Hydrodynamic electron flow in a Weyl semimetal slab

Role of Chern-Simons terms

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

Research output: Contribution to journalReview article

4 Citations (Scopus)

Abstract

The hydrodynamic flow of the chiral electron fluid in a Weyl semimetal slab of finite thickness is studied by using the consistent hydrodynamic theory. The latter includes viscous, anomalous, and vortical effects, as well as accounts for dynamical electromagnetism. The energy and momentum separations between the Weyl nodes are taken into account via the topological Chern-Simons contributions in the electric current and charge densities in Maxwell's equations. When an external electric field is applied parallel to the slab, it is found that the electron fluid velocity has a nonuniform profile determined by the viscosity and the no-slip boundary conditions. Most remarkably, the fluid velocity field develops a nonzero component across the slab that gradually dissipates when approaching the surfaces. This abnormal component of the flow arises due to the anomalous Hall voltage induced by the topological Chern-Simons current. Another signature feature of the hydrodynamics in Weyl semimetals is a strong modification of the anomalous Hall current along the slab in the direction perpendicular to the applied electric field. Additionally, it is found that the topological current induces an electric potential difference between the surfaces of the slab that is strongly affected by the hydrodynamic flow.

Original languageEnglish (US)
Article number205119
JournalPhysical Review B
Volume97
Issue number20
DOIs
StatePublished - May 14 2018

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Metalloids
metalloids
slabs
Hydrodynamics
hydrodynamics
Electrons
Fluids
electrons
Electric fields
fluids
Electromagnetism
Electric charge
Maxwell equations
Electric potential
Electric currents
Hall currents
Charge density
electric fields
electric potential
Momentum

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Hydrodynamic electron flow in a Weyl semimetal slab : Role of Chern-Simons terms. / Gorbar, E. V.; Miransky, V. A.; Shovkovy, Igor; Sukhachov, P. O.

In: Physical Review B, Vol. 97, No. 20, 205119, 14.05.2018.

Research output: Contribution to journalReview article

Gorbar, E. V. ; Miransky, V. A. ; Shovkovy, Igor ; Sukhachov, P. O. / Hydrodynamic electron flow in a Weyl semimetal slab : Role of Chern-Simons terms. In: Physical Review B. 2018 ; Vol. 97, No. 20.
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