Abstract
The mobility μ of electrons limited by charged impurities in two dimensions is calculated, based on the proper connected diagram expansion of Kubo's formula. For a Coulomb-type interaction, the Boltzmann relaxation rate is Γ (0) = 2 π 2 h ̵ −1 n Im ∗ z 2 e 4 κ −2 p −2 , where n I, repr constant. This leads to a mobility proportional to temperature T for non-degenerate electrons. The quasi-particle effect, which is self-consistently contained in the proper connected diagram expansion, yields an equation for the relaxation rate Γ. The solution of this equation yields values in general reduced relative to Γ (0) at higher densities. The values of μ obtained in our calculations, are higher than those predicted by the Boltzmann theory, and deviations are pronounced at low temperatures.
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