A quantum kinetic equation for high-field transport in semiconductors

The authors aim is the formulation of a tractable quantum theory capable of dealing properly with the length and time scales relevant to modern submicron devices. The Kadanoff-Baym-Keldysh non-equilibrium Green function method is employed to develop a formalism appropriate for high fields. No perturbation expansion arguments are employed. The equivalence of the two Kadanoff-Baym equations for the correlation function G^< for these systems is demonstrated. A relation analogous to the equilibrium case between G ^<, the spectral function A and the quantum distribution function f is derived at high fields without the loss of the intracollisional field effect.