Generalized Schrieffer-Wolff Transformation of 2 Kondo Impurity Problem

Details Generalized Schrieffer-Wolff Transformation of 2 Kondo Impurity Problem Generalized Schrieffer-Wolff Transformation of 2 Kondo Impurity Problem

2006-02-09

arxiv.org/abs/cond-mat/0602223v1

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 3 figures

Scientific paper

We have carried out a generalized Schrieffer-Wolff transformation of an Anderson two-impurity Hamiltonian to study the low-energy spin interactions of the system. The second-order expansion yields the standard Kondo Hamiltonian for two impurities with additional scattering terms. At fouth-order, we get the well-known RKKY interaction. In addition, we also find an antiferromagnetic superexchange coupling and a correlated Kondo coupling between the two impurities.

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