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I have never heard of a theory called percolative superconductivity in high temperature superconductors - the most popular ones at the moment are the anisotropic Ginzburg-Landau and the Lawrence-Doniarch model, which is chosen depends largely upon the anisotropy.
A brief search indicates that it might be to do with defects or inhomogenities - these are preferential sites for vortices and are very important in maintaining low resistance when current is flowing.
It could be to do with the spread or percolation of phase transitions in a sample under an appied field. For example, edge defects cause barriers to penetration that are greater than the thermodynamic transition Hc1, this results in almost lightening like domains of penetration (on a large scale). These spread to the center of the sample as the field is increased. Could this be the percolation that you refer to?
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