Band Theory and Electronic Properties of Solids

Paperback | August 15, 2001

byJohn Singleton

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This book provides an introduction to band theory and the electronic properties of materials at a level suitable for final-year undergraduates or first-year graduate students. It sets out to provide the vocabulary and quantum-mechanical training necessary to understand the electronic, opticaland structural properties of the materials met in science and technology and describes some of the experimental techniques which are used to study band structure today. In order to leave space for recent developments, the Drude model and the introduction of quantum statistics are treatedsynoptically. However, Bloch's theorem and two tractable limits, a very weak periodic potential and the tight-binding model, are developed rigorously and in three dimensions. Having introduced the ideas of bands, effective masses and holes, semiconductor and metals are treated in some detail, alongwith the newer ideas of artificial structures such as super-lattices and quantum wells, layered organic substances and oxides. Some recent `hot topics' in research are covered, e.g. the fractional Quantum Hall Effect and nano-devices, which can be understood using the techniques developed in thebook. In illustrating examples of e.g. the de Haas-van Alphen effect, the book focuses on recent experimental data, showing that the field is a vibrant and exciting one. References to many recent review articles are provided, so that the student can conduct research into a chosen topic at a deeperlevel. Several appendices treating topics such as phonons and crystal structure make the book self-contained introduction to the fundamentals of band theory and electronic properties in condensed matter physic today.

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This book provides an introduction to band theory and the electronic properties of materials at a level suitable for final-year undergraduates or first-year graduate students. It sets out to provide the vocabulary and quantum-mechanical training necessary to understand the electronic, opticaland structural properties of the materials m...

Dr John Singleton, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, Tel: 01865 272236, Fax: 01865 272400, Email: j.singleton1@physics.ox.ac.uk. Leave of absence Aug 2000- Aug 2001: National High Magnetic Field Laboratory, Los Alamos National Laboratory, Mail Stop E536, Los Alamos, NM 87545, USA, Tel: +1 505 665 ...

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Format:PaperbackDimensions:240 pages, 9.69 × 7.44 × 0.55 inPublished:August 15, 2001Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198506449

ISBN - 13:9780198506447

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Table of Contents

Preface1. Metals: the Drude and Sommerfeld models2. The quantum mechanics of particles in a periodic potential3. The nearly free electron model4. The tight-binding model5. Some general points about band structure6. Semiconductors and insulators7. Band structure engineering8. Measurement of band structure9. Transport of heat and electricity in metals and semiconductors10. Magneto-resistance in three-dimensional systems11. Magneto-resistance in two-dimensional systems and the quantum Hall effect12. Inhomogeneous and hot carrier distribution in semiconductorsAppendicesA Useful terminology in condensed matter physicsB Derivation of density of states in k-spaceC Derivation of distribution functionsD PhononsE The Bohr model of hydrogenF Experimental considerations in measuring resistivity and Hall effectG Canonical momentumH SuperconductivityI SymbolsJ Fundamental constants

Editorial Reviews

"This textbook for advanced physics and engineering students begins by introducing two tractable limits of Bloch's theorem in three dimensions, and demonstrates that both extreme limits give rise to bands with band gaps between them. Singleton (physics, Oxford) then explains semiconductors bands, the idea of artificial structures, techniques used to measure the bandstructures of solids, and recent research in the field."--SciTech Book News "The Oxford Master Series in Condensed Matter Physics offers an appealing alternative to conventional texts: a set of slim volumes, each on a separate topic and complete with exercises, written by active researchers who can combine a current perspective with the presentation of the relevant fundamental principles. ... The warm informality of the style makes us readers feel as if they were attending the lectures. ... this book is highly recommended. Its readable and enjoyable format will help students to develop an intuition for electronic properties."--Physics Today