Quantum Many Body Systems and Strongly Correlated Electrons I

Basic course given by Massimo Capone

Term: 1

Start: 05-10-2021 End: 19-11-2021 Room: 131

Credits: 3

Schedule: Tue 11:00 - 13:00, Wed 11:00 - 13:00

Program

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. 

 

5/10/2021 A brief reminder of second quantization
6/10/2021 The Hubbard model. Derivation and simple limits
12/10/2021 Weak and strong coupling limits of the Hubbard model
13/10/2021 Strong-coupling expansion. Theory and the tJ model
19/10/2021 Spin-waves for the Heisenberg model
20/10/2021 Hartree-Fock approximation. 
26/10/2021 Finite-temperature Hartree-Fock method
8/11/2021 A nice and useful trick: mapping repulsive and attractive Hubbard models
9/11/2021 Superconductivity. BCS theory as a mean-field
11/11/2021 Superconductivity. Beyond BCS with simple tools. BCS/BEC crossover
17/11/2021 The phase diagram of the Hubbard model from simple methods I
 17/11/2021  The phase diagram of the Hubbard model from simple methods II
   
   
   
   
   
   
   

 

Online resources

Filename Size Date Modified
manybody.pdf 2.36 MB 2017-09-19 15:32:38