Front Cover -- Solid State Physics -- Copyright Page -- Contents -- Preface -- Chapter I. Electrons in one-dimensional periodic potentials -- 1 The Bloch theorem for one-dimensional periodicity -- 2 Energy levels in a periodic array of quantum wells -- 3 Electron tunneling and energy bands -- 4 The tight-binding approximation -- 5 Plane waves and nearly free-electron approximation -- 6 Some dynamical aspects of electrons in band theory -- Further reading -- Chapter II. Geometrical description of crystals: direct and reciprocal lattices -- 1 Simple lattices and composite lattices -- 2 Geometrical description of some crystal structures -- 3 Wigner-Seitz primitive cells -- 4 Reciprocal lattices -- 5 Brillouin zones -- 6 Translational symmetry and quantum mechanical aspects -- 7 Density-of-states and critical points -- Further reading -- Chapter III. The Sommerfeld free-electron theory of metals -- 1 Quantum theory of the free-electron gas -- 2 Fermi-Dirac distribution function and chemical potential -- 3 Electronic specific heat in metals and thermodynamic functions -- 4 Thermionic emission from metals -- Appendix A. Outline of statistical physics and thermodynamic relations -- A1. Microcanonical ensemble and thermodynamic quantities -- A2. Canonical ensemble and thermodynamic quantities -- A3. Grand canonical ensemble and thermodynamic quantities -- Appendix B. Fermi-Dirac and Bose-Einstein statistics for independent particles -- Appendix C. Modified Fermi-Dirac statistics in a model of correlation effects -- Further reading -- Chapter IV. The one-electron approximation and beyond -- 1 Introductory remarks on the many-electron problem -- 2 The Hartree equations -- 3 Identical particles and determinantal wavefunctions -- 4 Matrix elements between determinantal states -- 5 The Hartree-Fock equations.

6 Overview of approaches beyond the one-electron approximation -- 7 Electronic properties and phase diagram of the homogeneous electron gas -- 8 The density functional theory and the Kohn-Sham equations -- Appendix A. Bielectronic integrals among spin-orbitals -- Appendix B. Outline of second quantization formalism for identical fermions -- Appendix C. An integral on the Fermi sphere -- Further reading -- Chapter V. Band theory of crystals -- 1 Basic assumptions of the band theory -- 2 The tight-binding method (LCAO method) -- 3 The orthogonalized plane wave (OPW) method -- 4 The pseudopotential method -- 5 The cellular method -- 6 The augmented plane wave (APW) method -- 7 The Green's function method (KKR method) -- 8 Other methods and developments in electronic structure calculations -- Further reading -- Chapter VI. Electronic properties of selected crystals -- 1 Band structure and cohesive energy of rare-gas solids -- 2 Electronic properties of ionic crystals -- 3 Covalent crystals with diamond structure -- 4 Band structures and Fermi surfaces of some metals -- Further reading -- Chapter VII. Excitons, plasmons and dielectric screening in crystals -- 1 Exciton states in crystals -- 2 Plasmon excitations in crystals -- 3 General considerations on the longitudinal dielectric function -- 4 Static dielectric screening in metals with the Thomas-Fermi model -- 5 Static dielectric screening in metals with the Lindhard model -- 6 Dynamic dielectric screening in metals and plasmon modes -- 7 Quantum expression of the longitudinal dielectric function in materials -- 8 Quantum expression of the longitudinal dielectric function in crystals -- 9 Longitudinal dielectric function and energy-loss of a fast charged particle.

Appendix A. Lindhard dielectric function for the free-electron gas -- Further reading -- Chapter VIII. Interacting electronic-nuclear systems and the adiabatic principle -- 1 Electronic-nuclear systems and adiabatic potential-energy surfaces -- 2 Non-degenerate adiabatic surface and nuclear dynamics -- 3 Degenerate adiabatic surfaces and Jahn-Teller systems -- 4 The Hellmann-Feynman theorem and electronic-nuclear systems -- 5 Parametric Hamiltonians and Berry phase -- 6 Macroscopic electric polarization in crystals and Berry phase -- Further reading -- Chapter IX. Lattice dynamics of crystals -- 1 Dynamics of monatomic one-dimensional lattices -- 2 Dynamics of diatomic one-dimensional lattices -- 3 Dynamics of general three-dimensional crystals -- 4 Quantum theory of the harmonic crystal -- 5 Lattice heat capacity. Einstein and Debye models -- 6 Considerations on anharmonic effects and melting of solids -- 7 Optical phonons and polaritons in polar crystals -- Appendix A. Quantum theory of the Linear harmonic oscillator -- Further reading -- Chapter X. Scattering of particles by crystals -- 1 General considerations -- 2 Elastic scattering of X-rays from crystals -- 3 Inelastic scattering of particles and phonon spectra of crystals -- 4 Compton scattering and electron momentum density -- 5 Diffusion of particles by a single elastically-bound scatterer -- 6 Diffusion of particles by a crystal and effects of lattice vibrations -- 7 Mössbauer effect -- Further reading -- Chapter XI. Optical and transport properties in metals -- 1 Macroscopic theory of optical constants in homogeneous materials -- 2 The Drude theory of the optical properties of free carriers -- 3 Transport properties and Boltzmann equation -- 4 Static and dynamic conductivity in metals.

