Pressure effect on high-$T_{c}$ superconductors and Casimir Effect in nanometer scale

TL;DR

This paper explores how pressure influences the critical temperature of high-$T_{c}$ superconductors by incorporating the Casimir effect between plasma-like Cu-O layers, providing a new theoretical model that aligns with experimental data.

Contribution

It introduces a novel explicit expression for the intrinsic term in the pressure-induced charge transfer model, considering Casimir energy effects in high-$T_{c}$ superconductors.

Findings

The proposed model agrees with experimental intrinsic term data.

Casimir energy significantly influences $T_{c}$ under pressure.

The model offers a new perspective on pressure effects in layered superconductors.

Abstract

Considering $CuO_{2}$ conducting layers present in high Tc superconductors as plasma sheets, we proposed a prescription for the $T_{c}$ pressure behavior taken into account the Casimir effect. The Casimir energy arises from these parallel plasma sheets (Cu-O planes) when it take placed in the regime of nanometer scale (small \textit{d} distance). The charge reservoir layer supplies carries to the conducting $nCuO_{2}$ layers, which are a source of superconductivity. The pressure induced charge transfer model (PICTM) makes use of an intrinsic term, which description is still unclear. Considering Casimir energy describing the $T_{c}$ for the case of hight-$T_{c}$ superconductors, we propose an explicit expression to the intrinsic term. Realistic parameters used in the proposed expression have shown an agreement with experimental intrinsic term data observed in some high-$T_{c}$ compounds.