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Titlebook: Deterministic Solvers for the Boltzmann Transport Equation; Sung-Min Hong,Anh-Tuan Pham,Christoph Jungemann Book 2011 Springer-Verlag/Wien

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The Boltzmann Transport Equation and Its Projection onto Spherical Harmonicsgy space is introduced, and some important relations between transport coefficients in the energy space are explicitly derived. The spherical harmonics expansion of the BTE is shown in Sect. 2.5. Finally, noise analysis within the Langevin-Boltzmann framework is discussed in Sect. 2.6.
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Resultso demonstrate the numerical robustness of the SHE solver. Finally, SiGe HBTs are investigated. Comparison of the SHE results with full band MC data is followed by characterization of the DC and RF performance of a 2D SiGe HBT.
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0179-0307 structure of the quasi 2D hole gas. Efficient methods for building the Schrödinger equation for arbitrary surface or strain directions, gridding of the 2D k-space and solving it together with the other two equations are presented.978-3-7091-1119-2978-3-7091-0778-2Series ISSN 0179-0307
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Introductionling is expected to continue for some time [2]. For such scaled devices, transport can no longer be described accurately by momentum based models (drift-diffusion or hydrodynamic models) [3, 4], which fail even in the linear transport regime [5, 6].
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The Boltzmann Transport Equation and Its Projection onto Spherical Harmonicsthe three-dimensional wave vector space is introduced in Sect. 2.1. The PE is required for the calculation of the electric field, which enters the BTE. If only one carrier type is simulated, a drift-diffusion model is solved for the other type. The PE and drift-diffusion model are discussed in Sect.
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Device Simulationipation scheme, which are two key ingredients for a stable higher-order SHE simulation, are expounded. Moreover, in the special case of the lowest order expansion, it is explicitly shown that the Jacobian matrix of the resultant set of equations is a non-singular M-matrix. Therefore, the non-negativ
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