Electromagnetic Response of Weyl Semimetals

Abstract

It has been suggested recently, based on subtle field-theoretical considerations, that the electromagnetic response of Weyl semimetals and the closely related Weyl insulators can be characterized by an axion term E.B with space and time dependent axion angle. Here we construct a minimal lattice model of the Weyl medium and study its electromagnetic response by a combination of analytical and numerical techniques. We confirm the existence of the anomalous Hall effect expected on the basis of the field theory treatment. We find, contrary to the latter, that chiral magnetic effect (that is, ground-state charge current induced by the applied magnetic field) is absent in both the semimetal and the insulator phase. We elucidate the reasons for this discrepancy.

4 pages + 4 figures. v2: version to appear in PRL (argument for vanishing equilibrium current elaborated, references updated)

References in corpus (8)

• The Chiral Magnetic Effect
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topological response in Weyl semimetals and the chiral anomaly
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Chiral gauge field and axial anomaly in a Weyl semi-metal
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Topological-Metal to Band-Insulator Transition in (Bi1-xInx)2Se3 Thin Films
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• Quantum Kinetic Theory of Thermoelectric and Thermal Transport in a Magnetic Field
• Chiral Hall effect in strained Weyl semimetals
• Chiral sound waves in strained Weyl semimetals
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• Surface States and Arcless Angles in Twisted Weyl Semimetals
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• Quantum Oscillations in the Chiral Magnetic Conductivity
• Floquet and Anomalous Floquet Weyl Semimetals
• Spin Hall conductivity in topological Dirac semimetals
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• High-harmonic generation in semi-Dirac and Weyl semimetals with broken time-reversal symmetry: Exploring merging of Weyl nodes
• Intrinsic surface superconducting instability in Type-I Weyl Semimetals
• Nonlinear magnetotransport in Weyl semimetal
• Exploring self-consistency of the equations of axion electrodynamics in Weyl semimetals
• Optical rotation in thin chiral/twisted materials and the gyrotropic magnetic effect
• Topological piezoelectric effect and parity anomaly in nodal line semimetals
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• Chiral response in lattice models of Weyl materials
• Analogies between the Black Hole Interior and the Type II Weyl Semimetals
• Embedded Topological Semimetals
• Theory of electromagnetic wave propagation in ferromagnetic Rashba conductor
• Chiral magnetic effect of hot electrons
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• Pushing the limit of quantum transport simulations
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• Equilibrium current in a Weyl-semimetal - superconductor heterostructure
• Hall effect in the presence of rotation
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• Polarization jumps by breaking symmetries of two-dimensional Weyl semimetals
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• Persistent current due to a screw dislocation in Weyl semimetals: Role of one-dimensional chiral states
• Emergent Chern-Simons Interactions in 3+1 Dimensions
• Regularization of a massless Dirac model to describe anomalous electromagnetic response of Weyl semimetals
• Spin-orbital magnetic response of relativistic fermions with band hybridization
• Anomalous transport model with axial magnetic fields
• $\mathcal{P}\mathcal{T}$ symmetry-protected exceptional cones and analogue Hawking radiation
• Chiral Meissner effect in time-reversal invariant Weyl superconductors
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids
• Detection of quantum geometric tensor by nonlinear optical response
• Berry-dipole Semimetals
• RKKY coupling in Weyl semimetal thin films
• New polarization rotation and exact TEM wave solutions in topological insulators
• Surface Luttinger arcs in Weyl semimetals
• Multi higher-order Dirac and nodal line semimetals
• In-plane magnetoelectric response in bilayer graphene
• Surface plasmon polaritons in a waveguide composed of Weyl semimetals with different symmetries
• Generation of Spin Currents by Magnetic Field in $\mathcal{T}$- and $\mathcal{P}$-Broken Materials
• Momentum Space Topology and Non-Dissipative Currents
• Dynamical chiral magnetic current and instability in Weyl semimetals
