Deterministic Solvers for the Boltzmann Transport Equation

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The book covers all aspects from the expansion of the Boltzmann transport equation with harmonic functions to application to devices, where transport in the bulk and in inversion layers is considered. The important aspects of stabilization and band structure mapping are discussed in detail. This is done not only for the full band structure of the 3D k-space, but also for the warped band 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.

Author(s): Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann (auth.)
Series: Computational Microelectronics
Edition: 1
Publisher: Springer-Verlag Wien
Year: 2011

Language: English
Pages: 227
Tags: Electronics and Microelectronics, Instrumentation;Semiconductors;Optical and Electronic Materials

Front Matter....Pages i-xviii
Front Matter....Pages 1-1
Introduction....Pages 3-9
Front Matter....Pages 11-11
The Boltzmann Transport Equation and Its Projection onto Spherical Harmonics....Pages 13-41
Device Simulation....Pages 43-59
Band Structure and Scattering Mechanisms....Pages 61-88
Results....Pages 89-129
Front Matter....Pages 131-131
Coordinate Systems and Systems of Equation....Pages 133-134
Efficient k · p SE Solver....Pages 135-148
Efficient 2D k-Space Discretization and Non-Linear Interpolation Schemes....Pages 149-161
Deterministic Solver for the Multisubband Stationary BTE....Pages 163-173
Poisson Equation....Pages 175-176
Iteration Methods....Pages 177-182
Results....Pages 183-209
Back Matter....Pages 211-227