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Phonon-Induced Renormalization and Interaction: An Improvement on Frohlich Transformation

2000/04/24 by Han Zheng, H. Zheng, Zheng, H.
Physics and Astronomy · #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Rare-earth and actinide compounds #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity (cond-mat.supr-con) #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.cond-mat/0004388

2 figures

arxiv created 2000/04/24 · openalex publication_date 2000/04/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Starting from the Flohlich electron-phonon model, which has a history of 50 years, a new unitary transformation is proposed to implement the perturbation treatment. Our main results are: (1)The phonon-induced interaction shows a crossover from the BCS-like potential when the phonon frequency ωp is much smaller than the Fermi energy EF to that of the small polarons when ωp/EF≥ 1. (2)The jump of momentum distribution of electron number n\bf k at the Fermi surface goes to zero when the dimensionless coupling constant λ increases to the critical value λc≥ 1, which means a possible broken down of the Fermi-liquid description.

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