London penetration depth at zero temperature and near the superconducting transition

V. G. Kogan; M. A. Tanatar; R. Prozorov

doi:10.1103/PhysRevB.101.104510

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London penetration depth at zero temperature and near the superconducting transition

V. G. Kogan, M. A. Tanatar, R. Prozorov

DOI 10.1103/PhysRevB.101.104510 · Physical Review B

T1

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Abstract

A simple relation is established between the zero-T penetration depth λ(0) and the slope of λ−2(T) near Tc, similar to Helfand-Werthamer's relation for Hc2(0) and the slope of Hc2(T) at Tc for the isotropic s-wave case with nonmagnetic scattering [E. Helfand and N. R. Werthamer, Phys. Rev. 147, 288 (1966)]. When the scattering parameter ρ=ℏv/2πTcℓ (v is the Fermi velocity and ℓ is the mean free path) varies from 1 to 10, the coefficient of proportionality between λ−2(0) and Tc(dλ−2/dT)Tc changes from 0.43 to 0.38. Combining this relation with the Rutgers thermodynamic identity, one can express λ(0) in terms of the slope (dHc2/dT)Tc and the density of states.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
V3Si Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	16.4	Pressure not reported	unknown
Nb3Sn Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	17.9	Pressure not reported	unknown
Rh9In4S4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	2.25	Pressure not reported	unknown
MgB2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	39	Pressure not reported	unknown
CeCoIn5 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	2.3	Pressure not reported	unknown
KFe2As2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	3.5	Pressure not reported	unknown