Solid State Theory

An Introduction

By: Ulrich Rossler

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Hardcover | 14 September 2009 | Edition Number 2

At a Glance

Hardcover
422 Pages

Edition Type
Revised

Dimensions(cm)
23.4 x 16.4 x 3.0

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Solid-State Theory - An Introduction" is a textbook for graduate students of physics and material sciences. Whilst covering the traditional topics of established older textbooks, it also takes up new developments in theoretical concepts and materials that are connected with such breakthroughs as the quantum-Hall effects, the high-T superconductors, and the low-dimensional systems realized in solids. Thus, besides providing the fundamental concepts to describe the physics of the electrons and ions comprising the solid, including their interactions, the book provides a link to the experimental facts and gives the reader an excellent insight into current research fields. A compilation of review problems makes the book especially valuable to both students and teachers. The new edition offers an additional chapter on the interaction of light and matter, plus end-of-chapter problems and solutions.

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List of Symbols	p. XVII
Introduction	p. 1
Aims and Outline	p. 2
The Structure of Solids	p. 4
Pair-Distribution Function and Structure Factor	p. 9
Problems	p. 12
The Solid as a Many-Particle Problem	p. 15
The Hamiltonian of the Solid	p. 16
Separating the Motion of Electrons and Ions	p. 20
Thermal Expectation Values	p. 22
Theory of Linear Response	p. 24
Kubo's Formulas: Response Functions	p. 28
Properties of Response Functions	p. 32
Problems	p. 36
Lattice Dynamics: Phonons	p. 37
Harmonic Approximation	p. 39
Normal Coordinates	p. 42
Phonons and Occupation Number Representation	p. 44
Acoustic Phonons	p. 48
Optical Phonons	p. 55
Examples: Phonon Dispersion Curves	p. 60
The Crystal Lattice at Finite Temperature	p. 68
Problems	p. 73
The Free Electron Gas	p. 75
Free Electrons Without Interaction	p. 76
Free Electrons in a Magnetic Field	p. 84
Occupation Number Representation for Electrons	p. 93
Hartree-Fock Approximation	p. 97
The Dielectric Function	p. 102
Discussion of the Dielectric Function	p. 107
Electronic Correlation	p. 110
Problems	p. 115
Electrons in a Periodic Potential	p. 119
Density Functional Theory	p. 120
Bloch Electrons and Band Structure	p. 127
Almost Free Electrons and Pseudo-Potentials	p. 129
LCAO and Tight-Binding Approximation	p. 139
Effective-Mass Approximation	p. 147
Subbands in Semiconductor Quantum Structures	p. 152
Problems	p. 157
Spin Waves: Magnons	p. 161
Preliminaries	p. 162
The Heisenberg Hamiltonian	p. 166
Spin Waves in Ferromagnets	p. 170
Spin Waves in Anti-Ferromagnets	p. 175
Molecular Field Approximation	p. 179
Itinerant Electron Magnetism	p. 185
Problems	p. 191
Correlated Electrons	p. 195
Retarded Green Function for Electrons	p. 196
The Hubbard Model	p. 201
Fermi Liquids	p. 208
Luttinger Liquids	p. 213
Heavy Fermion Systems	p. 217
Fractional Quantum Hall States	p. 222
Problems	p. 228
Electron-Phonon Interaction	p. 231
Preliminaries	p. 232
Coupling Mechanisms	p. 235
Scattering Processes: Lifetime, Relaxation	p. 240
The Frohlich Polaron	p. 247
Effective Electron-Electron Interaction	p. 250
Cooper Pairs and the Gap	p. 255
Problems	p. 263
Defects, Disorder, and Localization	p. 265
Point Defects	p. 266
Disorder	p. 273
Approximations for Impurity Scattering	p. 276
Electric Conductivity	p. 280
Metal-Insulator Transition	p. 285
Problems	p. 290
Light-Matter Interaction	p. 291
Preliminaries	p. 291
Single-Particle Approximation	p. 294
Excitons	p. 298
Polaritons	p. 307
Light-Scattering	p. 312
Coherent Interband Dynamics	p. 316
Semiconductor Bloch Equations	p. 320
Problems	p. 323
Appendices	p. 325
Elements of Group Theory	p. 325
Fourier Series and Fourier Transforms	p. 329
Fermi and Bose Integrals	p. 331
Sommerfeld Expansion	p. 333
Calculation of the Exchange Energy	p. 335
Operators in Fock Representation	p. 336
References	p. 337
Solutions	p. 349
Index	p. 389
Table of Contents provided by Ingram. All Rights Reserved.

Solid State Theory

An Introduction

At a Glance

Hardcover

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