Band Theory and Electronic Properties of Solids
Series: Oxford Master Series in Condensed Matter Physics; 2;
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Product details:
- Publisher OUP Oxford
- Date of Publication 30 August 2001
- ISBN 9780198506447
- Binding Paperback
- No. of pages240 pages
- Size 245x189x14 mm
- Weight 532 g
- Language English
- Illustrations numerous line figures 0
Categories
Short description:
Band theory is evident all around us and yet is one of the most stringent tests of quantum mechanics. This textbook, one of the first in the new Oxford Master Series in Physics, attempts to reveal in a quantitative and fairly rigorous fashion how band theory leads to the everyday properties of materials. The book is suitable for final-year undergraduate and first-year graduate students in physics and materials science.
MoreLong description:
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.
" ... a first rate undergraduate text ... which will satisfy a definite market need"
Table of Contents:
Preface
Metals: the Drude and Sommerfeld models
The quantum mechanics of particles in a periodic potential
The nearly free electron model
The tight-binding model
Some general points about band structure
Semiconductors and insulators
Band structure engineering
Measurement of band structure
Transport of heat and electricity in metals and semiconductors
Magneto-resistance in three-dimensional systems
Magneto-resistance in two-dimensional systems and the quantum Hall effect
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
