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

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

Strongly Correlated Electrons 2007-05-23 v1 Mesoscale and Nanoscale Physics

Authors: 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 $\sigma_{xy}$ 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.

Keywords

graphene excitonic gap phase transition quantum hall effect strong-coupling zeeman splitting

Cite

@article{arxiv.cond-mat/0612488,
  title  = {Excitonic gap, phase transition, and quantum Hall effect in graphene: strong-coupling regime},
  author = {V. P. Gusynin and V. A. Miransky and S. G. Sharapov and I. A. Shovkovy},
  journal= {arXiv preprint arXiv:cond-mat/0612488},
  year   = {2007}
}

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Revtex4, 10 pages, 6 figures

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

Abstract

Keywords

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