The k p Method: Electronic Properties of Semiconductors

Morten Willatzen, Lok C. Lew Yan Voon (auth.)3540928715, 9783540928713

This book presents a detailed exposition of the formalism and application of k.p theory for both bulk and nanostructured semiconductors. For bulk crystals, this is the first time all the major techniques for deriving the most popular Hamiltonians have been provided in one place. For nanostructures, this is the first time the Burt-Foreman theory has been made accessible. Thus, the reader will gain a clear understanding of the k.p method, will have an explicit listing of the various Hamiltonians in a consistent notation for their use, and a set of representative results. In addition, the reader can derive an excellent understanding of the electronic structure of semiconductors.

Table of contents :
Front Matter….Pages i-xvii
Introduction….Pages 1-3
Front Matter….Pages 5-5
One-Band Model….Pages 7-15
Perturbation Theory—Valence Band….Pages 17-54
Perturbation Theory – Kane Models….Pages 55-77
Method of Invariants….Pages 79-151
Spin Splitting….Pages 153-166
Strain….Pages 167-186
Front Matter….Pages 187-187
Shallow Impurity States….Pages 189-219
Magnetic Effects….Pages 221-244
Electric Field….Pages 245-255
Excitons….Pages 257-271
Heterostructures: Basic Formalism….Pages 273-362
Heterostructures: Further Topics….Pages 363-389
Conclusion….Pages 391-392
Back Matter….Pages 1-52