BOSE-EINSTEIN CONDENSATION IN QUASI-2D SYSTEMS: APPLICATIONS TO HIGH-T_c SUPERCONDUCTIVITY

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 δ. The BEC critical transition temperature then becomes an explicit function of δ. We use this result to construct a model of high-T_c superconductivity in cuprates with a periodic layered atomic structure. The predicted behavior of the BEC T_c agrees with recent experimental findings in severely underdoped cuprates.