Section: Transport of noninteracting electrons: Sommerfeld model (10, 12, 17 Oct. 2022) | 997SM - FISICA DELLA MATERIA CONDENSATA I 2022

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. [10 Oct 2022]
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
- Select activity Test on the Drude and Sommerfeld models for non interacting, independent and free electrons
  
  Test on the Drude and Sommerfeld models for non interacting, independent and free electrons Quiz
  
  Available until 28 October 2022, 11:55 PM