Superconductivity in cuprate homological series: Interlayer dielectric coupling of superconducting pairs

The interlayer dielectric order in a multilayer cuprate compound couples the superconducting condensates of the neighbor planes and ensures a significant increase in the superconducting-transition temperature T _n with an increase in the number of the copper-oxygen planes. A decrease in T _n at n > 3 is attributed to the breaking of the interlayer nesting and the suppression of the interlayer dielectric order due to the difference of the Fermi contours of the neighbor planes with different doping levels.