The underscreened Kondo effect: a two S=1 impurity model

Details The underscreened Kondo effect: a two S=1 impurity model The underscreened Kondo effect: a two S=1 impurity model

1997-06-06

arxiv.org/abs/cond-mat/9706067v1

Phys. Rev. B, 56 1997 668.

Physics

Condensed Matter

Strongly Correlated Electrons

27 pages, RevTeX, to be published in PRB

Scientific paper

10.1103/PhysRevB.56.668

The underscreened Kondo effect is studied within a model of two impurities S=1 interacting with the conduction band and via an interimpurity coupling $K\vec{S_1}.\vec{S_2}$. Using a mean-field treatment of the bosonized Hamiltonian, we show that there is no phase transition, but a continuous cross-over versus K from a non Kondo behaviour to an underscreened Kondo one. For a small antiferromagnetic coupling (K>0), a completely asymmetric situation is obtained with one s=${1/2}$ component strongly screened by the Kondo effect and the other one almost free to yield indirect magnetism, which shows finally a possible coexistence between a RKKY interaction and a local Kondo effect, as observed in Uranium compounds such as $UPt_3$.

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