| Periodic Structures | |
| Translational symmetry | p. 1 |
| Periodic functions | p. 6 |
| Properties of the reciprocal lattice | p. 9 |
| Bloch's theorem | p. 15 |
| Reduction to a Brillouin zone | p. 19 |
| Boundary conditions: counting states | p. 23 |
| Lattice Waves | |
| Lattice dynamics | p. 27 |
| Properties of lattice waves | p. 30 |
| Lattice sums | p. 37 |
| Lattice specific heat | p. 43 |
| Lattice spectrum | p. 47 |
| Diffraction by an ideal crystal | p. 51 |
| Diffraction by crystal with lattice vibrations | p. 55 |
| Phonons | p. 59 |
| The Debye--Waller factor | p. 62 |
| Anharmonicity and thermal expansion | p. 66 |
| Phonon--phonon interactio | p. 68 |
| Vibrations of imperfect lattices | p. 71 |
| Electron States | |
| Free electrons | p. 77 |
| Diffraction of valence electrons | p. 79 |
| The nearly-free-electron model | p. 83 |
| The tight-binding method | p. 91 |
| Cellular methods | p. 96 |
| Orthogonalized plane waves | p. 98 |
| Augmented plane waves | p. 103 |
| The Green function method | p. 106 |
| Model pseudo-potentials | p. 108 |
| Resonance bands | p. 113 |
| Crystal symmetry and spin-orbit interaction | p. 115 |
| Static Properties of Solids | |
| Types of solid: band picture | p. 119 |
| Types of solid: bond picture | p. 124 |
| Cohesion | p. 129 |
| Rigid band model and density of states | p. 133 |
| Fermi statistics of electrons | p. 136 |
| Statistics of carriers in a semiconductor | p. 139 |
| Electronic specific heat | p. 144 |
| Electron--Electron Interaction | |
| Perturbation formulation | p. 146 |
| Static screening | p. 149 |
| Screened impurities and neutral pseudo-atoms | p. 151 |
| The singularity in the screening: Kohn effect | p. 155 |
| The Friedel sum rule | p. 157 |
| Dielectric constant of a semiconductor | p. 161 |
| Plasma oscillations | p. 163 |
| Quasi-particles and cohesive energy | p. 166 |
| The Mott transition | p. 168 |
| Dynamics of Electrons | |
| General principles | p. 171 |
| Wannier functions | p. 172 |
| Equations of motion in the Wannier representation | p. 175 |
| The equivalent Hamiltonian: impurity levels | p. 177 |
| Quasi-classical dynamics | p. 181 |
| The mass tensor: electrons and holes | p. 182 |
| Excitons | p. 187 |
| Zener breakdown: tunnelling | p. 190 |
| Electrons at a surface | p. 196 |
| Scattering of electrons by impurities | p. 199 |
| Adiabatic principle | p. 200 |
| Renormalization of velocity of sound | p. 203 |
| The electron--phonon interaction | p. 205 |
| Deformation potentials | p. 209 |
| Transport Properties | |
| The Boltzmann equation | p. 211 |
| Electrical conductivity | p. 215 |
| Calculation of relaxation time | p. 219 |
| Impurity scattering | p. 220 |
| 'Ideal' resistance | p. 221 |
| Carrier mobility | p. 228 |
| General transport coefficients | p. 229 |
| Thermal conductivity | p. 231 |
| Thermo-electric effects | p. 235 |
| Lattice conduction | p. 239 |
| Phonon drag | p. 244 |
| The Hall effect | p. 246 |
| The two-band model magneto-resistance | p. 250 |
| Optical Properties | |
| Macroscopic theory | p. 255 |
| Dispersion and absorption | p. 260 |
| Optical modes in ionic crystals | p. 266 |
| Photon--phonon transitions | p. 269 |
| Interband transitions | p. 272 |
| Interaction with conduction electrons | p. 278 |
| The anomalous skin effect | p. 282 |
| Ultrasonic attenuation | p. 287 |
| The Fermi Surface | |
| High magnetic fields | p. 292 |
| Cyclotron resonance | p. 294 |
| High-field magneto-resistance | p. 301 |
| Open orbits | p. 306 |
| Magneto-acoustic oscillations | p. 309 |
| Quantization of orbits | p. 313 |
| The de Haas--van Alphen effect | p. 313 |
| Magneto-optical absorption | p. 324 |
| Magnetic breakdown | p. 326 |
| Magnetism | |
| Orbital magnetic susceptibility | p. 329 |
| Spin paramagnetism | p. 331 |
| The Curie--Weiss Law and ferromagnetism | p. 334 |
| Exchange interaction | p. 336 |
| Band ferromagnetism | p. 339 |
| Magnetic impurities | p. 341 |
| Antiferromagnetism | p. 348 |
| The Ising model | p. 353 |
| Combinatorial method | p. 356 |
| Exact solutions of the Ising problem | p. 362 |
| Spin waves | p. 366 |
| The antiferromagnetic ground state | p. 372 |
| Superconductivity | |
| The attraction between electrons | p. 379 |
| Cooper pairs | p. 382 |
| The superconducting ground state | p. 386 |
| Quasi-particles and the energy gap | p. 390 |
| Temperature dependence of the energy gap | p. 392 |
| Persistent currents | p. 394 |
| The London equation | p. 396 |
| The coherence length | p. 399 |
| Off-diagonal long range order | p. 402 |
| Superconducting junctions | p. 405 |
| Type II material | p. 410 |
| Bibliography | p. 415 |
| Index | p. 425 |
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