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

M. Capone (), M. Grilli and W. Stephan

The European Physical Journal B: Condensed Matter and Complex Systems, 1999, vol. 11, issue 4, 551-557

Abstract: We 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 ε pol overcomes the energy of the purely electronic system ε 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. Copyright Società Italiana di Fisica, Springer-Verlag 1999

Keywords: PACS. 71.38.+i Polarons and electron-phonon interactions, 63.20.Kr Phonon-electron and phonon-phonon interactions, 71.10.Fd Lattice fermion models (Hubbard model, etc.), 71.27.+a Strongly correlated electron systems; heavy fermions, (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/BF03219179

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