Abstract
We discuss a three-dimensional model high-temperature superconductor, which encompasses both mono- and multilayer systems as planar non-Fermi liquids. Explicitly, we derive the analytic formulae for the superconducting transition temperature T c and for the shape of the space profile of the gap for a material composed of a periodic arrangement of CuO2 planes divided into groups of p≥1 tightly spaced planes. The results are compared with experiment and provide strong support for an interlayer Cooper-pair hopping between the planes as the source of the large T c enhancement in multilayer compounds. Our results are universal in the sense that only general properties of the in-plane pairing potential V kk′ are required to derive them. The results are applicable to both Landau and nonLandau fermionic liquids such as spin-charge separated (Luttinger) and statistical-spin liquids, each of which is also characterized briefly.
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Spałek, J., Byczuk, K. (1996). Universal properties of multilayer high-temperature superconductors: Transition, temperature and a spatial modulation of the gap. In: Klamut, J., Veal, B.W., Dabrowski, B.M., Klamut, P.W. (eds) Recent Developments in High Temperature Superconductivity. Lecture Notes in Physics, vol 475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0102033
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DOI: https://doi.org/10.1007/BFb0102033
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