Abstract
The boundary between highly under-doped and over-doped cuprate superconductors is studied within the framework of the slave-boson mean-field theory of the t–J model. Because of the proximity effect of singlet resonating valence bond order, the superconductivity appears at the boundary even when there is no bulk superconductivity. Remarkably, the transition temperature of this “boundary superconductivity” exceeds the maximum superconducting transition temperature of the base material in the bulk.
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