Topological response in Weyl semimetals and the chiral anomaly

Abstract

We demonstrate that topological transport phenomena, characteristic of Weyl semimetals, namely the semi-quantized anomalous Hall effect and the chiral magnetic effect (equilibrium magnetic-field-driven current), may be thought of as two distinct manifestations of the same underlying phenomenon, the chiral anomaly. We show that the topological response in Weyl semimetals is fully described by a $\theta$-term in the action for the electromagnetic field, where $\theta$ is not a constant parameter, like e.g. in topological insulators, but is a field, which has a linear dependence on the space-time coordinates. We also show that the $\theta$-term and the corresponding topological response survive for sufficiently weak translational symmetry breaking perturbations, which open a gap in the spectrum of the Weyl semimetal, eliminating the Weyl nodes.

arXiv comment9 pages, 1 figure, published version

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• Intrinsic surface superconducting instability in Type-I Weyl Semimetals
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• On the magnetic structures of 1:1:1 stoichiometric topological phases LnSbTe (Ln = Pr, Nd, Dy and Er)
• Prediction of Spin Polarized Fermi Arcs in Quasiparticle Interference of CeBi
• Magnetic-Field Induced Semimetal in Topological Crystalline Insulator Thin Films
• Dynamical signatures of point-gap Weyl semimetal
• Quantum oscillations in Weyl semimetals - a surface theory approach
• Chiral magnetic effect without chirality source in asymmetric Weyl semimetals
• Effect of interactions on the topological expression for the chiral separation effect
• Searching for two-dimensional Weyl superconductors in heterostructures
• Axion electrodynamics: Green's functions, zero-point energy and optical activity
• Berry curvature induced anisotropic magnetotransport in a quadratic triple-component fermionic system
• Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral $p+ip$ Weyl condensates
• The black hole interior and the type II Weyl fermions
• Dynamical density and spin response of Fermi arcs and their consequences for Weyl semimetals
• A Scaling Behavior of Bloch Oscillation in Weyl Semimetals
• Magnetogenesis from a rotating scalar: à la scalar chiral magnetic effect
• Influence of a chiral chemical potential on Weyl hybrid junctions
• Chiral magnetic effect in lattice models of tilted multi-Weyl semimetals
• Anomaly-induced transport phenomena from the imaginary-time formalism
• Transport across junctions of pseudospin-one fermions
• Doubling Theorem and Boundary States of Five-Dimensional Weyl Semimetal
• Chiral gravitational effect in time-dependent backgrounds
• Finite-Momentum Instability of Dynamical Axion Insulator
• Topological Electromagnetic Effects and Higher Second Chern Numbers in Four-Dimensional Gapped Phases
• Thermoelectric response of nodal-line semimetals: probe of the Fermi surface topology
• Chiral Waves on the Fermi-Dirac Sea: Quantum Superfluidity and the Axial Anomaly
• Axions and Superfluidity in Weyl Semimetals
• Optical Signatures of the Chiral Anomaly in Mirror-Symmetric Weyl Semimetals
• Intrinsic gyrotropic magnetic current from Zeeman quantum geometry
• Hall effect in the presence of rotation
• Chiral pair of Fermi arcs, anomaly cancelation, and spin or valley Hall effects in inversion symmetry-broken Weyl metals
• Topological Phases in a Weyl Semimetal Multilayer
• Axial anomaly in nonlinear conformal electrodynamics
• Quantized electrochemical transport in Weyl semimetals
• On the renormalization of Coulomb interactions in two-dimensional tilted Dirac fermions
• Supercurrent-induced Skyrmion dynamics and Tunable Weyl points in Chiral Magnet with Superconductivity
• Influence of complex disorder on skew-scattering Hall effects in $L{1}_0$-ordered FePt alloy
• Weyl Semimetal from the Honeycomb Array of Topological Insulator Nanowires
• Characteristics of Chiral Anomaly in View of Various Applications
• Persistent current due to a screw dislocation in Weyl semimetals: Role of one-dimensional chiral states
• Symmetry-enforced nodal lines in the band structures of vacancy-engineered graphene
• Schwinger pair creation in Dirac semimetals in the presence of external magnetic and electric fields
• Resonant Plasmon-Axion Excitations Induced by Charge Density Wave Order in Weyl Semimetal
• Dipolar Weyl semimetals
• Electromagnetic Radiation in chiral matter: the Cherenkov case
• Non-local signatures of the chiral magnetic effect in Dirac semimetal Bi${}_{0.97}$Sb${}_{0.03}$
