Quantum transport theory of impurity and electron‐electron scattering resistivity in n‐type semiconductors using the correlation function method

The quantum transport theory of electrical conductivity of a model system of electrons interacting with fixed ions should unify the usual theories of electrical conductivity of doped semiconductors, liquid metals, and dense ion plasmas. Starting from the method of nonequilibrium statistical operator, the conductivity is expressed by correlation functions which can be evaluated using the Green's function technique. Especially, the influence of electron‐electron scattering on the conductivity is considered. Results are given for arbitrary degree of degeneration and are compared with results obtained from the solution of the Boltzmann equation by standard methods.