Lattice gauge theory model for graphene

Details Lattice gauge theory model for graphene Lattice gauge theory model for graphene

2010-05-14

arxiv.org/abs/1005.2528v3

Phys.Rev.B82:121418,2010

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 2 figures; typos corrected. Final version published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.82.121418

The effects of the electromagnetic (e.m.) electron-electron interactions in half-filled graphene are investigated in terms of a lattice gauge theory model. By using exact Renormalization Group methods and lattice Ward Identities, we show that the e.m. interactions amplify the responses to the excitonic pairings associated to a Kekul\'e distortion and to a charge density wave. The effect of the electronic repulsion on the Peierls-Kekul\'e instability, usually neglected, is evaluated by deriving an exact non-BCS gap equation, from which we find evidence that strong e.m. interactions among electrons facilitate the spontaneous distortion of the lattice and the opening of a gap.

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