Abstract

The nearest-neighbor attractive interaction and the van Hove singularity definitely prefer d γ-symmetry Cooper pairs in simple square lattices with the nearest-neighbor transfer integrals. What are examined are the effects of magnetic frustrations on superconductivity realized by superexchange interactions in metallic phases as well as those on magnetic orderings in insulating phases. Although magnetic transition temperatures are significantly reduced by frustrations as expected, superconducting transition temperatures are not depressed, but are actually enhanced in certain cases by magnetic frustrations. A detailed analysis of magnetism in insulating phases is necessary to estimate transition temperatures of superconductivity realized by superexchange interactions.

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