Interplay of electronphonon interaction and strong correlations: DMFT + Σ approach
Abstract
We discuss interaction of strongly correlated electrons (described within the Hubbard model solved by dynamical meanfield theory (DMFT)) with Debye and Einstein phonons using recently developed DMFT + Σ computational scheme. Electronphonon interaction (EPI) is analyzed in adiabatic approximation (assuming the validity of Migdal theorem), allowing the neglect of EPI vertex corrections. This approach is valid for EPI coupling constant λ <ɛ_{F} /ω_{ph} ∼ 10, where ɛ_{F} is Fermi energy and ω_{ph} is Debye or Einstein frequency. For moderate values of λ only small changes in the electronic density of states are observed in DMFT + Σ approximation for both weakly and strongly correlated metallic regimes. Metalinsulator (Mott) transition due to the increase of Hubbard interaction U is slightly inhibited by EPI. Our main aim is to discuss the interplay of "kinks" in electronic dispersion due to EPI and recently discovered kinks of electronic origin. For the certain region of model parameters coexistence of phonon "kinks" in electronic dispersion with purely electronic "kinks" is readily observed and we formulate some simple criteria of such coexistence. However, for most general combinations of model parameters phonon "kinks" make electronic "kinks" hardly observable. In the general case an increase of Hubbard interaction U rapidly suppresses the slope of electronic dispersion within the phonon "kink." These results are important for deeper understanding of the shape and evolution of electronic dispersions in strongly correlated systems such as copper oxides, where different kinds of "kinks" were recently observed in ARPES experiments.
 Publication:

Journal of Physics and Chemistry of Solids
 Pub Date:
 May 2011
 DOI:
 10.1016/j.jpcs.2010.10.082
 arXiv:
 arXiv:1006.0294
 Bibcode:
 2011JPCS...72..366S
 Keywords:

 D. Electronic structure;
 D. Lattice dynamics;
 D. Phonons;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 4 pages, 4 figures, SNS2010 Proceedings (2428 May 2010, Shanghai, China)