Consistent hydrodynamic theory of chiral electrons in weyl semimetals

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

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The complete set of Maxwell's and hydrodynamic equations for the chiral electrons in Weyl semimetals is presented. The formulation of the Euler equation takes into account the explicit breaking of the Galilean invariance by the ion lattice. It is shown that the Chern-Simons (or Bardeen-Zumino) contributions should be added to the electric current and charge densities in Maxwell's equations that provide the information on the separation of Weyl nodes in energy and momentum. On the other hand, these topological contributions do not directly affect the Euler equation and the energy conservation relation for the electron fluid. By making use of the proposed consistent hydrodynamic framework, we show that the Chern-Simons contributions strongly modify the dispersion relations of collective modes in Weyl semimetals. This is reflected, in particular, in the existence of distinctive anomalous Hall waves, which are sustained by the local anomalous Hall currents.

Original languageEnglish (US)
Article number121105
JournalPhysical Review B
Volume97
Issue number12
DOIs
StatePublished - Mar 12 2018

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Metalloids
metalloids
Euler equations
Maxwell equation
Hydrodynamics
hydrodynamics
Hall currents
Electric charge
Electrons
hydrodynamic equations
energy conservation
Maxwell equations
Electric currents
Invariance
Charge density
electric current
invariance
Momentum
Energy conservation
electrons

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Consistent hydrodynamic theory of chiral electrons in weyl semimetals. / Gorbar, E. V.; Miransky, V. A.; Shovkovy, Igor; Sukhachov, P. O.

In: Physical Review B, Vol. 97, No. 12, 121105, 12.03.2018.

Research output: Contribution to journalArticle

Gorbar, E. V. ; Miransky, V. A. ; Shovkovy, Igor ; Sukhachov, P. O. / Consistent hydrodynamic theory of chiral electrons in weyl semimetals. In: Physical Review B. 2018 ; Vol. 97, No. 12.
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