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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.