Interplay of electron-phonon interaction and strong correlations: DMFT+Sigma study

We perform investigation of Hubbard model with interaction between strongly correlated conducting electrons on a lattice with Debye phonons. To solve the problem generalized dynamical mean-field DMFT+\Sigma method is employed with "external" self-energy \Sigma_ph corresponding to electron-phonon interaction. We present DMFT+\Sigma_ph results for densities of states and kinks in energy dispersions for a variety of model parameters, analyzing the interplay of recently discovered kinks of purely electronic nature and usual phonon kinks in the electronic spectrum.