• DOI:10.1088/1361-648X/abb741
• Corpus ID: 220250475

The higher superconducting transition temperature T c and the functional derivative of T c with α 2 F(ω) for electron–phonon superconductors

@article{CamargoMartinez2020TheHS,
  title={The higher superconducting transition temperature T c and the functional derivative of T c with $\alpha$ 2 F($\omega$) for electron–phonon superconductors},
  author={J. A. Camargo-Mart'inez and G. I. Gonz'alez-Pedreros and F Mesa},
  journal={Journal of Physics: Condensed Matter},
  year={2020},
  volume={32}
}

• J. A. Camargo-Mart'inez, G. I. Gonz'alez-Pedreros, F. Mesa
• Published 27 June 2020
• Physics
• Journal of Physics: Condensed Matter

This work presents an analysis of the functional derivative of the superconducting transition temperature T c with respect to the electron-phonon coupling function α 2 F(ω) [δT c/δα 2 F(ω)] and α 2 F(ω) spectrum of H3S ( Im3̄m ), in the pressure range where the high-T c was measured (155–225 GPa). The calculations are done in the framework of the Migdal–Eliashberg theory. We find for this electron–phonon superconductor, a correlation between the maximums of δT c/δα 2 F(ω) and α 2 F(ω) with its higher T c. We corroborate this behavior in other electron–phonon superconductors by analyzing data available in the literature, which suggests its validity in this type of superconductors. The correlation observed could be considered as a theoretical tool that in an electron–phonon superconductor, allows describing qualitatively the proximity to its highest T c, and determining the optimal physical conditions (pressure, alloying or doping concentration) that lead to the superconductor reaching its highest T c possible.