The Monte Carlo method for semi-classical charge transport in semiconductor devices

A brief review of the semi-classical Monte Carlo method for semiconductor d evice simulation is given, covering the standard Monte Carlo algorithms, va riance reduction techniques, the self-consistent solution, and the physical semiconductor model including band structure and scattering mechanisms. Th e link between physically-based Monte Carlo methods and the numerical metho d of Monte Carlo integration is considered. The integral representations an d the conjugate equations are presented for the transient and the steady-st ate Boltzmann equation. From these equations the standard algorithms as wel l as a variety of new algorithms can be derived in a formal way. (C) 2001 I MACS. Published by Elsevier Science B.V. All rights reserved.