Quantum Many Body Systems and Strongly Correlated Electrons I
Basic course given by Massimo Capone
Start: 01-10-2020 End: 18-12-2020 Room: 131
Schedule: Tue 14:00 - 16:00, Thu 9:00 - 11:00
This is the website for the first half of the "basic" many-body course. The course has also a follow-up which develops more deeply the theory of strongly correlated electron system and its relation with high-Tc superconductivity.
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.
Here follows the list of lectures. One/two extra lecture with applications will be scheduled during the course to meet the students' needs.
|6/10||A brief reminder of second quantization|
|8/10||The Hubbard model. Derivation and simple limits|
|13/10||The Hartree-Fock approximation|
|15/10||Linear Response theory. Application to antiferromagnetism in the Hubbard model|
|20/10||Hartree-Fock and the antiferromagnetic phase of the Hubbard model|
|22/10||Strong-coupling expansion. Theory and the tJ model|
|27/10||A nice and useful trick: mapping repulsive and attractive Hubbard models|
|29/10||Superconductivity. BCS theory as a mean-field|
|5/11||Superconductivity. Beyond BCS with simple tools. BCS/BEC crossover|
|10/11||The phase diagram of the Hubbard model from simple methods|
|12/11||Multiorbital Hubbard models (TBD)|
|manybody.pdf||2.36 MB||2017-09-19 15:32:38|