Effective electron-phonon coupling and polaronic transition in the presence of strong correlation

2005/09/30 by P. Barone, Paolo Barone, R. Raimondi +4 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.73.085120

published as Phys. Rev. B 73, 085120 (2006) · 6 pages, 2 figures

openalex publication_date 2006/02/28 · arxiv created 2006/03/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Hubbard-Holstein model using slave-boson mean-field and a variational Lang-Firsov transformation. We identify weak and strong e-ph coupling solutions, whose stability depends both on the bare e-ph coupling and on the correlation strength. At mean field level the evolution from weak to strong electron-phonon coupling occurs via a first-order polaronic transition if the adiabatic parameter is below a critical value. In the strongly correlated regime and in the adiabatic limit, the region in which the weak-coupling solution is stable is sizeably enlarged with respect to the weakly correlated system and the Mott metal-insulator transition is found to be robust with respect to e-ph interaction.

Citations

• Dynamical mean-field theory of the Hubbard-Holstein model at half filling: Zero temperature metal-insulator and insulator-insulator transitions
• Phase Separation Close to the Density-Driven Mott Transition in the Hubbard-Holstein Model
• Renormalization of the electron-phonon coupling in the one-band Hubbard model
• Electron-Phonon Interaction Close to a Mott Transition

Cited by

• Relevance of phonon dynamics in strongly correlated systems coupled to phonons: Dynamical mean-field theory analysis