• Large anomalous magnetic moment in three-dimensional Dirac and Weyl semimetals
• Thermoelectric properties of inversion symmetry broken Weyl semimetal-Weyl superconductor hybrid junctions
• Out of equilibrium Chiral Vortical Effect in Holography
• Long-lived qubit entanglement by surface plasmon polaritons in a Weyl semimetal
• Hydrodynamic theory of chiral angular momentum generation in metals
• Anomalous plasma: chiral magnetic effect and all that
• Renormalization Group Approach to Stability of Two-dimensional Interacting Type-II Dirac Fermions
• The type II Weyl semimetals at low temperatures: chiral anomaly, elastic deformations, zero sound
• Dynamical magnetoelectric coupling in axion insulator thin films
• Fermionic dualities with axial gauge fields
• Spatial anisotropy of Kondo screening cloud in a type-II Weyl semimetal
• Tunneling in an anisotropic cubic Dirac semi-metal
• Current-induced torques in magnetic Weyl semimetal tunnel junctions
• Anomalous Surface Conductivity of Weyl Semimetals
• Emergence of exceptional points and their spectroscopic signature in Dirac semimetal-dirty Superconductor heterojunction
• Chiral Magnetic Effect in finite-size samples of parity-breaking Weyl semimetals
• Chiral anomaly without Landau levels: From the quantum to the classical regime
• Nodal surface and persistent spin texture in a Weyl semimetal without mirror symmetry
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Anomalous transport phenomena and momentum space topology
• Topological magnetoelectric pump in three dimensions
• Anomalous plasmon mode in strained Weyl semimetals
• Common and not so common high-energy theory methods for condensed matter physics
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• Nonreciprocal Weyl semimetal waveguide
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• Chirality imbalance and chiral magnetic effect under a parallel electromagnetic field
• Tunneling phase diagrams in anisotropic Multi-Weyl semimetals
• Tunable two-dimensional Dirac-Weyl semimetal phase induced by altermagnetism
• General response theory of topologically stable Fermi points and its implications for disordered cases
• Signatures of non-trivial band topology in LaAs/LaBi heterostructure
• Spectroscopic Evidence on Realization of a Genuine Topological Nodal Line Semimetal in LaSbTe
• Chiral Magnetic Effect due to Inhomogeneous Magnetic Fields in Noncentrosymmetric Weyl Semimetals
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• Hall conductivity as the topological invariant in magnetic Brillouin zone in the presence of interactions
• Fabry-Perot interferometry in Weyl semi-metals
• Helical Separation Effect and helical heat transport for Dirac fermions
• Exact solution of the Schrödinger equation for an hydrogen atom at the interface between the vacuum and a topologically insulating surface
• Topological semimetal with coexisting nodal points and nodal lines
• Dipolar optical plasmon in thin-film Weyl semimetals
• Simulation of nodal-line semimetal in amplitude-shaken optical lattices
• Chiral anomaly in Weyl semimetals from spin current injection
• Ground state and polarization of an hydrogen-like atom near a Weyl semimetal
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• The magnetoelectric effect due to a semispherical capacitor surrounded by a spherical topologically insulating shell
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• Dirac bilinears in condensed matter physics: Relativistic correction for observables and conjugate electromagnetic fields
• Correlated helimagnetic configuration in a nonsymmorphic magnetic nodal semimetal
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries
• Landau levels in Weyl semimetal under uniaxial strain
• Fermion-Vortex Interactions in Axion Electrodynamics
• Classical limit for Dirac fermions with modified action in the presence of the black hole
• A lattice mean-field study of the phase diagram of interacting parity-breaking Weyl semimetals
• Angular-momentum-selective nanofocusing with Weyl semimetals
• Manifestation of chiral magnetic current in Floquet-Weyl semimetals
• Momentum non-conservation in a scalar quantum field theory with a planar $\theta$ interface
• Holographic Topological Semimetals
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• Microscopic theory of electrically induced spin torques in magnetic Weyl semimetals
• Anomalous Chiral Anomaly in Spin-1 Fermionic Systems
• Crystalline Weyl semimetal phase in Quantum Spin Hall systems under magnetic fields
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