Superconductivity at very strong coupling

1975/05/07 by Philip B. Allen, P B Allen, R. C. Dynes +1 · 2 citations
Engineering · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Superconducting Materials and Applications

paper · doi:10.1088/0022-3719/8/9/020

crossref issued 1975/05/07 · crossref published 1975/05/07 · crossref published-print 1975/05/07 · openalex publication_date 1975/05/07 · crossref published-online 2001/02/06 · crossref created 2002/07/26 · crossref deposited 2020/04/10 · openalex created_date 2025/10/10 · crossref indexed 2026/07/28 · openalex updated_date 2026/07/30

Abstract

A numerical treatment of the eliashberg equations reveals that mcmillan's equation fails for lamda>1.5. For very large lamda, t c scales as (lamda(omega 2 )) 1 2/, while for lamda<1.0, mcmillan's equation is reasonably accurate. The authors give a new approximate t c equation which satisfies these limits, and show that the maximum t c occurs at infinite lamda. A new tunnelling measurement for amorphous pb 0.45 bi 0.55 gives lamda=2.59 and a t c in excellent agreement with numerical solutions.

Citations

• The description of superconductivity in terms of dielectric response function
• Theory of Superconductivity
• Transition Temperature of Strong-Coupled Superconductors

Cited by

• Design and performance of an ultra-high vacuum spin-polarized scanning tunneling microscope operating at 30 mK and in a vector magnetic field
• Electron-phonon coupling mechanisms for hydrogen-rich metals at high pressure