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

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

2006-12-19

arxiv.org/abs/cond-mat/0612488v1

Physics

Condensed Matter

Strongly Correlated Electrons

Revtex4, 10 pages, 6 figures

Scientific paper

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.

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