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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.
In this paper, a deterministic Boltzmann equation solver based on a higher order spherical harmonics expansion, including full-band (FB) effects, is presented. An anisotropic band structure for the conduction band with an invertible energy/wave vector relation has been generated by matching several moments of the group velocity of the silicon FB structure. A generalized formulation of the free-streaming...
The Boltzmann equation is solved by a spherical harmonics expansion including a magnetic force perpendicular to the two-dimensional simulation plane in real space. The new approach is used to verify a methodology for extracting the electron minority mobility of SiGe HBTs. Magnetotransport in a silicon n+nn+ device is simulated and a strong impact of the maximum number of spherical harmonics on the...
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