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Published in:
2007 | OriginalPaper | Chapter
Inclusion of the Pauli Principle in the Langevin-Boltzmann Equation for Bulk Systems
Author : C. Jungemann
Published in: Simulation of Semiconductor Processes and Devices 2007
Publisher: Springer Vienna
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The Pauli principle, which limits the occupancy of a single state to one electron, is included in a deterministic solver for the Langevin-Boltzmann equation (LBE) based on a spherical harmonics expansion. The Newton-Raphson scheme for solving the nonlinear BE converges within a few steps and the increase in CPU time is less than a factor of ten. Even in the case of an extremely degenerate electron gas no numerical problems occur. The approach works well for transport and noise, and the Nyquist theorem is satisfied with high numerical precision at equilibrium. For electrons in bulk silicon a non-negligible impact of the Pauli principle is found only at very high electron densities.