Upper limit for superconducting transition temperature in Eliashberg-McMillan theory

Abstract

We present simple qualitative estimates for the maximal superconducting transition temperature, which may be achieved due to electron - phonon coupling in Eliashberg-McMillan theory. It is shown that in the limit of very strong coupling the upper limit for transition temperature is determined in fact by a combination of atomic constants and density of conduction electrons.

2 pages, minor typos corrected

References in corpus (5)

• Conventional superconductivity at 203 K at high pressures
• A Perspective on Conventional High-Temperature Superconductors at High Pressure: Methods and Materials
• High Pressure and Road to Room Temperature Superconductivity
• Room Temperature Superconductivity: the Roles of Theory and Materials Design
• Limits of Eliashberg Theory and Bounds for Superconducting Transition Temperature

Cited by in corpus (6)

• The Maximum $T_c$ of Conventional Superconductors at Ambient Pressure
• Fundamental limits on the electron-phonon coupling and superconducting $T_c$
• Bounds on $T_c$ in the Eliashberg theory of Superconductivity. I: The $\gamma$-model
• Upper limit for superconducting transition temperature in electron-phonon superconductors: very strong coupling
• Bounds on $T_c$ in the Eliashberg theory of Superconductivity. III: Einstein phonons
• Bounds on $T_c$ in the Eliashberg theory of Superconductivity. II: Dispersive phonons