Abstract
The nanometer-scale gap inhomogeneity revealed by recent scanning tunnel microscope images of ${\mathrm{Bi}}_{2}{\mathrm{Sr}}_{2}{\mathrm{CaCu}}_{2}{\mathrm{O}}_{8+x}$ (BSCCO) surface suggests that the ``gap coherence length'' is of that order. Thus a robust pairing gap can develop despite the poorly screened Coulomb interaction. This can be taken as an evidence that the pairing in high-${T}_{c}$ materials hardly affects the charge correlation and hence occurs primarily among the spin degrees of freedom. We provide theoretical support for this point of view.
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