Dynamical mean field approach to correlated lattice systems

Abstract: Over the past 25 years, the dynamical mean field (DMFT) formalism has been extended from fermionic Hubbard-type models to realistic multi-band materials, bosonic lattice systems and even quantum field theories. It has also been developed into a powerful and versatile tool for the study of nonequilibrium phenomena in correlated lattice models. I will provide an overview of the key developments in the field and explain the most recent addition to the DMFT family - the DMFT treatment of quantum field theories. In the second part of the talk I will discuss an extension of DMFT to systems with dynamically screened interactions and explain how it can be incorporated into an ab-initio framework.