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

Abstract

The underscreened Kondo effect is studied within a model of two impurities S=1 interacting with the conduction band and via an interimpurity coupling $K\overrightarrow{S_1}.\overrightarrow{S_2}$. 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 $UP{t}_3$.

27 pages, RevTeX, to be published in PRB

References in corpus (3)

• Conformal Field Theory Approach to the 2-Impurity Kondo Problem: Comparison with Numerical Renormalization Group Results
• On the Emery-Kivelson Solution of the two channel Kondo problem
• Solution of the two-impurity Kondo model: critical point, Fermi-liquid phase, and crossover

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• The underscreened Kondo effect in ladder systems
• Holographic RG Flows for Kondo-like Impurities
• Underscreened Kondo Compensation in a Superconductor