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 proceedingConference 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 languageEnglish (US)
Title of host publicationPhysica Scripta T
VolumeT146
StatePublished - 2012
Event2010 Nobel Symposium on Graphene and Quantum Matter - Saltsjobaden, Sweden
Duration: May 27 2010May 31 2010

Other

Other2010 Nobel Symposium on Graphene and Quantum Matter
CountrySweden
CitySaltsjobaden
Period5/27/105/31/10

Fingerprint

quantum Hall effect
catalysis
graphene
integers
interactions
plateaus
broken symmetry
magnetic fields
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Gorbar, E. V., Gusynin, V. P., Miransky, V. A., & Shovkovy, I. (2012). Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene. In Physica Scripta T (Vol. T146). [014018]

Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene. / Gorbar, E. V.; Gusynin, V. P.; Miransky, V. A.; Shovkovy, Igor.

Physica Scripta T. Vol. T146 2012. 014018.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Gorbar, EV, Gusynin, VP, Miransky, VA & Shovkovy, I 2012, Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene. in Physica Scripta T. vol. T146, 014018, 2010 Nobel Symposium on Graphene and Quantum Matter, Saltsjobaden, Sweden, 5/27/10.
Gorbar EV, Gusynin VP, Miransky VA, Shovkovy I. Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene. In Physica Scripta T. Vol. T146. 2012. 014018
Gorbar, E. V. ; Gusynin, V. P. ; Miransky, V. A. ; Shovkovy, Igor. / Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene. Physica Scripta T. Vol. T146 2012.
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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.

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