Thermodynamic Green's Function Approach to Impurity Conduction. I. dc Conduction

The thermodynamic Green's function method is applied to the problem of de impurity conduction in semiconductors. Both the electron hopping motion at low impurity concentrations and the band conduction at high concentrations are studied. A localised representation is used for the electronic states and the electron‐phonon interactions are evaluated by the deformation potential approximation. The current density auto‐correlation function is calculated by means of the reduced diagram expansion.