Effects of the electron-phonon coupling near and within the insulating Mott phase

Abstract

The role of the electron-phonon interaction in the Holstein-Hubbard model is investigated in the metallic phase close to the Mott transition and in the insulating Mott phase. The model is studied by means of a variational slave boson technique. At half-filling, mean-field static quantities are in good agreement with the results obtained by numerical techniques. By taking into account gaussian fluctuations, an analytic expression of the spectral density is derived in the Mott insulating phase showing that an increase of the electron-phonon coupling leads to a sensitive reduction of the Mott gap through a reduced effective repulsion. The relation of the results with recent experimental observations in strongly correlated systems is discussed.

arXiv comment4 pages, 4 figures

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• Interplay of charge, spin and lattice degrees of freedom on the spectral properties of the one-dimensional Hubbard-Holstein model
• Correlated singlet phase in the one-dimensional Hubbard-Holstein model
• Effective electron-phonon coupling and polaronic transition in the presence of strong correlation
• Interplay between electron-electron and electron-vibration interactions on the thermoelectric properties of molecular junctions
• Extended Gutzwiller wavefunction for the Hubbard-Holstein model
• Competing Correlated Insulators in multi-orbital systems coupled to phonons
• Study of supersolidity in the two-dimensional Hubbard-Holstein model
• Intertwined fluctuations and isotope effects in the Hubbard-Holstein model on the square lattice from functional renormalization
• On the role of local many-body interactions on the thermoelectric properties of fullerene junctions
• Phase diagram of Hubbard-Holstein model on 4-leg tube system at quarter-filling