Abstract
Anisotropic superconductivity of strongly correlated electrons is studied in the 1/ d expansion, with d being the spatial dimensionality. Kondo-effect-type local spin fluctuations are of the leading order in 1/ d . They are responsible for the formation of Gutzwiller's heavy electrons. Superconductivity is of higher order in 1/ d . The superexchange interaction causes superconductivity of s or d γ wave, while a three-site exchange interaction causes that of s or p wave. Within the mean-field approximation which is one of the simplest schemes of the 1/ d expansion, the highest critical temperature is obtained for d γ wave, two dimensions, and almost half filling where the effective mass of heavy electrons is large and the three-site exchange interaction is relatively ineffective through the enhancement of vertex functions for spin channels. An argument is given in connection with high- T c superconductivity in the cuprate oxides.
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