2003/12/31 by A. C. Hewson, Akira Oguri, A. Oguri +1 · 1 citation
Mathematics · Physics and Astronomy · #Anderson impurity model #Condensed matter physics #Coupling (piping) #Energy (signal processing) #Function (biology) #Impurity #Materials science #Mathematics #Phonon #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Quasiparticle #Sign (mathematics) #Superconductivity #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.1140/epjb/e2004-00256-0
14 pages, 12 figures; Revised Sec. 2 and 4
arxiv created 2004/05/11 · openalex publication_date 2004/08/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that the low energy behaviour of quite diverse impurity systems can be described by a single renormalized Anderson model, with three parameters, an effective level εd, an effective hybridization V, and a quasiparticle interaction U. The renormalized parameters are calculated as a function of the bare parameters for a number of impurity models, including those with coupling to phonons and a Falikov-Kimball interaction term. In the model with a coupling to phonons we determine where the interaction of the quasiparticles changes sign as a function of the electron-phonon coupling. In the model with a Falikov-Kimball interaction we show that to a good approximation the low energy behaviour corresponds to that of a bare Anderson model with a shifted impurity level.