New approach to the mixed-valence problem

Piers Coleman
Phys. Rev. B 29, 3035 – Published 15 March 1984
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Abstract

A new formulation of the mixed-valence problem is presented in which the singlet valence state of a rare-earth ion is represented by a zero-energy boson and the spinning state by a spin-j fermion. This representation avoids the need to use Hubbard operators with awkward algebras and avails itself of standard techniques for dealing with interacting quantum systems. In particular, a Feynman-diagram expansion for the thermodynamic variables and spectral functions can be developed. The advantages of the approach are illustrated for the mixed-valence impurity problem. Vertex corrections are found to be O(1N2), where N is the degeneracy of the rare-earth ion, allowing a self-consistent calculation of the f-electron spectral function to order O(1N2) that is valid in both the mixed-valence and Kondo regimes. The extension to the lattice is outlined and some preliminary results reported.

  • Received 29 August 1983

DOI:https://doi.org/10.1103/PhysRevB.29.3035

©1984 American Physical Society

Authors & Affiliations

Piers Coleman

  • Joseph Henry Laboratories, Department of Physics, Princeton University, Jadwin Hall, P.O. Box 708, Princeton, New Jersey 08540

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Issue

Vol. 29, Iss. 6 — 15 March 1984

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