====== Day 4 ====== Reading: Kittel Appendix F (BTE); A&M Ch 13,16 {{::bte_slides.pdf|Slides}} Summary: * Boltzmann transport equation * BTE with electric field (quantitative - shifts Fermi sphere; elec conductivity for hwk) * BTE with temperature gradient (qualitative - blurs Fermi sphere on one side - thermal conductivity) * BTE with both (qualitative - thermopower and Peltier) * Phonon review. Classical oscillations - longitundinal, transverse; acoustic, optical; Quantum states - phonon number & BE occupation function * Relaxation mechanisms for electrical and thermal conductivity Next time * Fermi Golden Rule for scattering probability. Transition matrix element for electron-phonon interaction. Conservation of momentum/energy. Scattering probability. * Impurity scattering. Matthiessen's rule. (Nordheim) * Temperature dependence of the electrical and thermal resistivity of metals