5 Boltzmann treatment and quantum treatment of intraband transitions -- 6 The Boltzmann equation in electric fields and temperature gradients -- Further reading -- Chapter XII. Optical properties of semiconductors and insulators -- 1 Quantum expression of the transverse dielectric function in materials -- 2 Quantum theory of band-to-band optical transitions and critical points -- 3 Indirect phonon-assisted transitions -- 4 Two-photon absorption -- 5 Exciton effects on the optical properties -- 6 Fano resonances and absorption lineshapes -- 7 Optical properties of vibronic systems -- Appendix A. Transitions rates at first and higher orders of perturbation theory -- Further reading -- Chapter XIII. Transport in intrinsic and homogeneously doped semiconductors -- 1 Fermi level and carrier density in intrinsic semiconductors -- 2 Impurity levels in semiconductors -- 3 Fermi level and carrier density in doped semiconductors -- 4 Thermionic emission in semiconductors -- 5 Non-equilibrium carrier distributions -- 6 Solutions of typical transport equations in uniformly doped semiconductors -- Further reading -- Chapter XIV. Transport in inhomogeneous semiconductors -- 1 Properties of the pn junction at equilibrium -- 2 Current-voltage characteristics of the pn junction -- 3 The bipolar junction transistor -- 4 The junction field-effect transistor (JFET) -- 5 Semiconductor heterojunctions -- 6 Metal-semiconductor contacts and MESFET transistor -- 7 The metal-oxide-semiconductor structure and MOSFET transistor -- Further reading -- Chapter XV. Electron gas in magnetic fields -- 1 Magnetization and magnetic susceptibiity -- 2 Energy levels and density-of-states of a free-electron gas in magnetic fields -- 3 Orbital magnetic susceptibility and de Haas-van Alphen effect.

4 Spin paramagnetism of a free-electron gas -- 5 Magnetoresistivity and classical Hall effect -- 6 The quantum Hall effect -- Appendix A. Free energy of an electron gas in a uniform magnetic field -- Appendix B. Generalized orbital magnetic susceptibility of the free-electron gas -- Further reading -- Chapter XVI. Magnetic properties of localized systems and Kondo impurities -- 1 Quantum mechanical treatment of magnetic susceptibility -- 2 Magnetic susceptibility of closed-shell systems -- 3 Permanent magnetic dipoles in atoms or ions with partially filled shells -- 4 Paramagnetism of localized magnetic moments -- 5 Localized magnetic states in normal metals -- 6 Dilute magnetic alloys and the resistance minimum phenomenon -- 7 Magnetic impurity in normal metals at very low temperatures -- Further reading -- Chapter XVII. Magnetic ordering in crystals -- 1 Ferromagnetism and the Weiss molecular field -- 2 Microscopic origin of the coupling between localized magnetic moments -- 3 Antiferromagnetism in the mean field approximation -- 4 Spin waves and magnons in ferromagnetic crystals -- 5 The Ising model with the transfer matrix method -- 6 The Ising model with the renormalization group theory -- 7 The Stoner-Hubbard itinerant electron model for magnetism -- Further reading -- Chapter XVIII. Superconductivity -- 1 Some phenomenolgical aspects of superconductors -- 2 The Cooper pair idea -- 3 Ground state for a superconductor in the BCS theory at zero temperature -- 4 Excited states of superconductors at zero temperature -- 5 Treatment of superconductors at finite temperature and heat capacity -- 6 Diamagnetism of superconductors and Meissner effect -- 7 Macroscopic quantum phenomena -- 8 Cooper pair tunneling between superconductors and Josephson effects -- Appendix A. The phonon-induced electron-electron interaction.

Further reading.