TRANSITION-TEMPERATURE AND A SPATIAL DEPENDENCE OF THE SUPERCONDUCTING GAP FOR MULTILAYER HIGH-TEMPERATURE SUPERCONDUCTORS

We derive the expressions for the transition temperature T-c, and the spatial dependence of the superconducting gap for a multilayer high-T- c superconductor composed of groups of tightly spaced planes separated by a larger distance. The results are compared with experiment and pr ovide strong support for an interlayer hopping as the driving force of the large T-c enhancement in multilayered compounds. Our results are universal in the sense that they are valid for an arbitrary pairing po tential V-kk' in the CuO2 planes, as well as for both Fermi- and non-F ermi-liquids.