Dynamical Screening Effect on Local Two-Particle Vertex Functions

In principle, the electronic Coulomb interaction among the correlated orbitals is frequency-dependent. Though it is generally believed that the dynamically screened interaction may play a crucial role in understanding the subtle electronic structures of strongly correlated materials, hitherto we know very little about it. In the Letter, we demonstrate that within the framework of single-site dynamical mean-field theory the local two-particle Green's functions $\chi$ and vertex functions $\Gamma$ are strongly modified by the dynamically screened interaction. Since both $\chi$ and $\Gamma$ represent the main ingredients to compute momentum-resolved response functions and to treat non-local spatial correlations by means of diagrammatic extensions of dynamical mean-field theory, it is urgent to reexamine previous results by taking the dynamical screening effect into account. The modifications should be very considerable.