Section: Transport of noninteracting electrons: Sommerfeld model (11, 13, 18, 20 Oct. 2021) | 997SM - FISICA DELLA MATERIA CONDENSATA I 2021

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
- Select activity Solution of ex. 1 - 11 April 2007 (current from positive and negative charges - resistivity tensor - see also ex. A&M 12.4)
  
  Solution of ex. 1 - 11 April 2007 (current from positive and negative charges - resistivity tensor - see also ex. A&M 12.4) File PDF
- Select activity Test - quiz
  
  Test - quiz
  
  Available until 19 December 2021, 11:55 PM