Band theory and electronic properties of solids

John Singleton

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 self-contained introduction to the fundamentals of band theory and electronic properties in condensed matter physic today.

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[目次]

  • 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 - useful terminology in condensed matter physics, derivation of density of states in k-space, derivation of distribution functions, phonons, the Bohr model of hydrogen, experimental considerations in measuring resistivity and Hall effect, canonical momentum, superconductivity, symbols, fundamental constants.

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この本の情報

書名 Band theory and electronic properties of solids
著作者等 Singleton, John
シリーズ名 Oxford master series in condensed matter physics
出版元 Oxford University Press
刊行年月 2001
ページ数 xvi, 222 p.
大きさ 25 cm
ISBN 0198506457
9780198506447
NCID BA53818004
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言語 英語
出版国 イギリス
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