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Deterministic simulation of 3D and quasi-2D electron and hole systems in SiGe devices

We present examples of deterministic solvers for the Boltzmann transport equation for electrons and holes in a 3D and quasi 2D fc-space. Compared to the standard approach, the Monte Carlo method, these deterministic solvers have certain advantages. They yield exact stationary solutions, which, for example, are required for the simulation of the floating body effect in SOI devices. They allow exact small-signal and noise analysis in the whole range of frequencies from 0 to THz. Inclusion of magnetic fields, the Pauli principle or rare events causes no problems. On the other hand, the deterministic solvers are more memory intensive and more difficult to code than the Monte Carlo method.