Fizika Nizkikh Temperatur: Volume 44, Number 6 (June 2018), p. 635-657    ( to contents , go back )

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

E.V. Gorbar1,2, V.A. Miransky3, I.A. Shovkovy4,5, and P.O. Sukhachov3

1Department of Physics, Taras Shevchenko National Kiev University, Kiev 03680, Ukraine

2Bogolyubov Institute for Theoretical Physics, Kiev 03680, Ukraine

3Department of Applied Mathematics, Western University, London, Ontario N6A 5B7, Canada

4College of Integrative Sciences and Arts, Arizona State University, Mesa, Arizona 85212, USA

5Department of Physics, Arizona State University, Tempe, Arizona 85287, USA
E-mail: psukhach@uwo.ca

Received December 25, 2017

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.

PACS: 72.80.–r Conductivity of specific materials;
PACS: 71.18.+y Fermi surface: calculations and measurements; effective mass, g factor;
PACS: 72.15.–v Electronic conduction in metals and alloys.

Key words: Dirac semimetals, Weyl semimetals, magnetic field, Fermi arcs, electron transport.

Published online: April 25, 2018

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