Abstract
The Hubbard model is studied for its paramagnetic phase. The leading-order effects in 1/ d are Kondo-effect-type local spin fluctuations, with d being the spatial dimensionality. For d →+∞ , a “local” Kondo temperature is defined to show an energy scale of the local spin fluctuations or the strength of the Kondo effect to quench magnetic moments. Even for finite d , the local Kondo temperature is still unambiguously defined through the mapping to the Anderson model. It is so renormalized as to increase by intersite and critical spin fluctuations, which are of higher order in 1/ d . The renormalization of the local Kondo temperature can play crucial roles in the suppression of magnetism, the occurrence of high-temperature superconductivity, and the occurrence of metamagnetism in the presence of magnetic fields. The above results generally apply to strongly correlated electron liquids.
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