Reading: Kittel Appendix F (BTE); A&M Ch 13,16
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