简介
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.
目录
Foreword 5
Preface 8
Contents 10
Acronyms 17
Chapter 1 Introduction 18
Part I Homogeneous Crystals 21
Chapter 2 One-Band Model 22
Chapter 3 Perturbation Theory \u2013 Valence Band 31
Chapter 4 Perturbation Theory \u2013 Kane Models 69
Chapter 5 Method of Invariants 92
Chapter 6 Spin Splitting 165
Chapter 7 Strain 179
Part II Nonperiodic Problem 199
Chapter 8 Shallow Impurity States 200
Chapter 9 Magnetic Effects 231
Chapter 10 Electric Field 255
Chapter 11 Excitons 266
Chapter 12 Heterostructures: Basic Formalism 281
Chapter 13 Heterostructures: Further Topics 371
Chapter 14 Conclusion 398
Appendix A Quantum Mechanics and Group Theory 400
Appendix B Symmetry Properties 408
Appendix C Hamiltonians 419
References 437
Index 449
Preface 8
Contents 10
Acronyms 17
Chapter 1 Introduction 18
Part I Homogeneous Crystals 21
Chapter 2 One-Band Model 22
Chapter 3 Perturbation Theory \u2013 Valence Band 31
Chapter 4 Perturbation Theory \u2013 Kane Models 69
Chapter 5 Method of Invariants 92
Chapter 6 Spin Splitting 165
Chapter 7 Strain 179
Part II Nonperiodic Problem 199
Chapter 8 Shallow Impurity States 200
Chapter 9 Magnetic Effects 231
Chapter 10 Electric Field 255
Chapter 11 Excitons 266
Chapter 12 Heterostructures: Basic Formalism 281
Chapter 13 Heterostructures: Further Topics 371
Chapter 14 Conclusion 398
Appendix A Quantum Mechanics and Group Theory 400
Appendix B Symmetry Properties 408
Appendix C Hamiltonians 419
References 437
Index 449
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