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Deterministic Solvers for the Boltzmann Transport Equation

  • Book
  • © 2011

Overview

Authors:
  1. Sung-Min Hong

    1. Pleasanton, USA

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  2. Anh-Tuan Pham

    1. Inst. Elektronische Bauelemente u., Schaltungstechnik, TU Braunschweig, Braunschweig, Germany

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  3. Christoph Jungemann

    1. , Chair for Electromagnetic Theory, RWTH Aachen, Aachen, Germany

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  • 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

Part of the book series: Computational Microelectronics (COMPUTATIONAL)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Overview

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann
      Pages 3-9

  3. Electron Transport in the 3D k-Space

    1. Front Matter

      Pages 11-11
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    2. The Boltzmann Transport Equation and Its Projection onto Spherical Harmonics

      • Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann
      Pages 13-41

    3. Device Simulation

      • Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann
      Pages 43-59

    4. Band Structure and Scattering Mechanisms

      • Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann
      Pages 61-88

    5. Results

      • Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann
      Pages 89-129

  4. Transport in a Quasi-2D Hole Gas

    1. Front Matter

      Pages 131-131
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    2. Coordinate Systems and Systems of Equation

      • Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann
      Pages 133-134

    3. Efficient k · p SE Solver

      • Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann
      Pages 135-148

    4. Efficient 2D k-Space Discretization and Non-Linear Interpolation Schemes

      • Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann
      Pages 149-161

    5. Deterministic Solver for the Multisubband Stationary BTE

      • Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann
      Pages 163-173

    6. Poisson Equation

      • Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann
      Pages 175-176

    7. Iteration Methods

      • Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann
      Pages 177-182

    8. Results

      • Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann
      Pages 183-209

  5. Back Matter

    Pages 211-227
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Keywords

About this book

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.

Authors and Affiliations

  • Pleasanton, USA

    Sung-Min Hong

  • Inst. Elektronische Bauelemente u., Schaltungstechnik, TU Braunschweig, Braunschweig, Germany

    Anh-Tuan Pham

  • , Chair for Electromagnetic Theory, RWTH Aachen, Aachen, Germany

    Christoph Jungemann

About the authors

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

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