• Pseudo field effects in type II Weyl semimetals: new probes for over tilted cones
• Localization effects on magnetotransport of a disordered Weyl semimetal
• Equilibrium Chiral Magnetic Effect: spatial inhomogeneity, finite temperature, interactions
• Electron-phonon superconductivity in C-doped topological nodal-line semimetal Zr${}_5$Pt${}_3$: A muon spin rotation and relaxation ($\mu$SR) study
• Dynamical density response and optical conductivity in topological metals
• Surface plasmonics of Weyl semimetals
• Quantum Oscillations and Magnetoresistance in Type-II Weyl Semimetals - Effect of a Field Induced Charge Density Wave
• Generating surface states in a Weyl semi-metal by applying electromagnetic radiation
• Chiral and Non-Chiral Edge States in Quantum Hall Systems with Charge Density Modulation
• Regularization of a massless Dirac model to describe anomalous electromagnetic response of Weyl semimetals
• Anomalous Thermal Hall Effect in a Disordered Weyl Ferromagnet
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids
• Collisional energy loss and the Chiral Magnetic Effect
• Chiral Meissner effect in time-reversal invariant Weyl superconductors
• Field theory approach to the quantum transport in Weyl semimetals
• Gate-tunable Lifshitz transition of Fermi arcs and its nonlocal transport signatures
• Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
• Topological order in interacting semimetals
• Anomalous Hall effect in dense QCD matter
• $\mathcal{P}\mathcal{T}$ symmetry-protected exceptional cones and analogue Hawking radiation
• Surface band characters of Weyl semimetal candidate material MoTe${}_2$ revealed by one-step ARPES theory
• Decorated defect condensate, a window to unconventional quantum phase transitions in Weyl semimetals
• Topology of Generalized Spinors and Chiral Anomaly
• Quantization of magnetoelectric fields
• Pairwise annihilation of Weyl nodes induced by magnetic fields in the Hofstadter regime
• In-plane magnetoelectric response in bilayer graphene
• Casimir effect in axion electrodynamics with lattice regularizations
• Semiclassical Boltzmann magnetotransport theory in anisotropic systems with a nonvanishing Berry curvature
• Surface Luttinger arcs in Weyl semimetals
• Disorder-induced phase transitions in double Weyl semimetals
• Inducing a metal-insulator transition in disordered interacting Dirac fermion systems via an external magnetic field
• Dynamical chiral magnetic current and instability in Weyl semimetals
• Bulk Pumping in 2D Topological Phases
• Finite-size topological phases from semimetals
• Generalized Heisenberg-Euler formula in Abelian gauge theory with parity violation
• Multi higher-order Dirac and nodal line semimetals
• Two-parameter scaling theory of the longitudinal magnetoconductivity in a Weyl metal phase: Chiral anomaly, weak disorder, and finite temperature
• Mirror anomaly and anomalous Hall effect in type-I Dirac semimetals
• Berry-dipole Semimetals
• Surface plasmon polaritons in a waveguide composed of Weyl semimetals with different symmetries
• An ab-initio study of topological and transport properties of YAuPb
• Crystalline-electromagnetic responses of higher order topological semimetals
• Momentum Space Topology and Non-Dissipative Currents
• Emulating topological currents arising from a dipolar parity anomaly in two-dimensional optical lattices
• Magnetovortical and thermoelectric transport in tilted Weyl metals
• Thermoelectric properties of inversion symmetry broken Weyl semimetal-Weyl superconductor hybrid junctions
• Floquet-Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice
• Heat Kernel, Spectral Functions and Anomalies in Weyl Semimetals
• Large anomalous magnetic moment in three-dimensional Dirac and Weyl semimetals
• Transmission/reflection coefficients and Faraday/Kerr rotations as a function of applied magnetic fields in spin-orbit coupled Dirac metals
• 3D Topological Plasmons in Weyl Semimetals
• Absence of quantization in the circular photogalvanic effect in disordered chiral Weyl semimetals
• Topological Insulators with Hybrid-order Boundary States
• Renormalization Group Approach to Stability of Two-dimensional Interacting Type-II Dirac Fermions
• Chiral filtration of light by Weyl-semimetal medium
• Positive longitudinal spin magnetoconductivity in ${\mathbb{Z}}_2$ topological Dirac semimetals
• Theory of anomalous Hall effect in transition-metal pentatelluride ${\mathrm{ZrTe}}_5$ and ${\mathrm{HfTe}}_5$
