Anomalous transport properties of Dirac and Weyl semimetals (Review Article)

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

Research output: Contribution to journalReview article

10 Citations (Scopus)

Abstract

In this review we discuss a wide range of topological properties of electron quasiparticles in Dirac and Weyl semimetals. Their nontrivial topology is quantified by a monopole-like Berry curvature in the vicinity of Weyl nodes, as well as by the energy and momentum space separations between the nodes. The momentum separation, which is also known as the chiral shift, is one of the key elements of this review. We show that it can be dynamically generated in Dirac materials in a background magnetic field. We also pay a special attention to various forms of interplay between the background electromagnetic fields and the topological characteristics of Dirac and Weyl semimetals. In particular, we discuss their signature features in the transport of the electric and chiral charges, heat, as well as the quantum oscillations associated with the Fermi arc states. The origin of the dissipative transport of the Fermi arc states is critically examined. Finally, a consistent chiral kinetic theory for the description of Weyl semimetals is reviewed and its applications are demonstrated.

Original languageEnglish (US)
Pages (from-to)487-505
Number of pages19
JournalLow Temperature Physics
Volume44
Issue number6
DOIs
StatePublished - Jun 1 2018

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metalloids
transport properties
arcs
momentum
electric charge
kinetic theory
monopoles
electromagnetic fields
topology
curvature
signatures
heat
oscillations
shift
magnetic fields
electrons
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Anomalous transport properties of Dirac and Weyl semimetals (Review Article). / Gorbar, E. V.; Miransky, V. A.; Shovkovy, Igor; Sukhachov, P. O.

In: Low Temperature Physics, Vol. 44, No. 6, 01.06.2018, p. 487-505.

Research output: Contribution to journalReview article

Gorbar, E. V. ; Miransky, V. A. ; Shovkovy, Igor ; Sukhachov, P. O. / Anomalous transport properties of Dirac and Weyl semimetals (Review Article). In: Low Temperature Physics. 2018 ; Vol. 44, No. 6. pp. 487-505.
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