# Mikhail Baranov's MiniCourse on Normal and Superfluid Fermi Systems

### From GICC

Dr. Mikhail Baranov of the University of Innsbruck, Austria will give a minicourse entitled "Introduction to normal and superfluid Fermi systems ".

The schedule will be the following :

- Wednesday (February the 20th) at 14h30
- Thursday (February the 21th) at 14h30
- Friday (February the 22th) at 14h30
- Monday (February the 25th) at 14h30
- Tuesday (February the 26th) at 12h00 (N.B.!)

Room: Seminar room Física Teórica I – 3ª Planta

Outline of the minicourse

- Degenerate Fermi gas: particle distribution function, Fermi energy, Fermi momentum, excitations.
- Thermodynamics of the Fermi gas.
- Interaction in Fermi gases. Repulsive weakly interacting two-component Fermi gas (normal Fermi gas). Basics of the Landau Fermi-liquid theory. Landau zero sound.
- Two-component Fermi gas with an attractive interaction. Cooper instability.
- BCS Hamiltonian and Bogoliubov transformation. Critical temperature. Single-particle excitations. Gap equation. Thermodynamics.
- Comparison between normal and superfluid Fermi gases.
- Effective Landau-Ginzburg description. Josephson current. Vortices. Andreev reflection.
- Collective modes (Bogoliubov sound).
- Ideas of Migdal-Eliashberg theory.