Superconductivity in a multi-layered non-Fermi liquid

A model of high-Tc superconductivity based on an inter-layer tunneling mechanism is solved in mean-field theory with an arbitrary number of identical layers per unit cell. The nodal structure of the gap function is determined by the nodal structure of the intra-layer contribution to the pairing kernel. The gap-anisotropy in open-quotes internalclose quotes layers of each unit cell is enhanced compared to the gap-anisotropy of open-quotes edgeclose quotes layers. The critical temperature Tc is calculated as a function of number of layers per unit cell, and is found to increase monotonically with increasing number of layers. A possible extension of the model to compounds that nominally have a single CuO2 layer per unit cell, but where the open-quotes bareclose quotes interlayer tunneling matrix element may nevertheless be appreciable is discussed. Such compounds are suggested to have a Tc reminiscent of ∞-layered compounds