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Spectral and transport properties of doped (or gated) graphene with longrange charged impurities are discussed within the self-consistent Bornapproximation. It is shown how, for impurity concentrations $n_{imp}\gtrsim n$a finite DOS appears at the Dirac point, the one-particle lifetime no longerscales linearly with the Fermi momentum, and the lineshapes in the spectralfunction become non-lorentzian. These behaviors are different from the resultscalculated within the Born approximation. We also calculate the opticalconductivity from the Kubo formula by using the self-consistently calculatedspectral function in the presence of charged impurities.

Spectral and optical properties of doped graphene with charged impurities in the self-consistent Born approximation