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arXiv · 1005.2528

Lattice gauge theory model for graphene

Alessandro Giuliani·Vieri Mastropietro·Marcello Porta
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Abstract

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 Kekulé distortion and to a charge density wave. The effect of the electronic repulsion on the Peierls-Kekulé 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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Alessandro Giuliani, Vieri Mastropietro, Marcello Porta. 2010-10-21. Lattice gauge theory model for graphene. https://doi.org/10.1103/physrevb.82.121418

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