We model the electrons on a monolayer graphene in terms of the compact and non-compact U(1) lattice gauge theories. The system is analyzed by the strong coupling expansion and is shown to be an insulator due to dynamical gap formation in/around the strong coupling limit. This is similar to the spontaneous chiral symmetry breaking in strong coupling gauge theories. The results from the compact and non-compact formulations are compared up to the next-to-leading order of the strong coupling expansion. Excitonic modes and their dispersion relations in the insulating phase are also investigated: it is found that there arises a pseudo-Nambu-Goldstone mode obeying the Gell-Mann-Oakes-Renner type formula.
|Journal||Proceedings of Science|
|Publication status||Published - 2010 Jan 1|
|Event||28th International Symposium on Lattice Field Theory, Lattice 2010 - Villasimius, Sardinia, Italy|
Duration: 2010 Jun 14 → 2010 Jun 19
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