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 journalArticlepeer-review

    28 Scopus citations


    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
    StatePublished - Jan 2012

    ASJC Scopus subject areas

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


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