Inclusion of the Pauli principle in a deterministic Boltzmann equation solver for semiconductor devices

Abstract

The Pauli principle is included in a deterministic Boltzmann solver for multi-dimensional semiconductor devices. The Newton-Raphson scheme is applied to solve the nonlinear Boltzmann equation, and it is found that the inclusion of the Pauli principle introduces no numerical problems, even for semiconductor devices. The impact of the Pauli principle is numerically investigated for a scaled SiGe HBT.