TY - JOUR

T1 - Fermi Arcs and DC Transport in Nanowires of Dirac and Weyl Semimetals

AU - Sukhachov, Pavlo O.

AU - Rakov, Mykhailo V.

AU - Teslyk, Olena M.

AU - Gorbar, Eduard V.

N1 - Funding information: The authors are grateful to I. A. Shovkovy, J. H. Bardarson, and V. Kaladzhyan for useful discussions. P.O.S. was supported by the Villum Fonden via the Centre of Excellence for Dirac Materials (Grant No. 11744), the European Research Council under the European Unions Seventh Framework Program Synergy HERO, and the Knut and Alice Wallenberg Foundation KAW 2018.0104. M.V.R. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG) under Germany's Excellence Strategy - EXC-2123/1. The work of E.V.G. was supported partially by the Ukrainian State Foundation for Fundamental Research.

PY - 2020/2/1

Y1 - 2020/2/1

N2 - The transport properties and electron states in cylinder nanowires of Dirac and Weyl semimetals are studied paying special attention to the structure and properties of the surface Fermi arcs. The latter make the electric charge and current density distributions in nanowires strongly nonuniform as the majority of the charge density is accumulated at the surface. It is found that a Weyl semimetal wire also supports a magnetization current localized mainly at the surface because of the Fermi arcs contribution. By using the Kubo linear response approach, the direct current (DC) conductivity is calculated and it is found that its spatial profile is nontrivial. By explicitly separating the contributions of the surface and bulk states, it is shown that when the electric chemical potential and/or the radius of the wire is small, the electron transport is determined primarily by the Fermi arcs and the electrical conductivity is much higher at the surface than in the bulk. Due to the rise of the surface-bulk transition rate, the relative contribution of the surface states to the total conductivity gradually diminishes as the chemical potential increases. In addition, the DC conductivity at the surface demonstrates noticeable peaks when the Fermi level crosses energies of the surface states.

AB - The transport properties and electron states in cylinder nanowires of Dirac and Weyl semimetals are studied paying special attention to the structure and properties of the surface Fermi arcs. The latter make the electric charge and current density distributions in nanowires strongly nonuniform as the majority of the charge density is accumulated at the surface. It is found that a Weyl semimetal wire also supports a magnetization current localized mainly at the surface because of the Fermi arcs contribution. By using the Kubo linear response approach, the direct current (DC) conductivity is calculated and it is found that its spatial profile is nontrivial. By explicitly separating the contributions of the surface and bulk states, it is shown that when the electric chemical potential and/or the radius of the wire is small, the electron transport is determined primarily by the Fermi arcs and the electrical conductivity is much higher at the surface than in the bulk. Due to the rise of the surface-bulk transition rate, the relative contribution of the surface states to the total conductivity gradually diminishes as the chemical potential increases. In addition, the DC conductivity at the surface demonstrates noticeable peaks when the Fermi level crosses energies of the surface states.

KW - electronic transport

KW - Fermi arcs

KW - nanowire

KW - Weyl and Dirac semimetals

UR - http://www.scopus.com/inward/record.url?scp=85077880728&partnerID=8YFLogxK

U2 - 10.1002/andp.201900449

DO - 10.1002/andp.201900449

M3 - Article

AN - SCOPUS:85077880728

VL - 532

JO - Annalen der Physik

JF - Annalen der Physik

SN - 0003-3804

IS - 2

M1 - 1900449

ER -