Chiral anomaly, dimensional reduction, and magnetoresistivity of Weyl and Dirac semimetals

E. V. Gorbar, V. A. Miransky, Igor Shovkovy

Research output: Contribution to journalArticle

87 Citations (Scopus)

Abstract

By making use of the Kubo formula, we calculate the conductivity of Dirac and Weyl semimetals in a magnetic field. We find that the longitudinal (along the direction of the magnetic field) magnetoresistivity is negative at sufficiently large magnetic fields for both Dirac and Weyl semimetals. The physical reason of this phenomenon is intimately connected with the dimensional spatial reduction 3→1 in the dynamics of the lowest Landau level. The off-diagonal component of the transverse (with respect to the direction of the magnetic field) conductivity in Weyl semimetals contains an anomalous contribution directly proportional to the momentum-space separation between the Weyl nodes. This contribution comes exclusively from the lowest Landau level and, as expected, is independent of the temperature, chemical potential, and magnetic field. The other part of the off-diagonal conductivity is the same as in Dirac semimetals and is connected with a nonzero density of charge carriers. The signatures for experimental distinguishing Weyl semimetals from Dirac ones through the measurements of conductivity are discussed.

Original languageEnglish (US)
Article number085126
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume89
Issue number8
DOIs
StatePublished - Feb 24 2014

Fingerprint

Metalloids
magnetoresistivity
metalloids
Magnetoresistance
anomalies
Magnetic fields
conductivity
magnetic fields
Chemical potential
potential fields
Charge carriers
charge carriers
Momentum
signatures
momentum

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Chiral anomaly, dimensional reduction, and magnetoresistivity of Weyl and Dirac semimetals. / Gorbar, E. V.; Miransky, V. A.; Shovkovy, Igor.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 89, No. 8, 085126, 24.02.2014.

Research output: Contribution to journalArticle

@article{e3deb8bc490d4b3c9f4381f155d45c39,
title = "Chiral anomaly, dimensional reduction, and magnetoresistivity of Weyl and Dirac semimetals",
abstract = "By making use of the Kubo formula, we calculate the conductivity of Dirac and Weyl semimetals in a magnetic field. We find that the longitudinal (along the direction of the magnetic field) magnetoresistivity is negative at sufficiently large magnetic fields for both Dirac and Weyl semimetals. The physical reason of this phenomenon is intimately connected with the dimensional spatial reduction 3→1 in the dynamics of the lowest Landau level. The off-diagonal component of the transverse (with respect to the direction of the magnetic field) conductivity in Weyl semimetals contains an anomalous contribution directly proportional to the momentum-space separation between the Weyl nodes. This contribution comes exclusively from the lowest Landau level and, as expected, is independent of the temperature, chemical potential, and magnetic field. The other part of the off-diagonal conductivity is the same as in Dirac semimetals and is connected with a nonzero density of charge carriers. The signatures for experimental distinguishing Weyl semimetals from Dirac ones through the measurements of conductivity are discussed.",
author = "Gorbar, {E. V.} and Miransky, {V. A.} and Igor Shovkovy",
year = "2014",
month = "2",
day = "24",
doi = "10.1103/PhysRevB.89.085126",
language = "English (US)",
volume = "89",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "8",

}

TY - JOUR

T1 - Chiral anomaly, dimensional reduction, and magnetoresistivity of Weyl and Dirac semimetals

AU - Gorbar, E. V.

AU - Miransky, V. A.

AU - Shovkovy, Igor

PY - 2014/2/24

Y1 - 2014/2/24

N2 - By making use of the Kubo formula, we calculate the conductivity of Dirac and Weyl semimetals in a magnetic field. We find that the longitudinal (along the direction of the magnetic field) magnetoresistivity is negative at sufficiently large magnetic fields for both Dirac and Weyl semimetals. The physical reason of this phenomenon is intimately connected with the dimensional spatial reduction 3→1 in the dynamics of the lowest Landau level. The off-diagonal component of the transverse (with respect to the direction of the magnetic field) conductivity in Weyl semimetals contains an anomalous contribution directly proportional to the momentum-space separation between the Weyl nodes. This contribution comes exclusively from the lowest Landau level and, as expected, is independent of the temperature, chemical potential, and magnetic field. The other part of the off-diagonal conductivity is the same as in Dirac semimetals and is connected with a nonzero density of charge carriers. The signatures for experimental distinguishing Weyl semimetals from Dirac ones through the measurements of conductivity are discussed.

AB - By making use of the Kubo formula, we calculate the conductivity of Dirac and Weyl semimetals in a magnetic field. We find that the longitudinal (along the direction of the magnetic field) magnetoresistivity is negative at sufficiently large magnetic fields for both Dirac and Weyl semimetals. The physical reason of this phenomenon is intimately connected with the dimensional spatial reduction 3→1 in the dynamics of the lowest Landau level. The off-diagonal component of the transverse (with respect to the direction of the magnetic field) conductivity in Weyl semimetals contains an anomalous contribution directly proportional to the momentum-space separation between the Weyl nodes. This contribution comes exclusively from the lowest Landau level and, as expected, is independent of the temperature, chemical potential, and magnetic field. The other part of the off-diagonal conductivity is the same as in Dirac semimetals and is connected with a nonzero density of charge carriers. The signatures for experimental distinguishing Weyl semimetals from Dirac ones through the measurements of conductivity are discussed.

UR - http://www.scopus.com/inward/record.url?scp=84897676651&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84897676651&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.89.085126

DO - 10.1103/PhysRevB.89.085126

M3 - Article

VL - 89

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 8

M1 - 085126

ER -