Edge states, mass and spin gaps, and quantum Hall effect in graphene

V. P. Gusynin, V. A. Miransky, S. G. Sharapov, I. A. Shovkovy

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44 Scopus citations


Motivated by recent experiments and a theoretical analysis of the gap equation for the propagator of Dirac quasiparticles, we assume that the physics underlying the recently observed removal of sublattice and spin degeneracies in graphene in a strong magnetic field is connected with the generation of both Dirac masses and spin gaps. The consequences of such a scenario for the existence of the gapless edge states with zigzag and armchair boundary conditions are discussed. In the case of graphene on a half-plane with a zigzag edge, there are gapless edge states in the spectrum only when the spin gap dominates over the mass gap. In the case of an armchair edge, however, the existence of the gapless edge states depends on the specific type of mass gaps.

Original languageEnglish (US)
Article number205409
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number20
StatePublished - May 9 2008


ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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