Zener Breakdown in Superlattices
The motion of a one-dimensional Bloch electron with mass m and charge —e in an external field F is governed by the Hamiltonian $$\hat H = - \frac{{{\hbar ^2}}}{{2m}}\frac{{{d^2}}}{{d{z^2}}} + U\left( z \right) + eFz;\quad U\left( {z + a} \right) = U\left(
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SOLID-STATE SCIENCES
141
Springer-Verlag Berlin Heidelberg GmbH Physics and Astronomy springeronline.com
ONLINE LIBRARY
Springer Series in
SOLID-STATE SCIENCES Series Editors: M. Cardona
P. Fulde
K. von Klitzing
R. Merlin
H.-J. Queisser
H. Stormer
The Springer Series in Solid-State Sciences consists of fundamental scientific books prepared by leading researchers in the field. They strive to communicate, in a systematic and comprehensive way, the basic principles as well as new developments in theoretical and experimental solid-state physics. 126 Physical Properties of Quasicrystals 127
128
129
130
131
132
133 134
Editor: Z.M. Stadnik Positron Annihilation in Semiconductors Defect Studies By R. Krause-Rehberg and H.S. Leipner Magneto-Optics Editors: S. Sugano and N. Kojima Computational Materials Science From Ab Initio to Monte Carlo Methods By K. Ohno, K. Esfarjani, and Y. Kawazoe Contact, Adhesion and Rupture of Elastic Solids ByD. Maugis Field Theories for Low-Dimensional Condensed Matter Systems Spin Systems and Strongly Correlated Electrons By G. Morandi, P. Sodano, A. Tagliacozzo, and V. Tognetti Vortices in Unconventional Superconductors and Superfluids Editors: R.P. Huebener, N. Schopohl, and G.E. Volovik The Quantum Hall Effect By D. Yoshioka Magnetism in the Solid State ByP.Mohn
Volumes 1-125 are listed at the end of the book.
135 Electrodynamics
136
137
138
139
140
141
142
of Magnetoactive Media By I. Vagner, B.I. Lembrikov, andP. Wyder Nanoscale Phase Separation and Colossal Magnetoresistance The Physics of Manganites and Related Compounds By E. Dagotto Quantum Transport in Submicron Devices A Theoretical Introduction By W. Magnus and W. Schoenmaker Phase Separation in Soft Matter Physics Micellar Solutions, Microemulsions, Critical Phenomena By P.K. Khabibullaev and A.A. Saidov Optical Response of Nanostructures Microscopic Nonlocal Theory ByK.Cho Fractal Concepts in Condensed Matter Physics By T. Nakayama and K. Yakubo Excitons in Low-Dimensional Semiconductors Theory, Numerical Methods, Applications By S. Glutsch Two-Dimensional Coulomb Liquids and Solids By Y. Monarkha and K. Kono
Stephan Glutsch
Excitons in Low-Dimensional Semiconductors Theory Numerical Methods Applications With 41 Figures
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Springer
Dr. Stephan Glutsch Friedrich -Schiller-Universitat Institut flir Festkiirpertheorie und Theoretische Optik Max-Wien-Platz 1 07743 Jena, Germany e-mail: [email protected]
Series Editors: Professor Dr., Dres. h. c. Manuel Cardona Professor Dr., Dres. h. c. Peter Fulde* Professor Dr., Dres. h. c. Klaus von Klitzing Professor Dr., Dres. h. c. Hans-Joachim Queisser Max-Planck-Institut flir Festkiirperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany • Max-Planck-Institut flir Physik komplexer Systeme, Niithnitzer Strasse 38 D-01187 Dresden, Germany
Professor Dr. Roberto Merlin Department of Physics, 5000 East University, University of Michigan Ann Arbor, MI 48109-1120, USA
Professor Dr. Horst StOrmer Dept. Phys. and Dept. App!. Physics, Columbia
