Interaction corrections to the polarization function of graphene
  The first-order interaction correction to the irreducible polarization function of pristine graphene is studied at arbitrary relation between momentum and frequency. The results are used to calculate the dielectric function and the dynamical conductivity of graphene beyond the standard random-phase approximation. The computed static dielectric constant compares favorably with recent experiments. 
Inti Sodemann, Michael M. Fogler
cond-mat.mes-hall