Seminarium Fizyki Materii Skondensowanej

In my presentation, building upon simplest Gutzwiller ansatz, I am going to introduce two methods that can accurately describe strongly correlated fermion systems with a very low numerical effort in comparison to established, rigorous many-body tolls. First, I am going to present diagrammatic expansion of Gutzwiller wave function technique capturing finite-dimensional effects of many-body interactions and demonstrate its performance on concrete examples of topological Kondo insulators and heavy fermion superconductors. Second, I am going to present Gutzwiller wave function combined with a variational Schrieffer-Wolff transformation for a description of Mott transition and its out-of-equilibrium counterpart, dynamical Mott transition.