Numerical simulation of intervalley transitions by the Wigner-function approach

Abstract

In this work we present a recently developed transport model, based on the Wigner-function approach and allowing for non-parabolic band profiles. Two scattering mechanisms are included by means of a Boltzmann-like collision operator, describing the collisions between electrons and polar optical and intervalley phonons. The transport equation for the Wigner function is solved by the splitting-scheme algorithm. We have chosen a one-dimensional model band profile, which exhibits satellite valleys, besides the minimum at the centre of the Brillouin zone, similar to the band profile of GaAs.