Collective excitations in Weyl semimetals in the hydrodynamic regime

P. O. Sukhachov, E. V. Gorbar, Igor Shovkovy, V. A. Miransky

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


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 b0 and momentum . 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 . 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.

Original languageEnglish (US)
Article number275601
JournalJournal of Physics Condensed Matter
Issue number27
StatePublished - Jun 11 2018


  • Weyl semimetals
  • collective modes
  • electron hydrodynamics
  • topological properties

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics


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