Multi-Band Effective Mass Approximations
Advanced Mathematical Models and Numerical Techniques
Editors: Ehrhardt, Matthias, Koprucki, Thomas (Eds.)
Free Preview- First book on this subject at the interface of mathematics and physics
- Many interdisciplinary aspects covered ranging from the proper modelling to the accurate and stable numerical solution
- Describes concisely in 8 chapters the state-of-the art in modelling and numerical simulations of Multiband Effective Mass Approximations
Buy this book
- About this book
-
This book addresses several mathematical models from the most relevant class of kp-Schrödinger systems. Both mathematical models and state-of-the-art numerical methods for adequately solving the arising systems of differential equations are presented. The operational principle of modern semiconductor nano structures, such as quantum wells, quantum wires or quantum dots, relies on quantum mechanical effects.
The goal of numerical simulations using quantum mechanical models in the development of semiconductor nano structures is threefold: First they are needed for a deeper understanding of experimental data and of the operational principle. Secondly, they allow us to predict and optimize in advance the qualitative and quantitative properties of new devices in order to minimize the number of prototypes needed. Semiconductor nano structures are embedded as an active region in semiconductor devices. Thirdly and finally, the results of quantum mechanical simulations of semiconductor nano structures can be used with upscaling methods to deliver parameters needed in semi-classical models for semiconductor devices, such as quantum well lasers. This book covers in detail all these three aspects using a variety of illustrative examples.
Readers will gain detailed insights into the status of the multiband effective mass method for semiconductor nano structures. Both users of the kp method as well as advanced researchers who want to advance the kp method further will find helpful information on how to best work with this method and use it as a tool for characterizing the physical properties of semiconductor nano structures.
The book is primarily intended for graduate and Ph.D. students in applied mathematics, mathematical physics and theoretical physics, as well as all those working in quantum mechanical research or the semiconductor / opto-electronic industry who are interested in new mathematical aspects.
- Table of contents (8 chapters)
-
-
Kinetic and Hydrodynamic Models for Multi-Band Quantum Transport in Crystals
Pages 3-56
-
Electronic Properties of III-V Quantum Dots
Pages 57-85
-
Symmetries in Multiband Hamiltonians for Semiconductor Quantum Dots
Pages 87-126
-
Finite Elements for k⋅p Multiband Envelope Equations
Pages 129-154
-
Plane-Wave Approaches to the Electronic Structure of Semiconductor Nanostructures
Pages 155-189
-
Table of contents (8 chapters)
- Download Preface 1 PDF (44.5 KB)
- Download Sample pages 1 PDF (1.4 MB)
- Download Table of contents PDF (107.9 KB)
Recommended for you
Bibliographic Information
- Bibliographic Information
-
- Book Title
- Multi-Band Effective Mass Approximations
- Book Subtitle
- Advanced Mathematical Models and Numerical Techniques
- Editors
-
- Matthias Ehrhardt
- Thomas Koprucki
- Series Title
- Lecture Notes in Computational Science and Engineering
- Series Volume
- 94
- Copyright
- 2014
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-01427-2
- DOI
- 10.1007/978-3-319-01427-2
- Hardcover ISBN
- 978-3-319-01426-5
- Softcover ISBN
- 978-3-319-34882-7
- Series ISSN
- 1439-7358
- Edition Number
- 1
- Number of Pages
- XVI, 318
- Number of Illustrations
- 21 b/w illustrations, 62 illustrations in colour
- Topics
