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Asymptotic limit for the thermodynamics of a boson-exchange superconductor

F. Marsiglio, P. J. Williams, J. P. Carbotte

DOI 10.1103/PhysRevB.39.9595 · Physical Review B

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Abstract

We establish formulas for the free-energy difference (ΔF) between the superconducting and normal states of an Eliashberg superconductor valid in the asymptotic limit λ→∞ where λ is the mass-renormalization parameter. It is shown that (ΔF) varies as λωE2 times a universal function of the reduced temperature t=T/Tc. Here ωE is the characteristic energy of the exchanged boson. The universal function is calculated numerically for finite t>0.

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