Anomalous transport properties of Dirac and Weyl semimetals

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 node...

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Published in:Физика низких температур
Date:2018
Main Authors: Gorbar, E.V., Miransky, V.A., Shovkovy, I.A., Sukhachov, P.O.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/176141
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Anomalous transport properties of Dirac and Weyl semimetals / E.V. Gorbar, V.A. Miransky, I.A. Shovkovy, P.O. Sukhachov // Физика низких температур. — 2018. — Т. 44, № 6. — С. 635-657. — Бібліогр.: 148 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Gorbar, E.V.
Miransky, V.A.
Shovkovy, I.A.
Sukhachov, P.O.
author_facet Gorbar, E.V.
Miransky, V.A.
Shovkovy, I.A.
Sukhachov, P.O.
citation_txt Anomalous transport properties of Dirac and Weyl semimetals / E.V. Gorbar, V.A. Miransky, I.A. Shovkovy, P.O. Sukhachov // Физика низких температур. — 2018. — Т. 44, № 6. — С. 635-657. — Бібліогр.: 148 назв. — англ.
collection DSpace DC
container_title Физика низких температур
description 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.
first_indexed 2025-11-26T00:36:53Z
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language English
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spelling Gorbar, E.V.
Miransky, V.A.
Shovkovy, I.A.
Sukhachov, P.O.
2021-02-03T18:43:39Z
2021-02-03T18:43:39Z
2018
Anomalous transport properties of Dirac and Weyl semimetals / E.V. Gorbar, V.A. Miransky, I.A. Shovkovy, P.O. Sukhachov // Физика низких температур. — 2018. — Т. 44, № 6. — С. 635-657. — Бібліогр.: 148 назв. — англ.
0132-6414
PACS: 72.80.–r, 71.18.+y, 72.15.–v
https://nasplib.isofts.kiev.ua/handle/123456789/176141
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.
The work of E.V.G. was partially supported by the Program of Fundamental Research of the Physics and Astronomy Division of the National Academy of Sciences of
 Ukraine. The work of V.A.M. and P.O.S. was supported by
 the Natural Sciences and Engineering Research Council of
 Canada. The work of I.A.S. was supported by the U.S.
 National Science Foundation under Grants PHY-1404232
 and PHY-1713950.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
Anomalous transport properties of Dirac and Weyl semimetals
Article
published earlier
spellingShingle Anomalous transport properties of Dirac and Weyl semimetals
Gorbar, E.V.
Miransky, V.A.
Shovkovy, I.A.
Sukhachov, P.O.
title Anomalous transport properties of Dirac and Weyl semimetals
title_full Anomalous transport properties of Dirac and Weyl semimetals
title_fullStr Anomalous transport properties of Dirac and Weyl semimetals
title_full_unstemmed Anomalous transport properties of Dirac and Weyl semimetals
title_short Anomalous transport properties of Dirac and Weyl semimetals
title_sort anomalous transport properties of dirac and weyl semimetals
url https://nasplib.isofts.kiev.ua/handle/123456789/176141
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AT miranskyva anomaloustransportpropertiesofdiracandweylsemimetals
AT shovkovyia anomaloustransportpropertiesofdiracandweylsemimetals
AT sukhachovpo anomaloustransportpropertiesofdiracandweylsemimetals