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: Contribution to journalArticle

25 Citations (Scopus)

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)
Article number014018
JournalPhysica Scripta
Issue numberT146
DOIs
StatePublished - Jan 2012

Fingerprint

Quantum Hall Effect
Landau Levels
Coulomb Interaction
Catalysis
Graphene
quantum Hall effect
catalysis
graphene
integers
interactions
Integer
Quasiparticles
Long-range Interactions
Energy Model
Degeneracy
Symmetry Breaking
Renormalization
Paul Adrien Maurice Dirac
plateaus
Lowest

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics

Cite this

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

In: Physica Scripta, No. T146, 014018, 01.2012.

Research output: Contribution to journalArticle

Gorbar, E. V. ; Gusynin, V. P. ; Miransky, V. A. ; Shovkovy, Igor. / Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene. In: Physica Scripta. 2012 ; No. T146.
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