Abstract
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 “internal” layers of each unit cell is enhanced compared to the gap-anisotropy of “edge” 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 “bare” interlayer tunneling matrix element may nevertheless be appreciable is discussed. Such compounds are suggested to have a Tc reminiscent of ∞-layered compounds.
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Sudbø, A. Superconductivity in a multi-layered non-fermi liquid. J Low Temp Phys 97, 403–415 (1994). https://doi.org/10.1007/BF00754301
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DOI: https://doi.org/10.1007/BF00754301