On Bose-Einstein condensation in quasi-2D systems with applications to high Tc superconductivity II

TL;DR

This paper models Bose-Einstein condensation in quasi-2D systems with finite thickness and applies it to high-Tc superconductivity in cuprates, showing that the critical temperature depends on layer thickness and matches experimental data.

Contribution

It provides an explicit relation between BEC transition temperature and layer thickness in quasi-2D systems, advancing understanding of high-Tc superconductivity mechanisms.

Findings

BEC critical temperature depends on layer thickness d.

Model predictions align with experimental data in underdoped cuprates.

Layered structure influences superconducting transition temperature.

Abstract

We calculate the number and energy densities of a quasi-2D Bose-Einstein gas constrained within a thin region of infinite extent but of finite width d. The BEC critical transition temperature then becomes an explicit function of d. We use this result to construct a model of high-Tc superconductivity in cuprates with a periodic layered atomic structure. The predicted behavior of the BEC Tc agrees with recent experimental findings in severely underdoped cuprates.