Relation between the Anderson and Kondo Hamiltonians

1966/09/16 by J. R. Schrieffer, P. A. Wolff · 2,389 citations
Mathematics · Physics and Astronomy · #Anderson impurity model #Canonical transformation #Condensed matter physics #Electrical resistivity and conductivity #Impurity #Kondo effect #Kondo model #Limit (mathematics) #Magnetic moment #Mathematics #Mixing (physics) #Moment (physics) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum mechanics #Rare-earth and actinide compounds #Theoretical and Computational Physics

paper · doi:10.1103/physrev.149.491

published in Physical Review 149(2), 491-492 (American Institute of Physics)

openalex publication_date 1966/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A canonical transformation is used to relate the Anderson model of a localized magnetic moment in a dilute alloy to that of Kondo. In the limit of small s\ensuremath-d mixing, which is the most favorable case for the occurrence of a moment, the two models are shown to be equivalent. The Anderson model thus has low-temperature anomalies similar to those previously discussed for the Kondo model.

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