Evidence for strong pairing at arbitrarily small J/t is provided in a t-J model on the checkerboard lattice for a specific sign of the hopping amplitude. Destructive quantum interferences suppress Nagaoka ferromagnetism when J/t-->0 and drastically reduce coherent hole motion in the fluctuating singlet background. It is shown that, by pairing in various orbital symmetry channels, holes can benefit from a large gain of kinetic energy.
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Didier Poilblanc (2004) studied this question.
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