PhD program Coordinator: 
Alessandro Silva

Students' representative:
Ivan Pasqua

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 and its relation with high-temperature superconductivity and other quantum states of matter.  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 2025-2026, but the structure of the course is confirmed

 

 19/01/2026An overview of the many-body problem for electrons. The Landau Fermi-liquid theory: a short reminder
 12/03/2026Path Integrals for many-particle quantum systems I
 18/03/2026Path Integrals for many-particle quantum systems II
19/03/2026The Gutzwiller approximation
 25/03/2026Slave particle theories: slave bosons and beyond. The Mott Transition
 26/03/2026Dynamical Mean-Field Theory: overview
 08/04/2026Derivation of Dynamical Mean-Field Theory: The cavity method
10/04/2026A first trip in DMFT-land
 15/04/2026The Mott transition in DMFT
 16/04/2026How to solve DMFT. Impurity solvers
 22/04/2026Multiorbital Hubbard models and the Hund's coupling