Inhomogeneity-induced superconductivity?

A t-J-like model for inhomogeneous superconductivity of cuprate oxides is p resented, in which local anisotropic magnetic terms are essential. We show that: this model predicts pairing, consistent with experiments, and argue h ow the macroscopic phase-coherent state gradually grows upon lowering of th e temperature. We show that appropriate inhomomogeneities are essential in order to have significant pair binding in the thermodynamic limit. Particul arly, local breaking of SU(2) spin symmetry is an efficient mechanism for i nducing pairing of two holes, as well as explaining the magnetic scattering properties. We also discuss the connection of the resulting inhomogeneity- induced superconductivity to recent experimental evidence for a linear rela tion between magnetic incommensurability and the superconducting transition temperature, as a function ol doping.