Charge instabilities and electron-phonon interaction in the Hubbard-Holstein model

Abstract

We consider the Hubbard-Holstein model in the adiabatic limit to investigate the effects of electron-electron interactions on the electron-phonon coupling. To this aim we compute at any momentum and filling the static charge susceptibility of the Hubbard model within the Gutzwiller approximation and we find that electron-electron correlations effectively screen the electron coupling to the lattice. This screening is more effective at large momenta and, as a consequence, the charge-density wave phase due to the usual Peierls instability of the Fermi surface momenta is replaced by a phase-separation instability when the correlations are sizable.

15 pages, 12 figures

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• Isotope effect and bond-stretching phonon anomaly in high-Tc cuprates
• Gutzwiller Magnetic Phase Diagram of the Cuprates
• Electron-phonon interaction in Strongly Correlated Systems
• Approximate solution of variational wave functions for strongly correlated systems: Description of bound excitons in metals and insulators
• Phase diagram of one-dimensional Hubbard-Holstein model at quarter-filling
• Gutzwiller Magnetic Phase Diagram of the Undoped t-t'-U Hubbard Model
• Correlated singlet phase in the one-dimensional Hubbard-Holstein model
• Phonon renormalization from local and transitive electron-lattice couplings in strongly correlated systems
• The Holstein-Hubbard Model at Half-filling : A Static Auxiliary Field Study
• Competing Correlated Insulators in multi-orbital systems coupled to phonons
• Influence of correlations on transitive electron-phonon couplings in cuprate superconductors
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects
• Study of supersolidity in the two-dimensional Hubbard-Holstein model
• Effective enhancement of the electron-phonon coupling driven by nonperturbative electronic density fluctuations
• Intertwined fluctuations and isotope effects in the Hubbard-Holstein model on the square lattice from functional renormalization
• Phase diagram of Hubbard-Holstein model on 4-leg tube system at quarter-filling