Asymptotic limits for the penetration depth of strong-coupling superconductors
F. Marsiglio, J. P. Carbotte
DOI 10.1103/PhysRevB.41.11114 · Physical Review B
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Abstract
We calculate the asymptotic limit of some select electromagnetic properties when the electron-boson mass renormalization parameter of Eliashberg theory λ→∞. Our results apply for any reduced temperature t>0 and √λ t≫1. Local- and London-limit penetration depths are considered as well as the electromagnetic coherence length. Exact numerical results are given as well as approximate analytic expressions in a one-gap model for t near 1. For simplicity a δ function is employed for the electron-boson spectral density, and the Coulomb pseudopotential is neglected.
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