Numerical renormalization group calculations for the self-energy of the impurity Anderson model

1998/04/21 by R. Bulla, A. C. Hewson, Th. Pruschke · 12 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1088/0953-8984/10/37/021

published as J. Phys.: Condens. Matter 10 (1998) 8365 · 18 pages, 9 figures, submitted to J. Phys.: Condens. Matter

arxiv created 1998/04/21 · openalex publication_date 1998/09/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

We present a new method for calculating directly the one-particle self-energy of an impurity Anderson model with Wilson's numerical renormalization group method by writing this quantity as the ratio of two correlation functions. This way of calculating turns out to be considerably more reliable and accurate than that via the impurity Green's function alone. We give results for the self-energy for the case of a constant coupling between the impurity and the conduction band and the effective arising in the dynamical mean-field theory of the Hubbard model. The implications of the problem of the metal-insulator transition in the Hubbard model are also discussed.

Citations

• Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
• The renormalization group: Critical phenomena and the Kondo problem
• Electron correlations in narrow energy bands

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