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Three-band model of high-Tc superconductivity

D. C. Mattis

DOI 10.1103/PhysRevB.59.7166 · Physical Review B

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Abstract

We reduce the three-band model of planar CuO2 to a single-band of composite fermions. We obtain hopping parameters teff(Rij), repulsive potentials Ueff and V(Rij), and the superexchange interactions J(Rij) necessary for both antiferromagnetism and superconductivity. The ratios of these quantities are determined by a unique parameter x≈3.9tpd/Udd. Pairing symmetry crosses over from “extended s” to “d” as function of carrier concentration. We show why only the latter survives near the antiferromagnetic point.

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