Strongly Correlated Systems: from the Fermi-liquid theory to DMFT (and beyond)

Advanced course given by Massimo Capone

Term: 0

Start: 08-03-2022 End: 13-04-2022 Room: 131

Credits: 4

Schedule: Tue 11:00 - 13:00, Wed 11:00 - 13:00

Program

The course will address the physics of strongly correlated many-body systems and it will be centered around the solutions of the Hubbard model with a particular emphasis on the Mott-Hubbard metal-insulator transition.  In case of request, an extra 2-credit module can be activated.

The exam is a 30' seminar typically based on a few papers complementing the topic of the course

 

 08/03/2022 Path Integrals for many-particle quantum systems I
 09/03/2022 Path Integrals for many-particle quantum systems II
 15/03/2022 Superconductivity in the path-integral representation
16/03/2022 The Landau Fermi-liquid theory: a short reminder
 22/03/2022 The Gutzwiller approximation
 23/03/2022 Slave particle theories: slave bosons and beyond. The Mott Transition
 29/03/2022 Dynamical Mean-Field Theory: overiew
 30/03/2022 Derivation of Dynamical Mean-Field Theory: The cavity method
 05/04/2022 DMFT for magnets, superconductors, inhomogeneous systems
 06/04/2022 The Mott transition in DMFT
 12/04/2022 How to solve DMFT. Impurity solvers
 13/04/2022 Multiorbital Hubbard models and the Hund's coupling