Self-consistent GW combined with single-site dynamical mean field theory for a Hubbardmodel

Abstract

We combine the single-site dynamical mean field theory (DMFT) with the non-local GWmethod. This is done fully self-consistently and we apply our formalism to a one-bandHubbard model. Eventually at self-consistency the full self-energy and polarizationoperator of the system are retrieved. Some numerical results, in the metallic as well as theinsulator regime, are presented and briefly discussed. Depending on the involved interaction(GW) parameters, substantial changes are found when the GW self-energy is incorporated.However, the main point of this work is to demonstrate the applicability of themethod, not to make any strict comparison with exact results and experiments.