Electrified magnetic catalysis in three-dimensional topological insulators

E. V. Gorbar; V. A. Miransky; Igor Shovkovy; P. O. Sukhachov

doi:10.1103/PhysRevB.94.115429

Electrified magnetic catalysis in three-dimensional topological insulators

E. V. Gorbar, V. A. Miransky, Igor Shovkovy, P. O. Sukhachov

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The gap equations for the surface quasiparticle propagators in a slab of three-dimensional topological insulator in external electric and magnetic fields perpendicular to the slab surfaces are analyzed and solved. A different type of magnetic catalysis is revealed with the dynamical generation of both Haldane and Dirac gaps. Its characteristic feature manifests itself in the crucial role that the electric field plays in dynamical symmetry breaking and the generation of a Dirac gap in the slab. It is argued that, for a sufficiently large external electric field, the ground state of the system is a phase with a homogeneous surface charge density.

Original language	English (US)
Article number	115429
Journal	Physical Review B
Volume	94
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevB.94.115429
State	Published - Sep 22 2016

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.94.115429

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title = "Electrified magnetic catalysis in three-dimensional topological insulators",

abstract = "The gap equations for the surface quasiparticle propagators in a slab of three-dimensional topological insulator in external electric and magnetic fields perpendicular to the slab surfaces are analyzed and solved. A different type of magnetic catalysis is revealed with the dynamical generation of both Haldane and Dirac gaps. Its characteristic feature manifests itself in the crucial role that the electric field plays in dynamical symmetry breaking and the generation of a Dirac gap in the slab. It is argued that, for a sufficiently large external electric field, the ground state of the system is a phase with a homogeneous surface charge density.",

author = "Gorbar, {E. V.} and Miransky, {V. A.} and Igor Shovkovy and Sukhachov, {P. O.}",

note = "Funding Information: The authors are grateful to V. P. Gusynin for useful discussions. The work of E.V.G. was supported partially by the Ukrainian State Foundation for Fundamental Research. 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 in part by the U. S. National Science Foundation under Grant No. PHY-1404232. Publisher Copyright: {\textcopyright} 2016 American Physical Society.",

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AU - Miransky, V. A.

AU - Shovkovy, Igor

AU - Sukhachov, P. O.

N1 - Funding Information: The authors are grateful to V. P. Gusynin for useful discussions. The work of E.V.G. was supported partially by the Ukrainian State Foundation for Fundamental Research. 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 in part by the U. S. National Science Foundation under Grant No. PHY-1404232. Publisher Copyright: © 2016 American Physical Society.

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N2 - The gap equations for the surface quasiparticle propagators in a slab of three-dimensional topological insulator in external electric and magnetic fields perpendicular to the slab surfaces are analyzed and solved. A different type of magnetic catalysis is revealed with the dynamical generation of both Haldane and Dirac gaps. Its characteristic feature manifests itself in the crucial role that the electric field plays in dynamical symmetry breaking and the generation of a Dirac gap in the slab. It is argued that, for a sufficiently large external electric field, the ground state of the system is a phase with a homogeneous surface charge density.

AB - The gap equations for the surface quasiparticle propagators in a slab of three-dimensional topological insulator in external electric and magnetic fields perpendicular to the slab surfaces are analyzed and solved. A different type of magnetic catalysis is revealed with the dynamical generation of both Haldane and Dirac gaps. Its characteristic feature manifests itself in the crucial role that the electric field plays in dynamical symmetry breaking and the generation of a Dirac gap in the slab. It is argued that, for a sufficiently large external electric field, the ground state of the system is a phase with a homogeneous surface charge density.

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Electrified magnetic catalysis in three-dimensional topological insulators

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