Perturbation Technique for the Anderson Hamiltonian

H. Keiter; J. C. Kimball

doi:10.1103/PhysRevLett.25.672

Perturbation Technique for the Anderson Hamiltonian

H. Keiter and J. C. Kimball

Phys. Rev. Lett. 25, 672 – Published 7 September 1970

Abstract

A new strong-coupling diagrammatic perturbation treatment of the Anderson Hamiltonian confirms in finite order Kondo divergencies for the partition function, associated with an effective $s - d$ coupling $J$ as predicted by the Schrieffer-Wolff transformation. This holds true also for the symmetric case. By summing the diagrams with two conduction-electron intermediate states in the limit $U \to \infty$ , a Kondo temperature with $J$ near diverging is obtained.

Received 6 July 1970

DOI:https://doi.org/10.1103/PhysRevLett.25.672

Authors & Affiliations

H. Keiter^* and J. C. Kimball^†

Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104

^*On leave from Institut für Theoretische Physik, Köln, Germany, with a research grant from the Deutsche Forschungsgemeinschaft.
^†National Science Foundation Postdoctoral Fellow.