Two Anderson Impurities in the Kondo Limit, Doublet States

We analyze two pairs of doublet states for the two Anderson impurity problem. We found that for short interimpurity distances they have a lower energy than the ferro triplet and the antiferro singlet. For medium to long distances between the impurities, the doublets also have a lower energy than the two decoupled Kondo-singlet state for most of the range of interest. The mechanism behind their energy gain is an coherence enhanced Kondo-like interaction.