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4

Day 4

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
4.txt · Last modified: 2020/03/06 09:14 by 127.0.0.1