Calculation of the transition temperature Tc of superconductors
- 1 February 1979
- journal article
- research article
- Published by Wiley in Physica Status Solidi (b)
- Vol. 91 (2) , 647-656
- https://doi.org/10.1002/pssb.2220910231
Abstract
An iterative solution of the Eliashberg equations for isotropic superconductors is approximated by an analytical expression and gives as a result an equation for the superconducting transition temperature Tc. For small Tc (Tc ≪ mean phonon energy) a formula is derived, which agrees within a few per cent with the well‐known McMillan formula, if in this formula the mean logarithmic phonon energy ωlog is taken as pre‐factor, a correction which was already proposed earlier. For large Tc the (λ < ω2)1/2 behaviour of Allen and Dynes is found. Numerical results are presented for 0.5 < λ < 8, where the α2F(ω)‐shapes are taken corresponding to Hg, Pb, In, and Nb.Keywords
This publication has 19 references indexed in Scilit:
- Superconducting transition temperatures for weak and strong electron-phonon couplingSolid State Communications, 1977
- Approximative BCS-like solution of the eliashberg gap equationPhysica Status Solidi (b), 1976
- Transition temperature of strong-coupled superconductors reanalyzedPhysical Review B, 1975
- Superconductivity at very strong couplingJournal of Physics C: Solid State Physics, 1975
- An important parameter in high-temperature superconductivityJournal of Low Temperature Physics, 1974
- A simple and accurate equation for the superconducting transition temperatureSolid State Communications, 1973
- The sensitivity of the transition temperature to changes in α2 F(ω)The European Physical Journal A, 1973
- McMillan's equation and the Tc of superconductorsSolid State Communications, 1972
- S-state instabilities for retarded interactionsPhysica, 1971
- Transition Temperature of Strong-Coupled SuperconductorsPhysical Review B, 1968