The k p Method

Electronic Properties of Semiconductors
1. Auflage 2009
ISBN: 978-3-540-92871-3
Verlag: Springer

Buch, Englisch, 445 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1830 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Lew Yan Voon, Lok C.

Willatzen, Morten

Fachgebiete

• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Halb- und Supraleitertechnologie
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Materialwissenschaft: Elektronik, Optik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Werkstoffkunde, Materialwissenschaft: Forschungsmethoden
• Naturwissenschaften Physik Elektromagnetismus Halbleiter- und Supraleiterphysik
• Technische Wissenschaften Technik Allgemein Nanotechnologie
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Technische Wissenschaften Technik Allgemein Physik, Chemie für Ingenieure

Inhaltsverzeichnis

I Homogeneous Crystals.- One-Band Model.- Perturbation Theory#x2014;Valence Band.- Perturbation Theory #x2013; Kane Models.- Method of Invariants.- Spin Splitting.- Strain.- II Nonperiodic Problem.- Shallow Impurity States.- Magnetic Effects.- Electric Field.- Excitons.- Heterostructures: Basic Formalism.- Heterostructures: Further Topics.- Conclusion.

Über Autor(innen)

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.