Abstract
The influence of short-range scatterers on the ground sub-band E 0, of a two-dimensional electron gas in n-inversion silicon layers is studied by the Green function method. The level shift, level broadening and density of states D(E) are calculated numerically by solving Dyson's equation for the self-energy function Σ(E) for different values of the scattering parameter S, introduced here. A calculation procedure with double self-consistency is described and illustrated with results for different surface orientations. By calculating the quasi-particle energy spectrum we show how two unphysical solutions of the spectrum disappear when renormalized propagators are used.