Effect of Coulomb interactions on the physical observables of graphene

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Proceedings of the Nobel Symposium on graphene 2010, to appear as a special issue in Physica Scripta

Scientific paper

We give an update of the situation concerning the effect of electron-electron interactions on the physics of a neutral graphene system at low energies. We revise old renormalization group results and the use of 1/N expansion to address questions of the possible opening of a low-energy gap, and the magnitude of the graphene fine structure constant. We emphasize the role of Fermi velocity as the only free parameter determining the transport and electronic properties of the graphene system and revise its renormalization by Coulomb interactions in the light of recent experimental evidence.

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