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• The type II Weyl semimetals at low temperatures: chiral anomaly, elastic deformations, zero sound
• Simulating Higher-Order Topological Insulators in Density Wave Insulators
• Topological Inverse Faraday Effect in Weyl Semimetals
• Effective lagrangian for the macroscopic motion of fermionic matter
• High-field magnetoconductivity of topological semimetals with short-range potential
• Bremsstrahlung in chiral medium: anomalous magnetic contribution to the Bethe-Heitler formula
• Gauge theory of giant phonon magnetic moment in doped Dirac semimetals
• Non-Abelian bosonization in a (3+1)-d Kondo semimetal via quantum anomalies
• Fermionic dualities with axial gauge fields
• Dynamical magnetoelectric coupling in axion insulator thin films
• Enriched axial anomaly in Weyl materials
• Anomalous Hall effects beyond Berry magnetic fields in a Weyl metal phase
• On the path integral approach to quantum anomalies in interacting models
• Merging of momentum-space monopoles by controlling magnetic field: From cubic-Dirac to triple-Weyl fermion systems
• Tunneling chirality Hall effect in type-I Weyl semimetals
• Optical helicity and Hertz vectors
• Topological Non-Fermi Liquid
• Anomalous spin Nernst effect in Weyl semimetals
• From Nodal Ring Topological Superfluids to Spiral Majorana Modes in Cold Atomic Systems
• Anomalous Surface Conductivity of Weyl Semimetals
• Spectrum collapse of disordered Dirac Landau levels as topological non-Hermitian physics
• Quantum oscillations of the nonlinear planar effects signifying chiral anomaly in Weyl Semimetals
• Spin density wave order in interacting type-I and type-II Weyl semimetals
• Gravitating anisotropic merons and squashed spheres in the three-dimensional Einstein-Yang-Mills-Chern-Simons theory
• Dzyaloshinskii-Moriya interaction in strongly spin-orbit-coupled systems: General formula and application to topological and Rashba materials
• Multiphoton Spectroscopy of a Dynamical Axion Insulator
• Chiral anomaly-induced nonlinear Hall effect in spin-orbit coupled noncentrosymmetric metals
• Regularized framework of a Weyl equation for describing a Weyl semimetal: Application to the case with a screw dislocation
• The Weyl-Mott point: topological and non-Fermi liquid behavior from an isolated Green's function zero
• Highly anisotropic Drude-weight-reduction and enhanced linear-dichroism in van der Waals Weyl semimetal Td-MoTe2 with coherent interlayer electronic transport
• Nonreciprocal Weyl semimetal waveguide
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Chiral anomaly in Weyl systems: no violation of classical conservation laws
• Berry's phase and chiral anomalies
• Anomalous transport phenomena and momentum space topology
• Quantum anomaly and anomalous Josephson effect in inversion asymmetric Weyl semimetals
• Massive photon propagator in the presence of axionic fluctuations
• Anomalous plasmon mode in strained Weyl semimetals
• Topological magnetoelectric pump in three dimensions
• Topological Signatures in Nodal Semimetals through Neutron Scattering
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- part II: Higher-dimensional spectral invariants
• Unveiling the Chiral States in Multi-Weyl Semimetals through Magneto-Optical Spectroscopy
• Effective Hamiltonian approach to optical activity in Weyl spin-orbit system
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• High-pressure control of optical nonlinearity in the polar Weyl semimetal TaAs
• Conductance oscillation in surface junctions of Weyl semimetals
• Topological semimetal with coexisting nodal points and nodal lines
• Representation Theory for Massless Quasiparticles in Bogoliubov-de Gennes Systems
• Shot noise in Weyl semimetals
• Understanding anomalous particle production in massless QED via time-varying $\theta$ angle
• Electron-hole pairing of Fermi-arc surface states in a Weyl-semimetal bilayer
• Weyl systems: anomalous transport normally explained
• Hall conductivity as the topological invariant in magnetic Brillouin zone in the presence of interactions
• Non-Hermitian chiral anomalies in interacting systems
• General response theory of topologically stable Fermi points and its implications for disordered cases
• Chiral Magnetic Effect due to Inhomogeneous Magnetic Fields in Noncentrosymmetric Weyl Semimetals
• Noncentrosymmetric two-dimensional Weyl semimetals in porous Si/Ge structures
• Less is more: Vacancy-engineered nodal-line semimetals
• Robust quantisation of circular photogalvanic effect in multiplicative topological semimetals
• Chiral anomaly in Weyl semimetals from spin current injection
