Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals

Abstract

In Lorentz violating quantum electrodynamics (QED) it is known that a radiatively induced Chern-Simons term appears in the effective action for the gauge field, which is finite but undetermined. This ambiguity is shown to be absent in a condensed matter realization of such a theory in Weyl semi-metals due to the existence of a full microscopic model from which this effective theory emerges. Physically observable consequences such as birefringence are also discussed in this scenario.

8 pages, 1 figure, minor typos corrected, published version

References in corpus (7)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Tunable Casimir repulsion with three dimensional topological insulators
• Topological Weyl Semi-metal from a Lattice Model
• Effect of finite temperature and uniaxial anisotropy on the Casimir effect with three-dimensional topological insulators
• Lorentz-CPT violation, radiative corrections and finite temperature
• On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
• Induced Chern-Simons-like action in Lorentz-violating massless QED

Cited by in corpus (99)

• Topological response in Weyl semimetals and the chiral anomaly
• Discovery of Weyl fermion semimetals and topological Fermi arc states
• Chiral anomaly and transport in Weyl metals
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Axion Electrodynamics in Topological Materials
• Detection of sub-MeV Dark Matter with Three-Dimensional Dirac Materials
• Discovery of a new type of topological Weyl fermion semimetal state in Mo${}_x$W${}_{1-x}$Te${}_2$
• Chiral anomaly and optical absorption in Weyl semimetals
• Light control with Weyl semimetals
• Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
• Plasmon mode as a detection of the chiral anomaly in Weyl semimetals
• Time-reversal invariant topological superconductivity in doped Weyl semimetals
• Strain induced Chiral Magnetic Effect in Weyl semimetals
• Anomalous Nernst and Thermal Hall Effects in Tilted Weyl Semimetals
• Chiral magnetic effect in two-band lattice model of Weyl semimetal
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• Thermal transport, geometry, and anomalies
• Quantum Kinetic Theory of the Chiral Anomaly
• Magnetic textures and dynamics in magnetic Weyl semimetals
• Weyl fermions with arbitrary monopole in magnetic fields: Landau levels, longitudinal magnetotransport, and density-wave ordering
• Atomic-scale visualization of quasiparticle interference on a type-II Weyl semimetal surface
• Lorentz violation in Dirac and Weyl semimetals
• Spin and spin current -- From fundamentals to recent progress
• Repulsive Casimir force between Weyl semimetals
• A relativistic quantum oscillator subject to a Coulomb-type potential induced by effects of the violation of the Lorentz symmetry
• On a relativistic scalar particle subject to a Coulomb-type potential given by Lorentz symmetry breaking effects
• Density response in Weyl metals
• Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
• Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals
• Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
• Dynamical piezoelectric and magnetopiezoelectric effects in polar metals from Berry phases and orbital moments
• Magneto-optical conductivity in generic Weyl semimetals
• Chiral magnetic plasmons in anomalous relativistic matter
• Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter
• The Casimir effect in topological matter
• Four-dimensional semimetals with tensor monopoles: From surface states to topological responses
• Emergent axion response in multilayered metamaterials
• Pseudomagnetic helicons
• Josephson junctions of Weyl and multi-Weyl semimetals
• Coexistence of Fermi arcs with two dimensional gapless Dirac states
• Origin of Bardeen-Zumino current in lattice models of Weyl semimetals
• Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model
• Projected Topological Branes
• Longitudinal magnetoconductance and the planar Hall conductance in inhomogeneous Weyl semimetals
• The Casimir effect in chiral media using path integral techniques
• Helical magnetic effect and the chiral anomaly
• Hydrodynamics of Fermi arcs: Bulk flow and surface collective modes
• A Weyl-${\mathrm{Z}}_2$ semimetal from holography
• Unified Topological Response Theory for Gapped and Gapless Free Fermions
• Anomalous Hall viscosity at the Weyl semimetal/insulator transition
• Effective electromagnetic actions for Lorentz violating theories exhibiting the axial anomaly
• Electric manipulation of domain walls in magnetic Weyl semimetals via the axial anomaly
• Surface plasmon polaritons in strained Weyl semimetals
• Partitioning Dense Graphs with Hardware Accelerators
• Chiral response in lattice models of Weyl materials
• Quantum oscillations as a probe of interaction effects in Weyl semimetals in a magnetic field
• Finite frequency magnetoelectric response of three dimensional Topological Insulators
• Lorentz invariance violation and the CPT-odd electromagnetic response of a tilted anisotropic Weyl semimetal
• Dynamical signatures of point-gap Weyl semimetal
• Topological Electromagnetic Effects and Higher Second Chern Numbers in Four-Dimensional Gapped Phases
• Nonanalyticity of the induced Carroll-Field-Jackiw term at finite temperature
• Interplay between chiral media and perfect electromagnetic conductor plates: repulsive vs. attractive Casimir force transitions
• Nonminimal planar electrodynamics modified by higher-derivative terms
• Lorentz violating scalar Casimir effect for a $D$-dimensional sphere
• Intrinsic torques emerging from anomalous velocity in magnetic textures
• Chiral Meissner effect in time-reversal invariant Weyl superconductors
• Collisional energy loss and the Chiral Magnetic Effect
• Casimir effect in axion electrodynamics with lattice regularizations
• Finite-size topological phases from semimetals
• Dynamical chiral magnetic current and instability in Weyl semimetals
• Physical interpretation of large Lorentz violation via Weyl semimetals
• Type-II Topological Dirac Semimetals: Theory and Materials Prediction (VAl3 family)
• Fractionalized Metals and Superconductors in Three Dimensions
• Nonperturbative Lorentz Violation and Field Quantization
• Fermionic dualities with axial gauge fields
• On the duality in CPT-even Lorentz-breaking theories
• Holographic $a$-functions and Boomerang RG Flows
• Dynamical edge modes in Maxwell theory from a BRST perspective, with an application to the Casimir energy
• Nonreciprocal Weyl semimetal waveguide
• Topological phase transitions of semimetal states in effective field theory models
• Topological magnetoelectric pump in three dimensions
• First order phase transitions within Weyl type of materials at low temperatures
• Coexistence of topological semimetal states in holography
• Dyson-Schwinger equation approach to Lorentz Symmetry Breaking with finite temperature and chemical potential
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes
• The full Lorentz-violating vacuum polarization tensor: low and high energy limits
• Dynamical Effects from Anomaly: Modified Electrodynamics in Weyl Semimetal
• Axion electrodynamics of Weyl superconductors with broken time-reversal symmetry
• Effective electromagnetic Lagrangians in the derivative expansion method
• SUSY QED with Lorentz-asymmetric fermionic matter and a glance at the electron's EDM
• Anisotropic marginal Fermi liquid for Coulomb interacting generalized Weyl fermions
• Correlated helimagnetic configuration in a nonsymmorphic magnetic nodal semimetal
• A Lorentz-violating low-energy model for the bilayer Graphene
• Topological invariant for holographic Weyl-${\mathrm{Z}}_2$ semimetal
• The Axial Anomaly in Lorentz Violating Theories: Towards the Electromagnetic Response of Weakly Tilted Weyl Semimetals
• Three-dimensional quantum Hall states as a chiral electromagnetic filter
• Holographic Topological Semimetals
• Localized structures in two-field systems: exact solutions in the presence of Lorentz symmetry breaking and explicit connection with geometric constraints