Strongly Correlated Systems: from the Fermi-liquid theory to DMFT (and beyond)
Advanced Course given by Massimo Capone
Start Date
End Date
Tue: 11:00-13:00
Wed: 11:00-13:00


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


 11/03/2024An overview of the many-body problem for electrons. The Landau Fermi-liquid theory: a short reminder
 12/03/2024Path Integrals for many-particle quantum systems I
 18/03/2024Path Integrals for many-particle quantum systems II
19/03/2024The Gutzwiller approximation
 25/03/2024Slave particle theories: slave bosons and beyond. The Mott Transition
 26/03/2024Dynamical Mean-Field Theory: overview
 08/04/2024Derivation of Dynamical Mean-Field Theory: The cavity method
 09/04/2024DMFT for magnets, superconductors, inhomogeneous systems
 15/04/2024The Mott transition in DMFT
 16/04/2024How to solve DMFT. Impurity solvers
 22/04/2024Multiorbital Hubbard models and the Hund's coupling