Abstract
One of the most characteristic features of heavy-electron liquids is interplay between local and intersite spin fluctuations. Recent developments in including both spin fluctuations are reviewed. Local spin fluctuations, which are responsible for the formation of heavy electrons, are completely included in the single-site approximation (SSA). The SSA is reduced to solving the Anderson model selfconsistently. Intersite spin fluctuations are perturbatively included. Such a perturbative scheme is nothing but the 1/d expansion from the d= +oo dimension. The mean-field approximation based on the SSA is rigorous for d = +oo. Applications of the 1/d expansion to paramagnons, metamagnetism, tiny-moment magnetism, and other topics are presented.
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