Interplay of electron-phonon interaction and strong correlations: DMFT + Σ approach

@article{Sadovskii2009InterplayOE,
  title={Interplay of electron-phonon interaction and strong correlations: DMFT + $\Sigma$ approach},
  author={Mikhail V. Sadovskii and {\'E}. Z. Kuchinskii and Igor A. Nekrasov},
  journal={Journal of Physics and Chemistry of Solids},
  year={2009},
  volume={72},
  pages={366-370}
}
Abstract We discuss interaction of strongly correlated electrons (described within the Hubbard model solved by dynamical mean-field theory (DMFT)) with Debye and Einstein phonons using recently developed DMFT + Σ computational scheme. Electron–phonon 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… 
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