Excitonic gap, phase transition, and quantum Hall effect in graphene: strong-coupling regime

Abstract

We suggest that physics underlying the recently observed removal of sublattice and spin degeneracies in graphene in a strong magnetic field describes a phase transition connected with the generation of excitonic and spin gaps. The strong-coupling regime is described using a phenomenological model with enhanced Zeeman splitting (spin gap) and excitonic gaps. The experimental form of the Hall conductivity ${\sigma }_{xy}$ with the additional $\nu =0,\pm 1$ plateaus is reproduced. The form of ${\sigma }_{xy}$ in the case of a strong-coupling regime with no enhanced Zeeman splitting is also discussed.

Revtex4, 10 pages, 6 figures