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

Journal Article · Tue Mar 01 04:00:00 EST 1977 · Phys. Rev., B; (United States)

DOI:https://doi.org/10.1103/PhysRevB.15.2477· OSTI ID:7316347

Haldane, F D.M.

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.

• Research Organization: Department of Physics, Princeton University, P. O. Box 708, Princeton, New Jersey 08540
• OSTI ID: 7316347
• Journal Information: Phys. Rev., B; (United States), Journal Name: Phys. Rev., B; (United States) Vol. 15:5; ISSN PLRBA
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATOMIC MODELS
BAND THEORY
ELECTRONIC STRUCTURE
ELEMENTS
FIELD THEORIES
MAGNETIC PROPERTIES
MATHEMATICAL MODELS
METALS
PHYSICAL PROPERTIES
RARE EARTHS
TOMONAGA APPROXIMATION
TRANSITION ELEMENTS
VALENCE