Abstract
CuO 4 is the simplest of a class of repulsive Hubbard model clusters which (under well specified conditions) display W = 0 pairing; remarkably, ane also observes superconducting quantization of a magnetic flux orthogonal to the plane. Thus one can use CuO 4 units connected by weak O-O and/or Cu-Cu links to model interplanar coupling and c-axis superconductivity in Cuprates. A new analytic approximation supported by preliminary numerical evidence suggests that in such models one can study the propagation of bound pairs and also the superconducting flux quantization in a 3d geometry.
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