Interplay of electron-phonon interaction and strong correlations: DMFT plus Σ study

We perform investigation of the 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.