Engineering Weyl nodes in Dirac semimetals by a magnetic field

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

Research output: Contribution to journalArticle

44 Citations (Scopus)

Abstract

We study the phase diagram of a Dirac semimetal in a magnetic field at a nonzero charge density. It is shown that there exists a critical value of the chemical potential at which a first-order phase transition takes place. At subcritical values of the chemical potential the ground state is a gapped state with a dynamically generated Dirac mass and a broken chiral symmetry. The supercritical phase is the normal (gapless) phase with a nontrivial chiral structure: it is a Weyl semimetal with a pair of Weyl nodes for each of the original Dirac points. The nodes are separated by a dynamically induced chiral shift. The direction of the chiral shift coincides with that of the magnetic field and its magnitude is determined by the quasiparticle charge density, the strength of the magnetic field, and the strength of the interaction. The rearrangement of the Fermi surface accompanying this phase transition is described.

Original languageEnglish (US)
Article number165105
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume88
Issue number16
DOIs
StatePublished - Oct 4 2013

Fingerprint

Metalloids
metalloids
Chemical potential
engineering
Magnetic fields
Charge density
Phase transitions
magnetic fields
Fermi surface
shift
Ground state
Fermi surfaces
Phase diagrams
phase diagrams
ground state
symmetry
interactions

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Engineering Weyl nodes in Dirac semimetals by a magnetic field. / Gorbar, E. V.; Miransky, V. A.; Shovkovy, Igor.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 88, No. 16, 165105, 04.10.2013.

Research output: Contribution to journalArticle

@article{c18834b6dbbc493781a60ee91125f0f3,
title = "Engineering Weyl nodes in Dirac semimetals by a magnetic field",
abstract = "We study the phase diagram of a Dirac semimetal in a magnetic field at a nonzero charge density. It is shown that there exists a critical value of the chemical potential at which a first-order phase transition takes place. At subcritical values of the chemical potential the ground state is a gapped state with a dynamically generated Dirac mass and a broken chiral symmetry. The supercritical phase is the normal (gapless) phase with a nontrivial chiral structure: it is a Weyl semimetal with a pair of Weyl nodes for each of the original Dirac points. The nodes are separated by a dynamically induced chiral shift. The direction of the chiral shift coincides with that of the magnetic field and its magnitude is determined by the quasiparticle charge density, the strength of the magnetic field, and the strength of the interaction. The rearrangement of the Fermi surface accompanying this phase transition is described.",
author = "Gorbar, {E. V.} and Miransky, {V. A.} and Igor Shovkovy",
year = "2013",
month = "10",
day = "4",
doi = "10.1103/PhysRevB.88.165105",
language = "English (US)",
volume = "88",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "16",

}

TY - JOUR

T1 - Engineering Weyl nodes in Dirac semimetals by a magnetic field

AU - Gorbar, E. V.

AU - Miransky, V. A.

AU - Shovkovy, Igor

PY - 2013/10/4

Y1 - 2013/10/4

N2 - We study the phase diagram of a Dirac semimetal in a magnetic field at a nonzero charge density. It is shown that there exists a critical value of the chemical potential at which a first-order phase transition takes place. At subcritical values of the chemical potential the ground state is a gapped state with a dynamically generated Dirac mass and a broken chiral symmetry. The supercritical phase is the normal (gapless) phase with a nontrivial chiral structure: it is a Weyl semimetal with a pair of Weyl nodes for each of the original Dirac points. The nodes are separated by a dynamically induced chiral shift. The direction of the chiral shift coincides with that of the magnetic field and its magnitude is determined by the quasiparticle charge density, the strength of the magnetic field, and the strength of the interaction. The rearrangement of the Fermi surface accompanying this phase transition is described.

AB - We study the phase diagram of a Dirac semimetal in a magnetic field at a nonzero charge density. It is shown that there exists a critical value of the chemical potential at which a first-order phase transition takes place. At subcritical values of the chemical potential the ground state is a gapped state with a dynamically generated Dirac mass and a broken chiral symmetry. The supercritical phase is the normal (gapless) phase with a nontrivial chiral structure: it is a Weyl semimetal with a pair of Weyl nodes for each of the original Dirac points. The nodes are separated by a dynamically induced chiral shift. The direction of the chiral shift coincides with that of the magnetic field and its magnitude is determined by the quasiparticle charge density, the strength of the magnetic field, and the strength of the interaction. The rearrangement of the Fermi surface accompanying this phase transition is described.

UR - http://www.scopus.com/inward/record.url?scp=84885194647&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84885194647&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.88.165105

DO - 10.1103/PhysRevB.88.165105

M3 - Article

AN - SCOPUS:84885194647

VL - 88

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 16

M1 - 165105

ER -