Program
Updated for Academic Year 2025-2026
This is the first half of the basic many-body course. The second half is held by Michele Fabrizio right after the end of these lectures.
The basic course introduces some of the main standard tools to study many-particles systems in the concrete case of the Hubbard model and for the study of superconductivity and magnetism.
The course has also a follow-up -- after the second part of the basic course-- which enters in the more advanced aspects of the theory of strongly correlated electron system and its relation with high-Tc superconductivity and more recent discoveries.
Here follows the list of lectures. Note some "deviations" from the standard schedule. The last two lectures are "bonus" lectures whose topic and schedule can be arranged during the course
| 3/10/2025 | A brief reminder of second quantization |
| 6/10/2025 | The Hubbard model. Derivation and simple limits |
| 8/10/2025 | Weak and strong coupling limits of the Hubbard model |
| 10/10/2025 | Strong-coupling expansion and the tJ model |
| 13/10/2025 | Spin-waves for the Heisenberg model |
| 15/10/2025 | Linear-Response Theory |
| 16/10/2025 | Hartree-Fock approximation |
| 27/10/2025 | Finite-temperature Hartree-Fock method |
| 28/10/2025 | A nice and useful trick: mapping repulsive and attractive Hubbard models |
| 10/11/2025 | Superconductivity. BCS theory as a mean-field |
| 12/11/2025 | The phase diagram of the Hubbard model from simple methods I |
| 14/11/2025 | The phase diagram of the Hubbard model from simple methods II |
| TBD | Bonus lecture 1 |
| TBD | Bonus lecture 2 |