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arxiv: cond-mat/0602223 · v1 · submitted 2006-02-09 · ❄️ cond-mat.str-el · cond-mat.mes-hall

Generalized Schrieffer-Wolff Transformation of 2 Kondo Impurity Problem

classification ❄️ cond-mat.str-el cond-mat.mes-hall
keywords kondocouplinggeneralizedhamiltonianimpuritiesschrieffer-wolfftransformationaddition
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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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