Chiral response in lattice models of Weyl materials

Abstract

For a generic lattice Hamiltonian of the electron states in Weyl materials, we calculate analytically the chiral (or, equivalently, valley) charge and current densities in the first order in background electromagnetic and strain-induced pseudoelectromagnetic fields. We find that the chiral response induced by the pseudoelectromagnetic fields is not topologically protected. Although our calculations reproduce qualitatively the anomalous chiral Hall effect, the actual result for the conductivity depends on the definition of the chirality as well as on the parameters of the lattice model. In addition, while for the well- separated Fermi surfaces surrounding the individual Weyl nodes the current induced by the magnetic field coincides almost exactly with the current of the chiral separation effect in linearized models, there are clear deviations when the Fermi surfaces undergo the Lifshitz transition. In general, we find that all chiral response coefficients vanish at large chemical potential.

14 pages, 6 multi-panel figures; published version

References in corpus (18)

• The Chiral Magnetic Effect
• Valley filter and valley valve in graphene
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Topological response in Weyl semimetals and the chiral anomaly
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Anomalous Hall Effect in Weyl Metals
• Chiral Magnetic Wave
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Negative longitudinal magnetoresistance in Dirac and Weyl metals
• Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
• Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
• Strain induced Chiral Magnetic Effect in Weyl semimetals
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• Quantum oscillations without magnetic field
• Emergent gravity and chiral anomaly in Dirac semimetals in the presence of dislocations
• Chiral magnetic plasmons in anomalous relativistic matter
• Pseudomagnetic helicons
• Origin of Bardeen-Zumino current in lattice models of Weyl semimetals

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• Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals
• Quantum Field Theory Anomalies in Condensed Matter Physics
• Helical superconducting edge modes from pseudo-Landau levels in graphene
• Symmetries of Weyl Superconductors with Different Pairings
• Electric and chiral response to a pseudoelectric field in Weyl materials