Small polaron formation in many-particle states of the Hubbard-Holstein model: The one-dimensional case

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dc.creatorCapone, Massimo
dc.creatorGrilli, Marco
dc.creatorStephan, Walter
dc.date1999-02-23
dc.date.accessioned2026-07-07T08:22:27Z
dc.date.available2026-07-07T08:22:27Z
dc.descriptionWe investigate polaron formation in a many-electron system in the presence of a local repulsion sufficiently strong to prevent local-bipolaron formation. Specifically, we consider a Hubbard-Holstein model of interacting electrons coupled to dispersionless phonons of frequency $ω_0$. Numerically solving the model in a small one-dimensional cluster, we find that in the nearly adiabatic case $ω_0 < t$, the necessary and sufficient condition for the polaronic regime to occur is that the energy gain in the atomic (i.e., extremely localized) regime ${\cal E}_{pol}$ overcomes the energy of the purely electronic system $ {\cal E}_{el}$. In the antiadiabatic case, $ω_0 > t$, polaron formation is instead driven by the condition of a large ionic displacement $g/ω_0 >1$ ($g$ being the electron-phonon coupling). Dynamical properties of the model in the weak and moderately strong coupling regimes are also analyzed.
dc.identifierhttps://arxiv.org/abs/cond-mat/9902317
dc.identifierhttp://arxiv.org/abs/cond-mat/9902317
dc.identifierEur. Phys. J 11, 551 (1999)
dc.identifierdoi:10.1007/s100510051182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135658
dc.subjectStrongly Correlated Electrons
dc.titleSmall polaron formation in many-particle states of the Hubbard-Holstein model: The one-dimensional case
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