Thermal Stability of Superconductors
Jacob Szeftel, Nicolas Sandeau, Michel Abou Ghantous, Muhammad El-Saba

TL;DR
This paper develops a stability criterion for superconductors, analyzes temperature effects on their properties, and presents experiments to validate the theoretical predictions, including studies on high-$T_c$ materials.
Contribution
It introduces a new stability criterion for superconductors and provides experimental validation, including specific heat measurements of high-$T_c$ compounds.
Findings
Confirmed the validity of a stability prerequisite for persistent currents.
Provided temperature dependence data for specific heat and electron concentration near $T_c$.
Presented experimental results on the isotope effect and specific heat in high-$T_c$ superconductors.
Abstract
A stability criterion is worked out for the superconducting phase. The validity of a prerequisite, established previously for persistent currents, is thereby confirmed. Temperature dependence is given for the specific heat and concentration of superconducting electrons in the vicinity of the critical temperature . The isotope effect, mediated by electron-phonon interaction and hyperfine coupling, is analyzed. Several experiments, intended at validating this analysis, are presented, including one giving access to the specific heat of high- compounds.
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