Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene

E. V. Gorbar; V. P. Gusynin; V. A. Miransky; Igor Shovkovy

Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The dynamics of symmetry breaking responsible for lifting the degeneracy of the Landau levels (LLs) in the integer quantum Hall (QH) effect in graphene is studied in a low-energy model with the Coulomb interaction. The gap equation for Dirac quasiparticles is analyzed for both the lowest and higher LLs, taking into account the LL mixing. It is shown that the characteristic feature of the long-range Coulomb interaction is the dependence of the gap parameters on the LL index n ('running' gaps). The renormalization (running) of the Fermi velocity as a function of n is also studied. The solutions of the gap equation reproduce correctly the experimentally observed integer QH plateaus in graphene in strong magnetic fields.

Original language	English (US)
Title of host publication	Physica Scripta T
Volume	T146
State	Published - 2012
Event	2010 Nobel Symposium on Graphene and Quantum Matter - Saltsjobaden, Sweden Duration: May 27 2010 → May 31 2010

Other

Other	2010 Nobel Symposium on Graphene and Quantum Matter
Country/Territory	Sweden
City	Saltsjobaden
Period	5/27/10 → 5/31/10

ASJC Scopus subject areas

General Physics and Astronomy

Cite this

@inproceedings{e8dd245256b7406f87a24b5e2e90d577,

title = "Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene",

abstract = "The dynamics of symmetry breaking responsible for lifting the degeneracy of the Landau levels (LLs) in the integer quantum Hall (QH) effect in graphene is studied in a low-energy model with the Coulomb interaction. The gap equation for Dirac quasiparticles is analyzed for both the lowest and higher LLs, taking into account the LL mixing. It is shown that the characteristic feature of the long-range Coulomb interaction is the dependence of the gap parameters on the LL index n ('running' gaps). The renormalization (running) of the Fermi velocity as a function of n is also studied. The solutions of the gap equation reproduce correctly the experimentally observed integer QH plateaus in graphene in strong magnetic fields.",

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

year = "2012",

language = "English (US)",

volume = "T146",

booktitle = "Physica Scripta T",

note = "2010 Nobel Symposium on Graphene and Quantum Matter ; Conference date: 27-05-2010 Through 31-05-2010",

}

TY - GEN

T1 - Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene

AU - Gorbar, E. V.

AU - Gusynin, V. P.

AU - Miransky, V. A.

AU - Shovkovy, Igor

PY - 2012

Y1 - 2012

N2 - The dynamics of symmetry breaking responsible for lifting the degeneracy of the Landau levels (LLs) in the integer quantum Hall (QH) effect in graphene is studied in a low-energy model with the Coulomb interaction. The gap equation for Dirac quasiparticles is analyzed for both the lowest and higher LLs, taking into account the LL mixing. It is shown that the characteristic feature of the long-range Coulomb interaction is the dependence of the gap parameters on the LL index n ('running' gaps). The renormalization (running) of the Fermi velocity as a function of n is also studied. The solutions of the gap equation reproduce correctly the experimentally observed integer QH plateaus in graphene in strong magnetic fields.

AB - The dynamics of symmetry breaking responsible for lifting the degeneracy of the Landau levels (LLs) in the integer quantum Hall (QH) effect in graphene is studied in a low-energy model with the Coulomb interaction. The gap equation for Dirac quasiparticles is analyzed for both the lowest and higher LLs, taking into account the LL mixing. It is shown that the characteristic feature of the long-range Coulomb interaction is the dependence of the gap parameters on the LL index n ('running' gaps). The renormalization (running) of the Fermi velocity as a function of n is also studied. The solutions of the gap equation reproduce correctly the experimentally observed integer QH plateaus in graphene in strong magnetic fields.

UR - http://www.scopus.com/inward/record.url?scp=84858275042&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84858275042&partnerID=8YFLogxK

M3 - Conference contribution

VL - T146

BT - Physica Scripta T

T2 - 2010 Nobel Symposium on Graphene and Quantum Matter

Y2 - 27 May 2010 through 31 May 2010

ER -

Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene

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