Olivier Parcollet (IPhT)
The goal of this set of lectures is to provide an introduction to some current themes of research in quantum many-body theory in condensed matter physics. The lectures will be primarily aimed at a non-specialist audience and I will try to emphasize the main results and open questions, while minimizing the technical derivations.
The tentative plan is :
- Introduction to strongly correlated systems.
- From Fermi liquids to Mott insulators.
- Examples of Mott insulators in solid state and atomic physics.
- Doping a Mott insulator : the example of high-temperature superconductors.
- Quantum impurity models in equilibrium.
- Kondo and Anderson models. Kondo effect.
- Methods of solutions of quantum impurity models.
- Introduction to Dynamical Mean Field Theory and its applications.
- Quantum impurity models out-of-equilibrium.
- Schwinger-Keldysh formalism.
- Illustration on simple examples.
- Wingreen-Meir formula. Kondo effect in quantum dots.