# 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…

## 5 Citations

Generalized dynamical mean-field theory in the physics of strongly correlated systems

- Physics
- 2011

This review discusses the generalization of dynamical mean-field theory (DMFT) for strongly correlated electronic systems to include additional interactions necessary for the correct description of…

Coupling of Hubbard fermions with phonons in La2 CuO4: A combined study using density-functional theory and the generalized tight-binding method

- Physics
- 2015

Abstract We present results for the electron-phonon interaction of the Γ-point phonons in the tetragonal high-temperature phase of La2 CuO4 obtained from a hybrid scheme, combining density-functional…

Effect of Short-Range Correlations on Spectral Properties of Doped Mott Insulators

- PhysicsJournal of Superconductivity and Novel Magnetism
- 2018

In the framework of the cluster perturbation theory for the 2D Hubbard and Hubbard-Holstein models at low hole doping, we have studied the effect of local and short-range correlations in strongly…

Full momentum- and energy-resolved spectral function of a 2D electronic system

- Physics, MedicineScience
- 2017

A high-resolution method for measuring the full momentum- and energy-resolved electronic spectral function of a two-dimensional (2D) electronic system embedded in a semiconductor is demonstrated and signatures of many-body effects involving electron-phonon interactions, plasmons, polarons, and a phonon analog of the vacuum Rabi splitting in atomic systems are uncovered.

Electron–Phonon Renormalization of the Electron Mass in a Metal beyond the Adiabatic Approximation

- Journal of Experimental and Theoretical Physics
- 2021

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