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Principles of the Theory of Solids

Paperback

Published: 29th November 1979
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Professor Ziman's classic textbook on the theory of solids was first pulished in 1964. This paperback edition is a reprint of the second edition, which was substantially revised and enlarged in 1972. The value and popularity of this textbook is well attested by reviewers' opinions and by the existence of several foreign language editions, including German, Italian, Spanish, Japanese, Polish and Russian. The book gives a clear exposition of the elements of the physics of perfect crystalline solids. In discussing the principles, the author aims to give students an appreciation of the conditions which are necessary for the appearance of the various phenomena. A self-contained mathematical account is given of the simplest model that will demonstrate each principle. A grounding in quantum mechanics and knowledge of elementary facts about solids is assumed. This is therefore a textbook for advanced undergraduates and is also appropriate for graduate courses.

' ... this is an admirable book. Indeed, it scarcely needs my commendation: it is already being widely used as a graduate text on both sides of the Atlantic.' Nature ' ... this book is admirably suited to anyone wishing to learn about the mathematical methods used in the physics of the solid state, who has adequate preparation ... and the book should serve well as a text for a graduate course.' American Journal of Physics 'An outstanding account of the theoretical principles of the physics of perfect crystalline solids.' Choice

Periodic Structures
Translational symmetryp. 1
Periodic functionsp. 6
Properties of the reciprocal latticep. 9
Bloch's theoremp. 15
Reduction to a Brillouin zonep. 19
Boundary conditions: counting statesp. 23
Lattice Waves
Lattice dynamicsp. 27
Properties of lattice wavesp. 30
Lattice sumsp. 37
Lattice specific heatp. 43
Lattice spectrump. 47
Diffraction by an ideal crystalp. 51
Diffraction by crystal with lattice vibrationsp. 55
Phononsp. 59
The Debye--Waller factorp. 62
Anharmonicity and thermal expansionp. 66
Phonon--phonon interactiop. 68
Vibrations of imperfect latticesp. 71
Electron States
Free electronsp. 77
Diffraction of valence electronsp. 79
The nearly-free-electron modelp. 83
The tight-binding methodp. 91
Cellular methodsp. 96
Orthogonalized plane wavesp. 98
Augmented plane wavesp. 103
The Green function methodp. 106
Model pseudo-potentialsp. 108
Resonance bandsp. 113
Crystal symmetry and spin-orbit interactionp. 115
Static Properties of Solids
Types of solid: band picturep. 119
Types of solid: bond picturep. 124
Cohesionp. 129
Rigid band model and density of statesp. 133
Fermi statistics of electronsp. 136
Statistics of carriers in a semiconductorp. 139
Electronic specific heatp. 144
Electron--Electron Interaction
Perturbation formulationp. 146
Static screeningp. 149
Screened impurities and neutral pseudo-atomsp. 151
The singularity in the screening: Kohn effectp. 155
The Friedel sum rulep. 157
Dielectric constant of a semiconductorp. 161
Plasma oscillationsp. 163
Quasi-particles and cohesive energyp. 166
The Mott transitionp. 168
Dynamics of Electrons
General principlesp. 171
Wannier functionsp. 172
Equations of motion in the Wannier representationp. 175
The equivalent Hamiltonian: impurity levelsp. 177
Quasi-classical dynamicsp. 181
The mass tensor: electrons and holesp. 182
Excitonsp. 187
Zener breakdown: tunnellingp. 190
Electrons at a surfacep. 196
Scattering of electrons by impuritiesp. 199
Adiabatic principlep. 200
Renormalization of velocity of soundp. 203
The electron--phonon interactionp. 205
Deformation potentialsp. 209
Transport Properties
The Boltzmann equationp. 211
Electrical conductivityp. 215
Calculation of relaxation timep. 219
Impurity scatteringp. 220
'Ideal' resistancep. 221
Carrier mobilityp. 228
General transport coefficientsp. 229
Thermal conductivityp. 231
Thermo-electric effectsp. 235
Lattice conductionp. 239
Phonon dragp. 244
The Hall effectp. 246
The two-band model magneto-resistancep. 250
Optical Properties
Macroscopic theoryp. 255
Dispersion and absorptionp. 260
Optical modes in ionic crystalsp. 266
Photon--phonon transitionsp. 269
Interband transitionsp. 272
Interaction with conduction electronsp. 278
The anomalous skin effectp. 282
Ultrasonic attenuationp. 287
The Fermi Surface
High magnetic fieldsp. 292
Cyclotron resonancep. 294
High-field magneto-resistancep. 301
Open orbitsp. 306
Magneto-acoustic oscillationsp. 309
Quantization of orbitsp. 313
The de Haas--van Alphen effectp. 313
Magneto-optical absorptionp. 324
Magnetic breakdownp. 326
Magnetism
Orbital magnetic susceptibilityp. 329
Spin paramagnetismp. 331
The Curie--Weiss Law and ferromagnetismp. 334
Exchange interactionp. 336
Band ferromagnetismp. 339
Magnetic impuritiesp. 341
Antiferromagnetismp. 348
The Ising modelp. 353
Combinatorial methodp. 356
Exact solutions of the Ising problemp. 362
Spin wavesp. 366
The antiferromagnetic ground statep. 372
Superconductivity
The attraction between electronsp. 379
Cooper pairsp. 382
The superconducting ground statep. 386
Quasi-particles and the energy gapp. 390
Temperature dependence of the energy gapp. 392
Persistent currentsp. 394
The London equationp. 396
The coherence lengthp. 399
Off-diagonal long range orderp. 402
Superconducting junctionsp. 405
Type II materialp. 410
Bibliographyp. 415
Indexp. 425
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521297332
ISBN-10: 0521297338
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 452
Published: 29th November 1979
Publisher: Cambridge University Press
Dimensions (cm): 22.6 x 15.4  x 3.0
Weight (kg): 0.699