Renormalization of Coulomb interaction in graphene: computing observable quantities

Details Renormalization of Coulomb interaction in graphene: computing observable quantities Renormalization of Coulomb interaction in graphene: computing observable quantities

2010-02-16

arxiv.org/abs/1002.3111v1

Phys. Rev. B 82, 125409 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 4 figures

Scientific paper

10.1103/PhysRevB.82.125409

We address the computation of physical observables in graphene in the presence of Coulomb interactions of density-density type modeled with a static Coulomb potential within a quantum field theory perturbative renormalization scheme. We show that all the divergences encountered in the physical quantities are associated to the one loop electron self-energy and can be determined without ambiguities by a proper renormalization of the Fermi velocity. The renormalization of the photon polarization to second order in perturbation theory - a quantity directly related to the optical conductivity - is given as an example.

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