Quantum Many Body Systems and Strongly Correlated Electrons II

Advanced course given by Massimo Capone, Michele Fabrizio

Term: 2

Start: 03-02-2020 End: 17-03-2020 Room: 131

Credits: 4

Schedule: Mon 9:00 - 11:00, Tue 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. 

03/02 Path Integrals for many-particle quantum systems I
04/02 Path Integrals for many-particle quantum systems II
14/02 Superconductivity in the path-integral representation
17/02 The Landau Fermi-liquid theory: a short introduction
18/02 The Gutzwiller approximation
28/02 Slave particle theories: slave bosons and beyond. The Mott Transition
02/03 Dynamical Mean-Field Theory: overiew
03/03 Derivation of Dynamical Mean-Field Theory: The cavity method
09/03 DMFT for magnets, superconductors, inhomogeneous systems
10/03 The Mott transition in DMFT
16/03 How to solve DMFT. Impurity solvers
17/03 Multiorbital Hubbard models and the Hund's coupling