromagnetic topological insulator sandwiches
• Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
• Anisotropic cold plasma modes in chiral vector Maxwell-Carroll-Field-Jackiw electrodynamics
• Topological electronic bands in crystalline solids
• Quantum interference in a superconductor-${\mathrm{MnBi}}_2{\mathrm{Te}}_4$-superconductor Josephson junction
• Rotatory power reversal induced by magnetic-current in bi-isotropic media
• Axion mass in antiferromagnetic insulators
• Orbital Gravito-Magnetoelectric response and Orbital magnetic quadrupole moment correction
• Dissipative Edge Transport in Disordered Axion Insulator Films
• Capacitive scheme to detect the topological magnetoelectric effect
• Probing the interference between non-linear, axionic and space-time-anisotropy effects in the QED vacuum
• Conserved laws and dynamical structure of axions coupled to photons
• Phononic dynamical axion in magnetic Dirac insulators
• Axion insulator, Weyl points, quantum anomalous Hall effect and magnetic topological phase transition in Eu3In2As4
• Multiphoton Spectroscopy of a Dynamical Axion Insulator
• Gate-tunable magnetoresistance in six-septuple-layer MnBi${}_2$Te${}_4$
• Quantum decoherence by magnetic fluctuations in a magnetic topological insulator
• Optical reflection signature of an axion dielectric with magnetic current
• Disorder and diffuse scattering in single-chirality (TaSe${}_4$)${}_2$I crystals
• Magnetoelectric-field electrodynamics: Search for magnetoelectric point scatterers
• Nonreciprocal Weyl semimetal waveguide
• Microwave-to-Optical Quantum Transduction Utilizing the Topological Faraday Effect of Topological Insulator Heterostructures
• Constraining CPT-odd electromagnetic chiral parameters with pulsar timing
• Mirror Chern numbers in the hybrid Wannier representation
• Quantum Anomalous Hall Effect in Three-dimensional Topological Insulator/Thin-film Ferromagnetic Metal Bilayer Structure
• Chiral fermions on lattice axion strings
• Double rotatory power reversal, continuous Kerr angle, and enhanced reflectance in bi-isotropic media with anomalous Hall current
• Intrinsic (Axion) Statistical Topological Insulator
• Collective excitations in magnetic topological insulators and axion dark matter search
• Synthetic and cosmological axion hybridization: entangled photons, (HBT) and quantum beats
• Analytical model of a Tellegen meta-atom
• Hypothesis of a bi-isotropic-like plasma permeating the interstellar space
• Detecting axion dynamics on the surface of magnetic topological insulators
• Universal Role of Combined Symmetry for the Protection of the Dirac Cone in Antiferromagnetic Topological Insulators
• Ferroelectric switching of quantum anomalous Hall effects in MnBi2Te4 films
• Axionic Acoustic Phonons from Weyl Semimetals
• Dyadic Greens function for a topological insulator stratified sphere
• Dynamics of axion-neutral pseudoscalar mixing
• Effective field theory of particle mixing
• Covariant field theory of 3D massive fractons
• Hopf Semimetals
• Unveiling three types of fermions in a nodal ring topological semimetal through magneto-optical transitions
• Non-divergent Chiral Charge Pumping in Weyl Semimetal
• Localized surface plasmons in a Weyl semimetal nanosphere
• Synthetic magnetoelectric response of lattice bosonic insulators
• Giant Spin Transport Anisotropy in Magnetic Topological Insulators
• Localized interfacial Phonon Modes at the Electronic Axion Domain Wall
• Fate of surface gaps in magnetic topological insulators
• Topological magnetoelectric response in passive magnetic devices
• Optical effects in unmagnetized cold plasmas by a chiral axion factor
• Dirac bilinears in condensed matter physics: Relativistic correction for observables and conjugate electromagnetic fields
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries
• Probing emergent axion electrodynamics with waveguide apparatus
• Probing dynamical axion quasiparticles with two-photon correlations
• Magneto-conductivity and CME in Dirac semimetals from Keldysh technique in Landau levels basis
• How physics got its right hand: The origins of chiral conventions in electromagnetism
• Axions at the meV Crossroads: Theory, Cosmology, Astrophysics, and Experiments
• Extending the Euler-Heisenberg action to include effects of local Lorentz-symmetry violating backgrounds
• Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems
• Maximal Axion Optical Chirality Enabled by Degenerate Quasibound States in the Continuum
• Angular-momentum-selective nanofocusing with Weyl semimetals
• Exploring Spectral Singularities in Dirac Semimetals: The Role of Non-Hermitian Physics and Dichroism
• Emerging axion detection in artificial magnetoelectric materials
• Orbital Longitudinal Magneto-electric Coupling in Multilayer Graphene
• Field mixing in a thermal medium: A quantum master equation approach
• Nonlocal transport phenomena in Weyl metals beyond the mesoscopic scale
• Fermion-Vortex Interactions in Axion Electrodynamics
• Generalized method of image dyons for quasi-two dimensional slabs with ordinary-topological insulator interfaces