Strong-coupling corrections to the Bardeen-Cooper-Schrieffer ratios for a d-wave superconductor

Hongguang Chi; J. P. Carbotte

doi:10.1103/PhysRevB.49.6143

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Strong-coupling corrections to the Bardeen-Cooper-Schrieffer ratios for a d-wave superconductor

Hongguang Chi, J. P. Carbotte

DOI 10.1103/PhysRevB.49.6143 · Physical Review B

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Abstract

We have calculated, for a d-wave superconductor, the strong-coupling corrections to the Bardeen-Cooper-Schrieffer (BCS) ratios: ΔC(Tc)/γTc,2Δ0/Tc,γTc2/Hc2(0), hc(0) as well as the ratios for the normalized slope in the specific-heat jump at Tc and London penetration depth. We have used a step-function approximation for the gap function and considered an Einstein spectral density for the bosons. We have obtained terms up to O(Tc4/ωE4) (here Tc/ωE is the strong-coupling parameter and ωE is the Einstein energy). While our results are approximate for the strong-coupling cases, the weak-coupling results are exact. These weak-coupling ratios are no longer universal and depend on the d-wave considered. Our formulas are also applicable for some extended s-wave superconductors which have a basis function with a zero average over the Fermi surface.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
UPt3 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown