Quantum versus classical scattering in semiconductor charge transport: a quantitative comparison

A first-principle analysis is presented of the effect on transport phenomen a of the relaxation of the semiclassical assumptions of energy conservation and point-like nature in space/time of the scattering processes. Quantitat ive estimates for the quantum case have been obtained within the Wigner-fun ction approach with the use of the concept of Wigner paths. This formulatio n of the transport problem, although rigorous from the point of view of qua ntum mechanics, is very close to the classical language, so that comparison s are very straightforward. Results of the analysis of phonon scattering sh ow that multiple collisions reduce collisional broadening and contribute to understanding the success of the semiclassical approximation. An analogous formulation in terms of the density matrix confirms the obtained results. (C) 1999 Elsevier Science B.V. All rights reserved.