The Small Polaron Crossover: Role of Dimensionality

dc.creatorCapone, M.
dc.creatorCiuchi, S.
dc.creatorGrimaldi, C.
dc.date1998-12-11
dc.date.accessioned2026-07-07T03:12:22Z
dc.date.available2026-07-07T03:12:22Z
dc.descriptionThe crossover from quasi free electron to small polaron in the Holstein model for a single electron is studied by means of both exact and self-consistent calculations in one dimension and on an infinite coordination lattice, in order to understand the role of dimensionality in such a crossover. We show that a small polaron ground-state occurs when both strong coupling ($λ>1$) and multiphonon ($α^2 >1$) conditions are fulfilled leading to different relevant coupling constants ($λ$) in adiabatic and ($α^2$) anti adiabatic region of the parameters space. We also show that the self-consistent calculations obtained by including the first electron-phonon vertex correction give accurate results in a sizeable region of the phase diagram well separated from the polaronic crossover.
dc.description4 pages, 3 figures. To appear in J. of Superconductivity (Proceedings Stripes98)
dc.identifierhttps://arxiv.org/abs/cond-mat/9812195
dc.identifierhttp://arxiv.org/abs/cond-mat/9812195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28880
dc.subjectStrongly Correlated Electrons
dc.titleThe Small Polaron Crossover: Role of Dimensionality
dc.typetext

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