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We argue through a combination of slave boson mean field theory and the Betheansatz that the ground state of closely spaced double quantum dots in parallelcoupled to a single effective channel are Fermi liquids. We do so by studyingthe dots' conductance, impurity entropy, and spin correlation. In particularlywe find that the zero temperature conductance is characterized by the Friedelsum rule, a hallmark of Fermi liquid physics, and that the impurity entropyvanishes in the limit of zero temperature, indicating the ground state is asinglet. This conclusion is in opposition to a number of numericalrenormalization group studies. We suggest a possible reason for thediscrepancy.

The RKKY Interaction and the Nature of the Ground State of Double Dots in Parallel