• Emergent Weyl Fermions in an Orbital Multipolar Ordering Phase
• Experimental study of transport properties of Weyl semimetal LaAlGe thin films grown by molecular beam epitaxy
• Symmetries of Weyl Superconductors with Different Pairings
• Competition-Induced Sign Reversal of Casimir-Lifshitz Torque: An Investigation on Topological Node-Line Semimetal
• Ground state and polarization of an hydrogen-like atom near a Weyl semimetal
• Axion electrodynamics of Weyl superconductors with broken time-reversal symmetry
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Regularized continuum model of a Weyl semimetal for describing anomalous electromagnetic response
• Localized surface plasmons in a Weyl semimetal nanosphere
• Robust Weyl points in a 1D superlattice with transverse spin-orbit coupling
• Chiral magnetic effect in the hadronic phase
• Effective Tight-Binding Model of Compensated Ferrimagnetic Weyl Semimetal with Spontaneous Orbital Magnetization
• Comparative ${}^{181}$Ta-NQR Study of Weyl Monopnictides TaAs and TaP: Relevance of Weyl Fermion Excitations
• Scaling of the chiral magnetic effect in quantum diffusive Weyl semimetals
• Quantum magnetic oscillations in Weyl semimetals with tilted nodes
• Dynamical Effects from Anomaly: Modified Electrodynamics in Weyl Semimetal
• Geometric transport signatures of strained multi-Weyl semimetals
• Observation of nearly identical superconducting transition temperatures in pressurized Weyl semimetal MIrTe4 (M=Nb and Ta)
• Effective electromagnetic Lagrangians in the derivative expansion method
• Vortical effects in chiral band structures
• Fermi arc criterion for surface Majorana modes in superconducting time-reversal symmetric Weyl semimetals
• Correlated helimagnetic configuration in a nonsymmorphic magnetic nodal semimetal
• Gyrotropic magnetic effect in metallic chiral magnets
• No Net Charge Separation in Hot QCD in a Magnetic Field
• Fermi Arcs in Tilted Weyl Semimetals: Classification, Evolution and Transport Properties
• Magneto tunnel conductance across twisted Weyl semimetal junctions
• Collective dynamics of Fermi-surface fluctuations in an interacting Weyl metal phase
• Anisotropic marginal Fermi liquid for Coulomb interacting generalized Weyl fermions
• Longitudinal magnetoconductivity and magnetodielectric effect in bilayer graphene
• Proposal for realizing unpaired Weyl points in a three-dimensional periodically driven optical Raman lattice
• Crystalline Weyl semimetal phase in Quantum Spin Hall systems under magnetic fields
• Universal anyons at the irradiated surface of topological insulator
• Chiral kinematic theory and converse vortical effects
• Holographic Topological Semimetals
• Two body interactions induces the axion-phason field in Weyl semimetals
• Non-quadratic transverse magnetoresistance of the nodal line Dirac semimetal InBi
• The Axial Anomaly in Lorentz Violating Theories: Towards the Electromagnetic Response of Weakly Tilted Weyl Semimetals
• Elemental topological Dirac semimetal α-Sn with high quantum mobility
• Large enhancement of Edelstein effect in Weyl semimetals from Fermi-arc surface states
• Classical limit for Dirac fermions with modified action in the presence of the black hole
• Topological Numbers and the Weyl Semimetal
• Three-dimensional quantum Hall states as a chiral electromagnetic filter
• Advances in Synthetic Gauge Fields for Light Through Dynamic Modulation
• Anomalous Chiral Anomaly in Spin-1 Fermionic Systems
• Manifestation of chiral magnetic current in Floquet-Weyl semimetals
• Microscopic theory of electrically induced spin torques in magnetic Weyl semimetals
• Flat Topological Nodal Lines in Heavy-Fermion Compound CeCoGe${}_3$
• Interplay of the orbital magnetic moment and the chiral magnetic effect in Shubnikov-de Haas quantum oscillations
• Nonlocal transport phenomena in Weyl metals beyond the mesoscopic scale
• Breakdown of chiral anomaly and emergent phases in Weyl semimetals under orbital magnetic fields
• Magnetotransport in Topological Materials and Nonlinear Hall Effect via First-Principles Electronic Interactions and Band Topology
• Continuum Landau surface states in a non-Hermitian Weyl semimetal
• Ferroelectrically Controlled Chirality Switching of Weyl Quasiparticles
• Non-adiabatic corrections to chiral charge pumping in topological nodal semimetals
• Singular flat bands in three dimensions: Landau level spreading, quantum geometry, and Weyl reconstruction
• Angular-momentum-selective nanofocusing with Weyl semimetals
• Collective Modes in Weyl Superconductors and the Axial Anomaly