Periodic Structures / Chapter 1.: |
Translational symmetry / 1.1: |
Periodic functions / 1.2: |
Properties of the reciprocal lattice / 1.3: |
Bloch's theorem / 1.4: |
Reduction to a Brillouin zone / 1.5: |
Boundary conditions: counting states / 1.6: |
Lattice Waves / Chapter 2.: |
Lattice dynamics / 2.1: |
Properties of lattice waves / 2.2: |
Lattice sums / 2.3: |
Lattice specific heat / 2.4: |
Lattice spectrum / 2.5: |
Diffraction by an ideal crystal / 2.6: |
Diffraction by crystal with lattice vibrations / 2.7: |
Phonons / 2.8: |
The Debye--Waller factor / 2.9: |
Anharmonicity and thermal expansion / 2.10: |
Phonon--phonon interactio / 2.11: |
Vibrations of imperfect lattices / 2.12: |
Electron States / Chapter 3.: |
Free electrons / 3.1: |
Diffraction of valence electrons / 3.2: |
The nearly-free-electron model / 3.3: |
The tight-binding method / 3.4: |
Cellular methods / 3.5: |
Orthogonalized plane waves / 3.6: |
Augmented plane waves / 3.7: |
The Green function method / 3.8: |
Model pseudo-potentials / 3.9: |
Resonance bands / 3.10: |
Crystal symmetry and spin-orbit interaction / 3.11: |
Static Properties of Solids / Chapter 4.: |
Types of solid: band picture / 4.1: |
Types of solid: bond picture / 4.2: |
Cohesion / 4.3: |
Rigid band model and density of states / 4.4: |
Fermi statistics of electrons / 4.5: |
Statistics of carriers in a semiconductor / 4.6: |
Electronic specific heat / 4.7: |
Electron--Electron Interaction / Chapter 5.: |
Perturbation formulation / 5.1: |
Static screening / 5.2: |
Screened impurities and neutral pseudo-atoms / 5.3: |
The singularity in the screening: Kohn effect / 5.4: |
The Friedel sum rule / 5.5: |
Dielectric constant of a semiconductor / 5.6: |
Plasma oscillations / 5.7: |
Quasi-particles and cohesive energy / 5.8: |
The Mott transition / 5.9: |
Dynamics of Electrons / Chapter 6.: |
General principles / 6.1: |
Wannier functions / 6.2: |
Equations of motion in the Wannier representation / 6.3: |
The equivalent Hamiltonian: impurity levels / 6.4: |
Quasi-classical dynamics / 6.5: |
The mass tensor: electrons and holes / 6.6: |
Excitons / 6.7: |
Zener breakdown: tunnelling / 6.8: |
Electrons at a surface / 6.9: |
Scattering of electrons by impurities / 6.10: |
Adiabatic principle / 6.11: |
Renormalization of velocity of sound / 6.12: |
The electron--phonon interaction / 6.13: |
Deformation potentials / 6.14: |
Transport Properties / Chapter 7.: |
The Boltzmann equation / 7.1: |
Electrical conductivity / 7.2: |
Calculation of relaxation time / 7.3: |
Impurity scattering / 7.4: |
'Ideal' resistance / 7.5: |
Carrier mobility / 7.6: |
General transport coefficients / 7.7: |
Thermal conductivity / 7.8: |
Thermo-electric effects / 7.9: |
Lattice conduction / 7.10: |
Phonon drag / 7.11: |
The Hall effect / 7.12: |
The two-band model magneto-resistance / 7.13: |
Optical Properties / Chapter 8.: |
Macroscopic theory / 8.1: |
Dispersion and absorption / 8.2: |
Optical modes in ionic crystals / 8.3: |
Photon--phonon transitions / 8.4: |
Interband transitions / 8.5: |
Interaction with conduction electrons / 8.6: |
The anomalous skin effect / 8.7: |
Ultrasonic attenuation / 8.8: |
The Fermi Surface / Chapter 9.: |
High magnetic fields / 9.1: |
Cyclotron resonance / 9.2: |
High-field magneto-resistance / 9.3: |
Open orbits / 9.4: |
Magneto-acoustic oscillations / 9.5: |
Quantization of orbits / 9.6: |
The de Haas--van Alphen effect / 9.7: |
Magneto-optical absorption / 9.8: |
Magnetic breakdown / 9.9: |
Magnetism / Chapter 10.: |
Orbital magnetic susceptibility / 10.1: |
Spin paramagnetism / 10.2: |
The Curie--Weiss Law and ferromagnetism / 10.3: |
Exchange interaction / 10.4: |
Band ferromagnetism / 10.5: |
Magnetic impurities / 10.6: |
Antiferromagnetism / 10.7: |
The Ising model / 10.8: |
Combinatorial method / 10.9: |
Exact solutions of the Ising problem / 10.10: |
Spin waves / 10.11: |
The antiferromagnetic ground state / 10.12: |
Superconductivity / Chapter 11.: |
The attraction between electrons / 11.1: |
Cooper pairs / 11.2: |
The superconducting ground state / 11.3: |
Quasi-particles and the energy gap / 11.4: |
Temperature dependence of the energy gap / 11.5: |
Persistent currents / 11.6: |
The London equation / 11.7: |
The coherence length / 11.8: |
Off-diagonal long range order / 11.9: |
Superconducting junctions / 11.10: |
Type II material / 11.11: |
Bibliography |
Index |
Periodic Structures / Chapter 1.: |
Translational symmetry / 1.1: |
Periodic functions / 1.2: |