Section: Transport of noninteracting electrons: Sommerfeld model (12, 14, 19, 21 Oct. 2020) | 997SM - FISICA DELLA MATERIA CONDENSATA I 2020 | 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.
Exercises.
[Ashcroft-Mermin, Ch. 2 - Exercises n. 1, 3, 4]
- 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