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Analytic impurity solver with Kondo strong-coupling asymptotics

2006/07/31 by V. Janiš, V. Janis, P. Augustinsky +1 · 40 citations
Physics and Astronomy · #Anderson impurity model #Condensed matter physics #Electron #Fermi liquid theory #Impurity #Kondo effect #Kondo insulator #Magnetic impurity #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Rare-earth and actinide compounds #Statistical physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.75.165108

published in Physical Review B 75(16) (American Physical Society) · 7 pages REVTeX4, 5 EPS figures, extended version

arxiv created 2007/01/08 · openalex publication_date 2007/04/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present an analytic universal impurity solver for strongly correlated electrons. We extend the many-body perturbation expansion via suitable two-particle renormalizations from the Fermi-liquid regime to the critical region of the metal-insulator transition. The reliability of the approximation in the strong-coupling limit is demonstrated by reproducing the Kondo scale in the single-impurity Anderson model. We disclose the origin of the Kondo resonance in terms of Feynman diagrams and find criteria for the existence of the proper Kondo asymptotic behavior in approximate theories.

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