1998/12/11 by M. Capone, Massimo Capone, S. Ciuchi +5 · 2 citations
Chemistry · Engineering · Physics and Astronomy · #Advanced Thermodynamic Systems and Engines #FOS: Physical sciences #Inorganic Fluorides and Related Compounds #Particle accelerators and beam dynamics #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.cond-mat/9812195
4 pages, 3 figures. To appear in J. of Superconductivity (Proceedings Stripes98)
arxiv created 1998/12/11 · openalex publication_date 1998/12/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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 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.