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Path integral approach to the Anderson-Holstein model

2003/12/12 by Hyun C. Lee, Hyun Cheol Lee, Han-Yong Choi · 3 citations
Materials Science · Physics and Astronomy · #Magnetic and transport properties of perovskites and related materials #Physics of Superconductivity and Magnetism #Rare-earth and actinide compounds #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.69.075109

published as Phys. Rev. B Vol. 69, 075109 (2004) · RevTeX4 file. To appear in Physical Review B

arxiv created 2003/12/12 · openalex publication_date 2004/02/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Anderson-Holstein model is studied in the framework of the semiclassical approximation. Analytical results for the Kondo temperature renormalized by a weak electron-phonon interaction and for the phonon Green function are obtained, and they are interpreted from the viewpoint of dynamical mean field theory. In particular, the isotope effect of the effective electron mass is discussed in the presence of strong electron correlation. The results are also compared with those obtained by numerical renormalization group and other related work, and they are consistent with each other in their common domain of validity.

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