大学物理 ›› 2025, Vol. 44 ›› Issue (12): 64-.doi: 10.16854/j.cnki.1000-0712.250009

• 教学讨论 • 上一篇    下一篇

McMillan公式在氢基超导体中的应用

李斌   

  1. 南京邮电大学 理学院,南京 210023
  • 收稿日期:2025-01-09 修回日期:2025-02-04 出版日期:2026-03-13 发布日期:2026-03-20
  • 作者简介:李斌(1986—),男,江苏徐州人,南京邮电大学理学院副教授,博士,主要从事大学物理实验教学和氢基超导研究工作.
  • 基金资助:
    南京邮电大学教学改革研究项目(JG00723JX108),南京邮电大学-人民邮电出版社教材研究教学改革项目(JCYJ202403)资助

Application of the McMillan formula to hydrogen-based superconductors

LI Bin   

  1. School of Science, Nanjing University of Posts and Telecommunications, Nanjing, Jiangshu 210023, China
  • Received:2025-01-09 Revised:2025-02-04 Online:2026-03-13 Published:2026-03-20

摘要: McMillan公式是BCS超导理论体系的重要组成部分,是预测传统超导体超导转变温度的重要公式.本文介绍了McMillan的原始公式和 Allen与Dynes 修正后的形式,并以氢基超导体为例,应用McMillan公式揭示电声子耦合强度、声子对数频率和超导转变温度的关系.超导现象和超导电性是固体物理的重要问题和前沿课题,在固体物理教学中应重视超导相关问题及其在现代物理领域中的作用.

关键词: 超导转变温度, 氢基超导, 电声子耦合

Abstract: The McMillan formula is a crucial component of BCS superconductivity theory and a vital tool for predicting the superconducting transition temperature in conventional superconductors. This paper introduces the original McMillan formula and its Allen-Dynes modified version. Using hydrogen-based superconductor as example, we apply the McMillan equation to reveal the relationships between electron-phonon coupling strength, logarithmic phonon frequency, and superconducting transition temperature. Superconductivity and its electronic properties represent significant challenges and frontier topics in solid-state physics. Teaching solid-state physics should emphasize superconductivity-related issues and their role in modern physics.


Key words: superconducting transition temperature, hydrogen-based superconductors, electron-phonon coupling