Parameter-free expression for superconducting Tc in cuprates

TL;DR

This paper derives a parameter-free formula for the superconducting critical temperature in layered cuprates, accurately predicting Tc across various samples and doping levels, suggesting many cuprates are near Bose-Einstein condensation conditions.

Contribution

The paper introduces a novel, parameter-free expression for Tc in cuprates that aligns well with experimental data across multiple compounds and doping levels.

Findings

Accurately predicts Tc in 30 cuprate samples

Shows cuprates are close to Bose-Einstein condensation regime

Reveals unusual critical behavior and normal-state gap

Abstract

A parameter-free expression for the superconducting critical temperature of layered cuprates is derived which allows us to express Tc in terms of experimentally measured parameters. It yields Tc values observed in about 30 lanthanum, yttrium and mercury-based samples for different levels of doping. This remarkable agreement with the experiment as well as the unusual critical behaviour and the normal-state gap indicate that many cuprates are close to the Bose-Einstein condensation regime.