Effect of Interlayer Interaction in Outer and Inner Layers of Cuprate Superconductor's Energy Gap and Excitonic Correlations

Abstract

The role of interlayer interaction in outer and inner layers of  Cuprate Superconductors has been investigated with in the BCS theory
irrespective of the pairing mechanism. The expression for interlayer, intralayer order parameter (Δ) and excitonic correlation parameter (γ) for inner and outer layers has been obtained and numerically solved. We have explained relevance of our results in context of observation of two gaps and presence of pseudogap in underdoped cuprates. It is also found that interlayer order parameter for inner layers is considerably lower then for outer layers and mere addition of layers cannot increase Tc indefinitely.