Electric, thermoelectric, and thermal conductivities of graphene with short-range unitary and charged impurities

Motivated by the experimental measurement of electrical and Hall conductivity, thermopower, and the Nernst effect, we calculate the longitudinal and transverse electrical and heat transport in graphene in the presence of unitary scatterers as well as charged impurities. The temperature and carrier density dependence in this system displays a number of anomalous features that arise due to the relativistic nature of the low-energy fermionic degrees of freedom. We derive the properties in detail including the effect of unitary and charged impurities self-consistently, and present tables giving the analytic expressions for all the transport properties in the limit of small and large temperature compared to the chemical potential and the scattering rates. We compare our results with the available experimental data. While the qualitative variations with temperature and density of carriers or chemical potential of all transport properties can be reproduced, we find that a given set of parameters of the impurities cannot fit all the observed data.