Superconductivity in electron liquids with and without intermediaries

C. F. Richardson; N. W. Ashcroft

doi:10.1103/PhysRevB.54.R764

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Superconductivity in electron liquids with and without intermediaries

C. F. Richardson, N. W. Ashcroft

DOI 10.1103/PhysRevB.54.R764 · Physical Review B

T1

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Abstract

Solutions to the Eliashberg equation are reported for the one- and two-band electron liquids, with and without phonons, using effective interactions closely constrained by sum rules. For the two-band case, s-wave pairing can arise in the absence of phonons, but not for a single band at typical metallic densities. When phonons and electrons are treated on a completely equal footing, the transition temperatures in several higher-density simple metals are found to be correct to within 20%. For lower-density metals, however, large deviations are found from predictions that make use of the standard approximation μ*≈0.1.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
La Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Pb Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Sn Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Al Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown