Coherence in the Two Kondo Impurity Problem

Details Coherence in the Two Kondo Impurity Problem Coherence in the Two Kondo Impurity Problem

2006-07-17

arxiv.org/abs/cond-mat/0607426v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures. Revised version

Scientific paper

We show through a perturbative and an exact calculation using Wilson's renormalization methods that in the problem of two interacting Kondo impurities, on-site potential scattering generates a quantum-tunneling between the two impurities through a marginally relevant operator. The magnitude of this tunneling $V_{12}$ depends on the spin-correlation between the two impurities. For exchange interactions between the moments comparable to the Kondo energy $T_K$, $V_{12}$ is typically much larger than $T_K$. This implies that the heavy-fermion mass in this interesting range is determined by $V_{12}$ rather than $T_K$. The importance of these results for experiments in coupled Kondo dots is also pointed out.

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