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  • Book
  • © 2009

Transport Equations for Semiconductors

Authors:

  • First self-contained text that presents a systematic and mathematically accurate description and derivation of transport equations in solid state physics, in particular semiconductor devices

Part of the book series: Lecture Notes in Physics (LNP, volume 773)

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  • ISBN: 978-3-540-89526-8
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Softcover Book USD 89.99
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Table of contents (14 chapters)

  1. Front Matter

    Pages 1-15
  2. Introduction

    1. Front Matter

      Pages 1-2
    2. Basic Semiconductor Physics

      • Ansgar Jüngel
      Pages 1-42
  3. Microscopic Semi-Classical Models

    1. Front Matter

      Pages 1-2
    2. Derivation of Macroscopic Equations

      • Ansgar Jüngel
      Pages 1-10
    3. Collisionless Models

      • Ansgar Jüngel
      Pages 1-14
    4. Scattering Models

      • Ansgar Jüngel
      Pages 1-25
  4. Macroscopic Semi-classical Models

    1. Front Matter

      Pages 1-2
  5. Macroscopic Semi-Classical Models

    1. Drift-Diffusion Equations

      • Ansgar Jüngel
      Pages 1-29
    2. Energy-Transport Equations

      • Ansgar Jüngel
      Pages 1-27
    3. Spherical Harmonics Expansion Equations

      • Ansgar Jüngel
      Pages 1-14
    4. Diffusive Higher-Order Moment Equations

      • Ansgar Jüngel
      Pages 1-24
    5. Hydrodynamic Equations

      • Ansgar Jüngel
      Pages 1-19
  6. Microscopic Quantum Models

    1. Front Matter

      Pages 1-2
    2. The Schrödinger Equation

      • Ansgar Jüngel
      Pages 1-14
    3. The Wigner Equation

      • Ansgar Jüngel
      Pages 1-17
  7. Macroscopic Quantum Models

    1. Front Matter

      Pages 1-2
    2. Quantum Drift-Diffusion Equations

      • Ansgar Jüngel
      Pages 1-24
    3. Quantum Hydrodynamic Equations

      • Ansgar Jüngel
      Pages 1-26

About this book

Semiconductor devices are ubiquitous in the modern computer and telecommunications industry. A precise knowledge of the transport equations for electron flow in semiconductors when a voltage is applied is therefore of paramount importance for further technological breakthroughs.

In the present work, the author tackles their derivation in a systematic and rigorous way, depending on certain key parameters such as the number of free electrons in the device, the mean free path of the carriers, the device dimensions and the ambient temperature. Accordingly a hierarchy of models is examined which is reflected in the structure of the book: first the microscopic and macroscopic semi-classical approaches followed by their quantum-mechanical counterparts.

Keywords

  • Semiconductor
  • Wigner-Boltzman equation
  • quantum hydrodynamic equation
  • semiconductor devices
  • transport equations

Reviews

From the reviews:

“The book is a comprehensive review of the main transport equations in semiconductors, presenting the state of the art from the point of view of mathematical modeling. … The book is addressed to applied mathematicians, solid state physicists and electrical and electronic engineers, but it is as well a good introduction for graduate and Ph.D. students specializing in the transport of charge carriers in semiconductors.” (Vittorio Romano, Mathematical Reviews, Issue 2011 k)

Bibliographic Information

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • ISBN: 978-3-540-89526-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 89.99
Price excludes VAT (USA)
Hardcover Book USD 89.99
Price excludes VAT (USA)