Bose-Einstein condensation in quasi-2D systems: applications to high Tc superconductivity

TL;DR

This paper models high-Tc superconductivity in layered cuprates as a Bose-Einstein condensation of Cooper pairons with a linear dispersion, deriving a formula for Tc that aligns with experimental data.

Contribution

It introduces a BEC-based model for high-Tc superconductivity in quasi-2D systems and provides a closed-form formula for Tc dependent on physical parameters.

Findings

The derived Tc formula matches empirical data for various cuprates.

The model explains high transition temperatures via BEC of Cooper pairons.

Layer width and pairing energy significantly influence Tc.

Abstract

We describe high-Tc superconductivity in layered materials within a BCS theory as a BEC of massless-like Cooper pairons satisfying a linear dispersion relation, and propagating within quasi-2D layers of finite width defined by the charge distribution about the CuO_2 planes. We obtain a closed formula for the critical temperature, Tc, that depends on the layer width, the binding energy of Cooper's pairs, and the average in-plane penetration depth. This formula reasonably reproduces empirical values of superconducting transition temperatures for several different cuprate materials near the optimal doping regime, as well as for YBCO films with different doping degrees.