Hartree-Fock for multiband superconductors or for multiorbital Hubbard models

given by Massimo Capone

Term: 0

Start: 11-01-2021 End: 26-02-2021 Room: Online

Credits: 3

Schedule: TBA


The aim of the course is to become familiar with methods and concepts of strongly correlated electrons and superconductors through a practical implementation of some of the methods presented in the basic course to more involved models motivated by recent research on materials and quantum simulators with cold atoms. 

According the number of participants, I will propose one or two problems about multi-orbital quantum systems. 

1) Two-band superconductors. I will introduce the main changes of the theory of superconductivity when more than one band is relevant, a situation which is relevant to a class of iron-based superconductors, and I will propose a problem about the competing phases of a model with on-site attractive interactions, playing with linear-response theory and mean-field theory.

2) Two-orbital insulators. I will introuduce the physics of multiorbital Hubbard model and propose a problem about the phase diagram of a two-orbital model as a function of the different interaction parameters (Hubbard U and local exchange J) playing with linear-response theory and mean-field theory.