论文标题

较高的超导过渡温度t $ _c $和$α^2f(ω)$的t $ _c $的功能导数

The higher superconducting transition temperature T$_c$ and the functional derivative of T$_c$ with $α^2F(ω)$ for electron-phonon superconductors

论文作者

Camargo-Martínez, J. A., González-Pedreros, G. I., Mesa, F.

论文摘要

这项工作介绍了超导过渡温度t $ _c $的功能衍生物,相对于电子 - 偶联功能$α^2f(ω)$ [$Δt_T_C/δα^2 $ f($ f($ω$)]和$α^2f(ω)测量高-T $ _C $(155-225 GPA)。计算是在Migdal-Eliashberg理论的框架中完成的。我们发现了该电子 - phonon超导体,最大值$ΔT_C/δα^2 $ f($ω$)和$α^2F(ω)$与较高的t $ _C $之间的相关性。我们通过分析文献中可用的数据来证实这种行为,这表明其在这种类型的超导体中的有效性。观察到的相关性可以被视为一种理论工具,在电子 - 音波超导体中,可以定性地描述与最高t $ _c $的近距离,并确定最佳的物理条件(压力,合金或掺杂浓度),从而导致超导体达到最高t $ _c $。

This work presents an analysis of the functional derivative of the superconducting transition temperature T$_c$ with respect to the electron-phonon coupling function $α^2F(ω)$ [$δT_c/δα^2$F($ω$)] and $α^2F(ω)$ spectrum of H$_3$S ($Im\bar3m$), 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 $α^2F(ω)$ 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.

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