Conductivity of Coulomb interacting massless Dirac particles in graphene: Regularization-dependent parameters and symmetry constraints
1 Universidade Federal de Minas Gerais, Departamento de Física, ICEx - P.O. BOX 702, 30.161-970, Belo Horizonte MG, Brazil
2 Universidade Federal do Tocantins, Departamento de Física - P.O. Box 132, 77804-970, Araguaína, TO, Brazil
Received: 22 October 2013
Accepted: 24 October 2013
We compute the Coulomb correction to the ac conductivity of interacting massless Dirac particles in graphene in the collisionless limit using the polarization tensor approach in a regularization-independent framework. Arbitrary parameters stemming from differences between logarithmically divergent integrals are fixed on physical grounds exploiting only the spatial O(2) rotational invariance of the model which amounts to the transversality of the polarization tensor. Consequently is unequivocally determined to be within this effective model. We compare our result with explicit regularizations and discuss the origin of other results for found in the literature.
PACS: 72.80.Vp – Electronic transport in graphene / 11.10.Gh – Renormalization
© EPLA, 2013