Abstract
The 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 (1D) 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 (α2>1) conditions are fulfilled, leading to different relevant coupling constants (λ) in adiabatic and (α2) anti-adiabatic region of the parameter’s 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.
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© 2002 Kluwer Academic Plenum Publishers
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Capone, M., Ciuchi, S., Grimaldi, C. (2002). The Small Polaron Crossover: Role of Dimensionality. In: Bianconi, A., Saini, N.L. (eds) Stripes and Related Phenomena. Selected Topics in Superconductivity, vol 8. Springer, Boston, MA. https://doi.org/10.1007/0-306-47100-0_20
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DOI: https://doi.org/10.1007/0-306-47100-0_20
Publisher Name: Springer, Boston, MA
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