Formula for the Critical Temperature of Superconductors Based on the Electronic Density of States and the Effective Mass
B. J. Taylor, M. B. Maple
DOI 10.1103/PhysRevLett.102.137003 · Physical Review Letters
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Abstract
A formula for the superconducting transition temperature Tc is developed by comparing the total condensation energy contained within the coherence volume of a Cooper pair to the number of electronic states at the Fermi surface within the same coherence volume. It is found that Tc is proportional to the ratio of the condensation energy density and normal state charge carrier density. We find that this relation holds for over 2 orders of magnitude in temperature for numerous well-known superconducting compounds belonging to distinctly different classes.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Sr2RuO4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 1.435 | Pressure not reported | unknown |
| PrOs4Sb12 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| UBe13 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| UPt3 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| MgB2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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