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 ([Formula: see text]), 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.

中文翻译：

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对于电子-声子超导体，较高的超导转变温度 T$_c$ 和 T$_c$ 与 $\alpha^2F(\omega)$ 的泛函导数

这项工作分析了超导转变温度 T c 关于电子-声子耦合函数 α 2 F(ω) [δT c/δα 2 F(ω)] 和 α 2 F(ω) 谱的泛函导数H3S（[公式：见正文]），在测量高 T c 的压力范围内（155-225 GPa）。计算是在 Migdal-Eliashberg 理论的框架内完成的。我们发现，对于这种电子-声子超导体，δT c/δα 2 F(ω) 和 α 2 F(ω) 的最大值与较高的 T c 之间存在相关性。我们通过分析文献中可用的数据证实了其他电子 - 声子超导体中的这种行为，这表明它在这种类型的超导体中的有效性。观察到的相关性可以被认为是一种理论工具，在电子 - 声子超导体中，