Quantum and transport conductivities in monolayer graphene

We present a detailed theoretical study of the electronic transport properties of monolayer graphene. The quantum and transport conductivities are calculated on the basis of the usual momentum-balance equation derived from a semiclassical Boltzmann equation. We investigate carrier-impurity scattering in a massless Dirac quasiparticle system. The carrier interactions with remote and background impurities are considered, and the carrier-carrier screening is included within the random phase approximation. The dependence of the conductivities on temperature is also examined. Moreover, a very simple analytical formula is proposed such that only one fitting parameter is needed in order to make a quantitative comparison with the experimental results.