Deterministic Solvers for the Boltzmann Transport Equation

This book, the first comprehensive description of the numerical methods, covers every aspect of the Boltzmann transport equation, including transport in bulk and in inversion layers. It analyzes the issues of stabilization and band structure mapping in detail.

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.

first book on deterministic Boltzmann solvers for semiconductor devices first comprehensive description of the required numerical methods describes very recent and significant advances in the field of deterministic Boltzmann solvers Includes supplementary material: sn.pub/extras

Auteur
S.-M. Hong, A.-T. Pham, C. Jungemann

Contenu
Introduction. - Electron transport in the 3D k-space: The Boltzmann transport equation and its projection onto spherical harmonics. - Device simulation. - Band structure and scattering mechanisms. - Results. - Transport in a quasi 2D hole gas: Coordinate systems and systems of equation. - Efficient k . p SE solver. - Efficient 2D k-space discretization and non-linear interpolation schemes. - Deterministic solver for the multisubband stationary BTE. - Poisson equation. - Iteration methods. - Results. - References.