# Conductivity of interacting massless Dirac particles in graphene: Collisionless regime - Condensed Matter > Mesoscale and Nanoscale Physics

Abstract: We provide detailed calculation of the a.c. conductivity in the case of1-r-Coulomb interacting massless Dirac particles in graphene in thecollisionless limit when \omega >> T. The analysis of the electron self-energy,current vertex function and polarization function, which enter into thecalculation of physical quantities including the a.c. conductivity, is carriedout by checking the Ward-Takahashi identities associated with the electricalcharge conservation and making sure that they are satisfied at each step. Weadopt a variant of the dimensional regularization of Veltman and t-Hooft bytaking the spatial dimension D=2-\epsilon, for \epsilon > 0. The procedureadopted here yields a result for the conductivity correction which, whileexplicitly preserving charge conservation laws, is nevertheless different fromthe results reported previously in literature.

Author: Vladimir Juricic, Oskar Vafek, Igor F. Herbut

Source: https://arxiv.org/