Imaginary part of the self-energy of a layered two-dimensional disordered electron gas.

Abstract

The imaginary part of the self-energy of a two-dimensional layered electronic gas with disorder has been calculated using the Fermi-liquid approach. The linear dependence of frequency or temperature obtained at the intermediate interlayer distances have been corrected with the terms containing the scattering time 1/\ensuremath{\tau}. In the limit ${\mathrm{\ensuremath{\tau}}}^{\mathrm{\ensuremath{-}}1}$\ensuremath{\rightarrow}0 all the cases obtained for the pure electron gas have been obtained. The correction given by the interaction of electrons with plasmons that contain the disorder effect can change the energy scale of the excitations, which in the pure case is the scale of the Fermi liquid.