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

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

2008-06-20

arxiv.org/abs/0806.3385v1

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 12 figures

Scientific paper

10.1103/PhysRevB.79.085101

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.

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