Overview

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, optical and 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 treated synoptically. 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, along with 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 the book. 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 deeper level. Several appendices treating topics such as phonons and crystal structure make the book a self-contained introduction to the fundamentals of band theory and electronic properties in condensed matter physics today.

Full Product Details

Author:   John Singleton
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Volume:   No.2
Dimensions:   Width: 18.90cm , Height: 1.70cm , Length: 24.60cm
Weight:   0.596kg
ISBN:  

9780198506454

ISBN 10:   0198506457
Pages:   238
Publication Date:   30 August 2001
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Out of stock  

Table of Contents

Preface; 1. Metals: the Drude and Sommerfeld models; 2. The quantum mechanics of particles in a periodic potential; 3. The nearly free electron model; 4. The tight-binding model; 5. Some general points about band structure; 6. Semiconductors and insulators; 7. Band structure engineering; 8. Measurement of band structure; 9. Transport of heat and electricity in metals and semiconductors; 10. Magneto-resistance in three-dimensional systems; 11. Magneto-resistance in two-dimensional systems and the quantum Hall effect; 12. Inhomogeneous and hot carrier distribution in semiconductors; APPENDICES; A Useful terminology in condensed matter physics; B Derivation of density of states in k-space; C Derivation of distribution functions; D Phonons; E The Bohr model of hydrogen; F Experimental considerations in measuring resistivity and Hall effect; G Canonical momentum; H Superconductivity; I Symbols; J Fundamental constants

Reviews

... a first rate undergraduate text ... which will satisfy a definite market need Prof. Martyn Chamberlain, University of Leeds ... set apart from the others in its field Dr Lilian Childress, Harvard University, Cambridge, MA

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