Superconducting transition temperature: Interacting Fermi gas and phonon mechanisms in the nonadiabatic regime

Lev P. Gor'kov

doi:10.1103/PhysRevB.93.054517

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Superconducting transition temperature: Interacting Fermi gas and phonon mechanisms in the nonadiabatic regime

Lev P. Gor'kov

DOI 10.1103/PhysRevB.93.054517 · Physical Review B

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Abstract

We analyze the mathematical structure of equations for temperature TC of the superconductivity transition in a gas of interacting Fermi particles or at the phonon-mediated pairing in a metal in the case of nonadiabatic conditions ω0≥EF, i.e., when the characteristic phonon frequency ω0 is comparable or larger than the Fermi energy EF. As the methods of calculating TC in common superconductors are not applicable in the nonadiabatic regime, the integral equations for TC are derived in the logarithmic approximation. The new equations contain no divergent terms in the antiadiabatic limit. The results can be immediately generalized to anisotropic band superconductors.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
MgB2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	40	Pressure not reported	unknown
FeSe Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	100	Pressure not reported	onset
SrTiO3 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	0.07	Pressure not reported	unknown