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

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

2008-06-12

arxiv.org/abs/0806.2136v1

Phys. Rev. B 77, 205409 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

14 pages, 7 figures

Scientific paper

10.1103/PhysRevB.77.205409

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.

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