New model for the mixed-valence phenomenon in rare-earth materials

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Abstract

A model of a single rare-earth atom in a transition metal is derived, and terms describing screening of charge fluctuations in the resonant l=3 scattering channels by the l=2 channels are included. Using the Tomonaga approximation, in which charge fluctuations are represented by bosons, the screening channels are replaced by a boson field, and the model takes on a particularly simple form, the Anderson model of a magnetic impurity, now coupled to the boson field. The mean-field theory of this model suggests that, unlike in the original Anderson model, the impurity can be in a state of slowly fluctuating valence, which we identify with the mixed-valence phenomenon in certain rare-earth materials. These results suggest that the mixed-valence effect may be purely electronic in origin.

Original languageEnglish (US)
Pages (from-to)2477-2484
Number of pages8
JournalPhysical Review B
Volume15
Issue number5
DOIs
StatePublished - Jan 1 1977

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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