Interaction of Anderson impurities with high orbital angular momenta: Non-RKKY behavior and instability of Kondo lattice

The hybridization-induced interaction of Anderson impurities with orbital angular momentum l is revisited. At short distances R<R _c ∝(l+1)/k _F the interaction has antiferromagnetic sign and decays as (R _c /R)^4l . At larger distances R>R _c the RKKY-like oscillatory interaction sets in. As l increases, the system will sooner or later enter the “short-distance” domain, where the intersite magnetic interaction dominates over the screening processes. This means that, contrary to previous expectations, the nonmagnetic state of the Anderson lattice is unstable at l→∞. Pis’ma Zh. éksp. Teor. Fiz. 67, No. 1, 76–81 (10 January 1998) Published in English in the original Russian journal. Edited by Steve Torstveit.