Elmajbery
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Semiconductor equations
Peter A. Markowich, Christian A. Ringhofer, Christian Schmeiser
Springer Verlag, 1990, ISBN 0-387-82157-0, 3-211-82157-0, 258 Pages , Pdf, 53 MB
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Rate Equations in Semiconductor Electronics Volume:
J. E. Carroll
1990 , 192 Pages, djvu , 1006 kB
This is a novel approach to teaching dynamic aspects of the operation of semiconductor and opto-electronic devices. The traditional approach emphasizes an understanding of the steady equilibrium operation. However, dynamic aspects often determine the steady state conditions and the dynamical operation is of increasing importance as modern methods of communicating data and information require electronic devices that switch electrical or optical signals at ever faster rates. The opening chapter considers a number of simple problems, several drawn from daily experience, where the rates of movement can be used to determine equilibrium states. The remainder of the book concentrates on specific problems in semiconductor physics: the rates at which transistors and diodes can switch, and the rates at which electrons and holes can interact with photons, and photons with photons.
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The Stationary Semiconductor Device Equations
Doz. Dr. Peter A. Markowich (auth.)
Springer-Verlag Wien, 1986, 4 MB, pdf
ISBN: 978-3-211-99937-0, 978-3-7091-3678-2
In the last two decades semiconductor device simulation has become a research area, which thrives on a cooperation of physicists, electrical engineers and mathe maticians. In this book the static semiconductor device problem is presented and analysed from an applied mathematician's point of view. I shall derive the device equations - as obtained for the first time by Van Roosbroeck in 1950 - from physical principles, present a mathematical analysis, discuss their numerical solu tion by discretisation techniques and report on selected device simulation runs. To me personally the most fascinating aspect of mathematical device analysis is that an interplay of abstract mathematics, perturbation theory, numerical analysis and device physics is prompting the design and development of new technology. I very much hope to convey to the reader the importance of applied mathematics for technological progress. Each chapter of this book is designed to be as selfcontained as possible, however, the mathematical analysis of the device problem requires tools which cannot be presented completely here. Those readers who are not interested in the mathemati cal methodology and rigor can extract the desired information by simply ignoring details and proofs of theorems. Also, at the beginning of each chapter I refer to textbooks which introduce the interested reader to the required mathematical concepts.
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Transport equations for semiconductors
Ansgar Jüngel
Springer-Verlag Berlin Heidelberg, 2009, 315 Pages, pdf
ISBN: 3540895256, 9783540895251
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.
Table of contents :
Front Matter....Pages 1-15
Front Matter....Pages 1-2
Basic Semiconductor Physics....Pages 1-42
Front Matter....Pages 1-2
Derivation of Macroscopic Equations....Pages 1-10
Collisionless Models....Pages 1-14
Scattering Models....Pages 1-25
Front Matter....Pages 1-2
Drift-Diffusion Equations....Pages 1-29
Energy-Transport Equations....Pages 1-27
Spherical Harmonics Expansion Equations....Pages 1-14
Diffusive Higher-Order Moment Equations....Pages 1-24
Hydrodynamic Equations....Pages 1-19
Front Matter....Pages 1-2
The Schrödinger Equation....Pages 1-14
The Wigner Equation....Pages 1-17
Front Matter....Pages 1-2
Quantum Drift-Diffusion Equations....Pages 1-24
Quantum Diffusive Higher-Order Moment Equations....Pages 1-8
Quantum Hydrodynamic Equations....Pages 1-26
Back Matter....Pages 1-7
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