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

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  • M. Capone
  • M. Grilli
  • W. Stephan

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

Suggested Citation

  • M. Capone & M. Grilli & W. Stephan, 1999. "Small polaron formation in many-particle states of the Hubbard-Holstein model: The one-dimensional case," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 11(4), pages 551-557, October.
    • Handle: RePEc:spr:eurphb:v:11:y:1999:i:4:p:551-557:10.1007/bf03219179
    DOI: 10.1007/BF03219179
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