Strongly Correlated Systems: from the Fermi-liquid theory to DMFT (and beyond)
Advanced Course given by Massimo Capone
Term
3
Credit
4
Start Date
End Date
Room
131
Schedule
Mon: 11:00-13:00
Wed: 9:00-11:00
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
The timetable is not yet updated for the academic year 2024-2025, but the structure of the course is confirmed
| 11/03/2024 | An overview of the many-body problem for electrons. The Landau Fermi-liquid theory: a short reminder |
| 12/03/2024 | Path Integrals for many-particle quantum systems I |
| 18/03/2024 | Path Integrals for many-particle quantum systems II |
| 19/03/2024 | The Gutzwiller approximation |
| 25/03/2024 | Slave particle theories: slave bosons and beyond. The Mott Transition |
| 26/03/2024 | Dynamical Mean-Field Theory: overview |
| 08/04/2024 | Derivation of Dynamical Mean-Field Theory: The cavity method |
| 09/04/2024 | DMFT for magnets, superconductors, inhomogeneous systems |
| 15/04/2024 | The Mott transition in DMFT |
| 16/04/2024 | How to solve DMFT. Impurity solvers |
| 22/04/2024 | Multiorbital Hubbard models and the Hund's coupling |