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

2008/06/20 by A. Di Ciolo, Andrea Di Ciolo, J. Lorenzana +2
Materials Science · Physics and Astronomy · #Adiabatic process #Charge (physics) #Charge density wave #Condensed matter physics #Coupling (piping) #Electron #Fermi surface #Hubbard model #Instability #Materials science #Momentum (technical analysis) #Organic and Molecular Conductors Research #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Random phase approximation #Superconductivity #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.79.085101

15 pages, 12 figures

arxiv created 2008/06/20 · openalex publication_date 2009/02/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Interplay of electron–lattice interactions and superconductivity in Bi2Sr2CaCu2O8+δ
• Electron-Phonon Interaction and Antiferromagnetic Correlations
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