AI 中文总结
研究针对氢化物中强耦合超导的Eliashberg方程，给出在德拜模型内超导临界温度的解析解，该解在不同耦合区域与数值计算相符，应用于YH6并与实验等基准测试，预测临界温度与相关计算和数据有标度一致性。
AI 中文摘要
近期在极端压力下富氢材料中室温超导的发现，重新引发了对由Eliashberg理论描述的声子介导配对机制的兴趣，该理论通过纳入声子延迟效应推广了BCS框架。本文给出了在德拜模型内制定的超导临界温度的各向同性Eliashberg方程的解析解。该解在弱耦合和强耦合区域与完全自洽的数值计算都有良好的一致性，正确再现了对电子 - 声子耦合参数的指数和平方根依赖性。我们还将该解应用于YH6，与实验和麦克米兰 - 艾伦 - 戴恩斯公式进行基准测试。更广泛地说，在各种氢化物超导体中，预测的临界温度与从头算计算和实验数据显示出标度一致性。
英文摘要
The recent discovery of room-temperature superconductivity in hydrogen-rich materials under extreme pressures has renewed interest in phonon-mediated pairing mechanisms described by the Eliashberg theory, which generalizes the BCS framework by incorporating phonon retardation effects. In this article, we present an analytical solution to the isotropic Eliashberg equations for the superconducting critical temperature, formulated within the Debye model. This solution exhibits good agreement with fully selfconsistent numerical calculations across both weak- and strong-coupling regimes, correctly reproducing the exponential and square-root dependences on the electron-phonon coupling parameter. We further apply the solution to YH6, benchmarking against experiment and the McMillan-Allen-Dynes formula. More broadly, across a diverse set of hydride superconductors, the predicted critical temperature shows scaling consistency with ab initio calculations and experimental data.
CommentsAccepted for publication in Annals of Physics. To appear in Annals of Physics (2026). DOI: 10.1016/j.aop.2026.170637
