4
Day 4
Reading: Kittel Appendix F (BTE); A&M Ch 13,16
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
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