Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons

Abstract

We argue that the correct definition of the electric current in the chiral kinetic theory for Weyl materials should include the Chern-Simons contribution that makes the theory consistent with the local conservation of the electric charge in electromagnetic and strain-induced pseudoelectromagnetic fields. By making use of such a kinetic theory, we study the plasma frequencies of collective modes in Weyl materials in constant magnetic and pseudomagnetic fields, taking into account the effects of dynamical electromagnetism. We show that the collective modes are chiral plasmons. While the plasma frequency of the longitudinal collective mode coincides with the Langmuir one, this mode is unusual because it is characterized not only by oscillations of the electric current density, but also by oscillations of the chiral current density. The latter are triggered by a dynamical version of the chiral electric separation effect. We also find that the plasma frequencies of the transverse modes split up in a magnetic field. This finding suggests an efficient means of extracting the chiral shift parameter from the measurement of the plasma frequencies in Weyl materials.

6 pages, 2 figures; published version

References in corpus (8)

• The Chiral Magnetic Effect
• Chiral Magnetic Wave
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-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
• Quantum oscillations without magnetic field
• Chiral electric separation effect in the quark-gluon plasma
• Emergent gravity and chiral anomaly in Dirac semimetals in the presence of dislocations

Cited by in corpus (13)

• Chiral magnetic effect reveals the topology of gauge fields in heavy-ion collisions
• Mass Correction to Chiral Kinetic Equations
• Hear the Sound of Weyl Fermions
• Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
• Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals
• Origin of Bardeen-Zumino current in lattice models of Weyl semimetals
• Hydrodynamics of Fermi arcs: Bulk flow and surface collective modes
• Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field
• Chiral response in lattice models of Weyl materials
• Chiral anomaly in non-relativistic systems: Berry curvature and chiral kinetic theory
• Plasmonic quantum nonlinear Hall effect in noncentrosymmetric 2D materials
• Weyl fermions in cylindrical wires
• Equivalence between vortices, twists and chiral gauge fields in Kitaev's honeycomb lattice model