2. Transport of noninteracting electrons: Sommerfeld model (4(1h), 5, 6 and 20 Oct. 2023)
Section outline
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Fermi-Dirac distribution. Ground state of free and indep. electron gas; Fermi momentum; energy; temperature; prediction for the pressure exerted by electrons, bulk modulus and comparison with experiments.
Integrals in energy and k space: density of states (see also these notes). Chemical potential. Use of Sommerfeld expansion; electronic contribution to the specific heat.
Exercises.
[Ashcroft-Mermin, Ch. 2 - Exercises n. 1, 3, 4]
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Test on the Drude and Sommerfeld models for non interacting, independent and free electrons Quiz
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