Abstract
The author studies the ground states of the mixed-valence system by renormalization group theory and numerical exact diagonalization. A 1/N expansion is applied to examine the Ruderman-Kittel Kasuya-Yosida (RKKY) interaction effects. He shows that the antiferromagnetic RKKY interaction Jij grows as scaling proceeds and reduces the strength of s-d coupling J. This property clarifies the competition between the local Kondo effect and intersite RKKY interactions. Scaling theory predicts that for small Jij<<Tk the low-energy scale is given by Delta E approximately=TKe- alpha Jij, and for large Jij, Delta E approximately=(1/Jij)alpha ', which agree well with the authors' numerical diagonalizations. In the intermediate regime where the Kondo and RKKY effects cancel each other, the author discusses whether his results support the existence of a zero of beta J=dJ/d In D.
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