The k p Method

1. Front Matter

   Pages i-xvii

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2. Introduction

   • Lok C. Lew Yan Voon, Morten Willatzen

   Pages 1-3

3. Homogeneous Crystals

   1. Front Matter

      Pages 5-5

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4. Part I Homogeneous Crystals

   1. One-Band Model

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 7-15

   2. Perturbation Theory—Valence Band

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 17-54

   3. Perturbation Theory – Kane Models

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 55-77

   4. Method of Invariants

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 79-151

   5. Spin Splitting

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 153-166

   6. Strain

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 167-186

5. Nonperiodic Problem

   1. Front Matter

      Pages 187-187

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6. Part II Nonperiodic Problem

   1. Shallow Impurity States

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 189-219

   2. Magnetic Effects

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 221-244

   3. Electric Field

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 245-255

   4. Excitons

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 257-271

   5. Heterostructures: Basic Formalism

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 273-362

   6. Heterostructures: Further Topics

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 363-389

   7. Conclusion

      • Lok C. Lew Yan Voon, Morten Willatzen

      Pages 391-392

7. Back Matter

   Pages 1-52

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I ?rst heard of k·p in a course on semiconductor physics taught by my thesis adviser William Paul at Harvard in the fall of 1956. He presented the k·p Hamiltonian as a semiempirical theoretical tool which had become rather useful for the interpre- tion of the cyclotron resonance experiments, as reported by Dresselhaus, Kip and Kittel. This perturbation technique had already been succinctly discussed by Sho- ley in a now almost forgotten 1950 Physical Review publication. In 1958 Harvey Brooks, who had returned to Harvard as Dean of the Division of Engineering and Applied Physics in which I was enrolled, gave a lecture on the capabilities of the k·p technique to predict and ?t non-parabolicities of band extrema in semiconductors. He had just visited the General Electric Labs in Schenectady and had discussed with Evan Kane the latter’s recent work on the non-parabolicity of band extrema in semiconductors, in particular InSb. I was very impressed by Dean Brooks’s talk as an application of quantum mechanics to current real world problems. During my thesis work I had performed a number of optical measurements which were asking for theoretical interpretation, among them the dependence of effective masses of semiconductors on temperature and carrier concentration. Although my theoretical ability was rather limited, with the help of Paul and Brooks I was able to realize the capabilities of the k·p method for interpreting my data in a simple way.

• Band structure method
• Burt Foreman Theory
• Electronic properties
• Exciton
• Heterostructure
• Nanostructures
• Semiconductor
• Semiconductors
• bulk crystal
• electronic structure semiconductor
• kp theory
• nano physics
• nanostructered semiconductor
• perturbation theory

Dr. Lew Yan Voon has received recognitions for this teaching (e.g., advising awards, NSF CAREER award) and has taught the k.p method to MS students, PhD students and postdocs; this pedagogical experience has been invaluable for testing the manuscript as a textbook.

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