Collective excitations in Weyl semimetals in the hydrodynamic regime

Abstract

The spectrum of collective excitations in Weyl materials is studied by using consistent hydrodynamics. The corresponding framework includes the vortical and chiral anomaly effects, as well as the dependence on the separations between the Weyl nodes in energy $b_0$ and momentum $\mathbf{b}$. The latter are introduced via the Chern-Simons contributions to the electric current and charge densities in Maxwell's equations. It is found that, even in the absence of a background magnetic field, certain collective excitations (e.g. the helicon-like modes and the anomalous Hall waves) are strongly affected by the chiral shift $\mathbf{b}$. In a background magnetic field, the existence of the distinctive longitudinal and transverse anomalous Hall waves with a linear dispersion relation is predicted. They originate from the oscillations of the electric charge density and electromagnetic fields, in which different components of the fields are connected via the anomalous Hall effect in Weyl semimetals.

19 pages, 3 multi-panel figures; published version

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Cited by in corpus (17)

• Observation of 2D Weyl Fermion States in Epitaxial Bismuthene
• Hydrodynamic modes in a magnetized chiral plasma with vorticity
• Influence of interactions on the anomalous quantum Hall effect
• Hydrodynamics of Fermi arcs: Bulk flow and surface collective modes
• A Note on Bloch theorem
• Magnetotransport and internodal tunnelling in Weyl semimetals
• Chiral magnetic waves in strongly coupled Weyl semimetals
• Plasmonic quantum nonlinear Hall effect in noncentrosymmetric 2D materials
• Holographic Charged Fluid with Chiral Electric Separation Effect
• Bremsstrahlung in chiral medium: anomalous magnetic contribution to the Bethe-Heitler formula
• Weyl hydrodynamics in a strong magnetic field
• Phonon-mediated Hydrodynamic Transport in a Weyl Semimetal
• Rotating solutions of nonideal transverse Chern-Simons magnetohydrodynamics and the anomalous Hall current
• Anomalous scattering and transport in chiral matter
• Anomalous plasmon mode in strained Weyl semimetals
• Viscoelastic response and anisotropic hydrodynamics in Weyl semimetals
• Stokes flow in an electronic fluid with odd viscosity