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

Advanced course given by Massimo Capone

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. The schedule is updated with the tentative dates for the 2020/2021 academic year. In case of request, an extra 2-credit module can be activated.

 

01/03/2021	Path Integrals for many-particle quantum systems I
03/03/2021	Path Integrals for many-particle quantum systems II
08/03/2021	Superconductivity in the path-integral representation
10/03/2021	The Landau Fermi-liquid theory: a short reminder
15/03/2021	The Gutzwiller approximation
17/03/2021	Slave particle theories: slave bosons and beyond. The Mott Transition
29/03/2021	Dynamical Mean-Field Theory: overiew
31/03/2021	Derivation of Dynamical Mean-Field Theory: The cavity method
12/04/2021	DMFT for magnets, superconductors, inhomogeneous systems
14/04/2021	The Mott transition in DMFT
19/04/2021	How to solve DMFT. Impurity solvers
21/04/2021	Multiorbital Hubbard models and the Hund's coupling

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