Quantum Processes in Semiconductors

Part 1 Band structure of semiconductors: the crystal Hamiltonian; adiabatic approximation; phonons; the one-electron approximation; Bloch functions; nearly-free-electron model; energy gaps; spin-orbit coupling and orbital characteristics; band structures; chemical trends; k.p perturbation and effective mass; temperature dependence of energy gaps; deformation potentials; alloys. Part 2 Energy levels: the effective-mass approximation; electron dynamics; Zener-Bloch oscillations; Landau levels; plasma oscillations; excitons; hydrogenic impurities; hydrogen molecule centres; core effects; deep-level impurities; scattering states; impurity bands. Part 3 Lattice scattering: general features; energy and momentum conservation; acoustic phonon scattering; optical phonon scattering; polar optical mode scattering; piezoelectric scattering; scattering-induced electron mass; mobilities; appendix - acoustic waves in the diamond lattice. Part 4 Impurity scattering: general features; charged-impurity scattering; neutral-impurity scattering; central-cell contribution to charged-impurity scattering; dipole scattering; electron-hole scattering; electron-electron scattering; mobilities; appendix - Debye screening length, average separation of impurities, alloy scattering. Part 5 Radiative transitions: transition rate; photo-ionization and radiative capture cross-section; wavefunctions; direct interband transitions; photo-deionization of a hydrogenic acceptor; photo-ionization of a hydrogenic donor; photo-ionization of quantum-defect impurities; photo-ionization of deep-level impurities; summary of photo-ionization cross-sections; indirect transitions; indirect interband transitions; free-carrier absorption; free-carrier scattering of light; appendix - justification of effective-mass approximation in light scattering. Part 6 Non-radiative processes: electron-lattice coupling; the configuration co-ordinate diagram; semi-classical thermal generation rate; thermal broadening of radiative transitions; thermal generation and capture rates; electron-lattice coupling strength; selection rules for phonon-impurity coupling; phonon-cascade capture; the Auger effect; impact ionization; appendix - the multiphonon matrix element. Part 7 Quantum processes in a magnetic field: introduction; collision-free situation; collision-induced current; scattering mechanisms; transverse Shubnikov-de Haas oscillations; longitudinal Shubnikov-de Haas oscillations; magnetophonon oscillations. Part 8 Scattering in a degenerate gas: general equations; elastic collisions; acoustic phonon scattering; energy relaxation time. Part 9 Dynamic screening: introduction; polar optical modes; plasma modes; coupled modes; the Lindhard dielectric function; fluctuations; screening regimes.