Electrons in Metals and Semiconductors

Part 1 The free electron model: the classical Drude theory; Fermin-Dirac statistics; the Sommerfeld model; the density of states. Part 2 Properties of free-electron solids: the electronic heat capacity; the magnetic susceptibility; transport properties; hall effect and magnetoresistance; relaxation effects - high-frequency conductivity; metals and semiconductors. Part 3 Crystal structures and the reciprocal lattice: crystal structures; the reciprocal lattice. Part 4 Electrons in a periodic potential: Bloch's theorem; the Brillouin zone; nearly free electrons. Part 5 Electronic band structures: the band structures of real metals; metals, semiconductors and insulators; density of states and heat capacity. Part 6 The potential V(r) - many-body effects: the one-electron approximation and the choice of V(r); many-body effects. Part 7 The dynamics of Bloch electrons: the velocity and the Lorentz force; orbits in a magnetic field; orbit quantization; the de Haas-van Alphen effect. Part 8 Collisions: scattering by static defects; Phonon scattering; relaxation times and mean free paths. Part 9 Electrical conductivity of metals: the basic expression for sigma; temperature dependence of sigma; Mattiessen's rule; the Kondo effect. Part 10 Metals in a temperature gradient: thermal conductivity; thermoelectric effects. Part 11 Magnetoresistance and Hall effect: basic ideas - the free-electron model; real metals. Part 12 Radio-frequency, optical and other properties: radio-frequency properties; optical and other properties. Part 13 Carriers in semiconductors: the number of carriers; donors and acceptors; carrier mobilities and positive holes. Part 14 Transport properties of semiconductors: scattering; simple transport properties; cyclotron resonance and optical properties; orbit quantization and the quantum Hall effect. Part 15 other topics: charge density waves; disordered alloys; localization. Appendices: The semi-classical Hamiltonian and the Schrodinger equation in a magnetic field; The Boltzmann equation and the collision integral; Problems; Answers to problems.