Pairing Mechanism in Two Hubbard Models that Show d_{x^2-y^2} Pairing

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Here we examine various aspects of the pairing mechanism for two models, the two-dimensional and two-leg ladder Hubbard models. Both of these models exhibit pairing correlations with d_{x^2-y^2} symmetry. However, the undoped insulating states of these two systems are different with the two-dimensional lattice characterized by a ground state with long-range antiferromagnetic order and the two-leg ladder having a spin gap in its ground state. Our aim is to gain a better understanding of the underlying pairing mechanism which causes d_{x^2-y^2} pairing in these two models.
Latex, uses lprocldpf and epsf, 16 pages and 19 figures, to be published in the proceedings of the BICAS Summer School on "Symmetry of the Order Parameter in High-Temperature Superconductors" held in Ankara on June 17-22, 1996

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