Section: Transport of noninteracting electrons: Sommerfeld model (Oct. 9, 11 and 12) | 997SM - FISICA DELLA MATERIA CONDENSATA I 2017 | Moodle@Units

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Section outline

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. Comparison between predictions of Drude and Sommerfeld model.
[Ashcroft-Mermin, Ch. 2]
Exercises
- Select activity Derivation of the DoS of the free electron gas
  
  Derivation of the DoS of the free electron gas File PDF
- Select activity Derivation of the Sommerfeld expansion for low T
  
  Derivation of the Sommerfeld expansion for low T File PDF
- Select activity 1D electron gas with periodic boundary conditions and with hard walls (text)
  
  1D electron gas with periodic boundary conditions and with hard walls (text) File PDF
- Select activity 1D electron gas with periodic boundary conditions and with hard walls (solution)
  
  1D electron gas with periodic boundary conditions and with hard walls (solution) File PDF
- Select activity 1D electron gas with periodic boundary conditions and with hard walls (figure)
  
  1D electron gas with periodic boundary conditions and with hard walls (figure) File PDF