Excitonic gap, phase transition, and quantum Hall effect in graphene: strong-coupling regime
V. P. Gusynin, V. A. Miransky, S. G. Sharapov, I. A. Shovkovy
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 σxy with the additional ν= 0, 1 plateaus is reproduced. The form of σxy in the case of a strong-coupling regime with no enhanced Zeeman splitting is also discussed.
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