Solid State Theory

Preface I SOLID TYPES AND SYMMETRY 1 Crystal Structures 2 Symmetry of Crystals 3 Physical Tensors 4 Symmetry Arguments and Group Theory 4.1 Groups 4.2 Representations 4.3 Equivalent representations 4.4 Symmetry degeneracies 4.5 Orthogonality relation 4.6 Characters 4.7 Reduction of representations 5 Applications of Group Theory 5.1 Lowering of symmetry 5.2 Vibrational states 5.3 The translation group-one dimension II ELECTRON STATES 1 The Structure of the Bands 2 Electron Dynamics 3 The Self-Consistent-Field Approximation 3.1 The Hartree approximation 3.2 The Hartree-Fock approximation 3.3 Free-electron exchange 3.4 Koopman's theorem 3.5 The crystal potential 4 Energy-Band Calculations 4.1 The cellular method 4.2 The plane-wave method 4.3 The orthogonalized-plane-wave method 4.4 The augmented-plane-wave method 4.5 The symmetry of the energy bands 4.6 Calculated energy bands 5 Simple Metals and Pseudopotential Theory 5.1 The pseudopotential 5.2 The model-potential method 5.3 Free-electron bands 5.4 The diffraction approximation 5.5 One-OPW Fermi surfaces 5.6 Experimental studies of Fermi surfaces 5.7 Multile-OPW Fermi surfaces 6 Semiconductor and Semimetal Bands 6.1 k * p method and effectiveness-mass theory 6.2 Dynamics of electrons and holes in semiconductors 6.3 Semimetals 7 Insulator Bands 7.1 The tight-binding approximation 7.2 Bands and binding in ionic crystals 7.3 Polarons and self-trapped electrons 7.4 The Mott transition and molecular solids 7.5 Excitons 7.6 Wannier functions 8 Impurity States 8.1 Tight-blinding description 8.2 Donor and acceptor levels in semiconductors 8.3 Quantum theory of surface states and impurity states 8.4 Phase-shift analysis 8.5 Scattering resonances 8.6 Electron scattering by impurities 9 Transittion-Metal Bands 9.1 Transition-metal pseudopotentials 9.2 The energy bands 9.3 Peturbation theory and properties 10 Electronic Structure of Liquids 10.1 Simple metals 10.2 Insulators and semiconductors 10.3 Description in terms of one-electron Green's functions Appendix on Green's functions 10.4 Resistivity in liquid metals III ELECTRONIC PROPERTIES 1 Thermodynamic Properties 1.1 The electronic specific heat 1.2 The diamagnetic susceptibility of free electrons 1.3 Pauli paramagnetism 2 Transport Properties 2.1 The Boltzmann equation 2.2 Electrical conductivity 2.3 The Hall effect 2.4 Thermal and thermoelectric effects 2.5 Electron tunneling 3 Semiconductor Systems 3.1 The p-n junction 3.2 The tunnel diode 3.3 The Gunn effect 4 Screening 4.1 Classical theory of simple metals 4.2 Limits and applications of the dielectric function 4.3 Quantum theory of screening 4.4 Screening of pseudopotentials and of hybridization 4.5 The inclusion of exchange and correlation 5 Optical Properties 5.1 The penetration of light in a metal 5.2 The optical conductivity 5.3 Simple metals 5.4 Interband absorption 5.5 Photoelectric emission 5.6 Color centers and the Franck-Condon principle 5.7 X-ray spectroscopy 5.8 Many-body effects 5.9 Lasers 6 Landau Theory of Fermi Liquids 7 Amorphous Semiconductors IV LATTICE VIBRATIONS AND ATOMIC PROPERTIES 1 Calculation with Force Constants 1.1 Application to the simple cubic structure 1.2 Two atoms per primitive cell 2 Phonons and the Lattice Specific Heat 3 Localized Modes 4 Electron-Phonon Interactions 4.1 Classical theory Ionic crystals Semiconductors Simple metals 4.2 Second quantization Electron states Phonon states Phase coherence and off-diagonal long-range order Ther interaction 4.3 Applications Electron scattering Electron self-energy The electron-electron interaction 4.4 The Mossbauer effect 5 Pseudopotentials and Phonon Dispersion 5.1 The total energy 5.2 Calculation of vibration spectra 5.3 The Bohn-Staver formula 5.4 Kohn anomalies 6 Interatomic Forces and Atomic Properties 6.1 Stability of metallic structures 6.2 The effective interaction between ions 6.3 Atomic properties of insulators and semiconductors 6.4 Dislocations V COOPERATIVE PHENOMENA A MAGNETISM 1 Exchange 2 Band Ferromagnetism 3 Spin Operators 4 Heisenberg Exchange 5 The Molecular-Field Approximation and the Ferromagnetic Transition 6 Inhomogeneities 6.1 Bloch walls 6.2 Spin waves 7 Local Moments 7.1 The formation of local moments 7.2 The Ruderman-Kittel Interaction The s-d interaction Interaction between moments 7.3 The Kondo effect B SUPERCONDUCTIVITY 8 Cooper Pairs 9 Bardeen-Cooper-Schrieffer (BCS) Theory 9.1 The ground state 9.2 Excited states 9.3 Experimental consequences Persistent currents Giaever tunneling 9.4 The superconducting wavefunction or order parameter 9.5 The Josephson effect 10 The Ginsburg-Landau Theory 10.1 Evaluation of the free energy 10.2 The Ginsburg-Landau equations 10.3 Applications of the Ginsburg-Landau theory Zero-field solutions Nonuniform systems Applied magnetic fields 10.4 Flux quantization &n