
TL;DR
This paper demonstrates that the BCS theory explains the universal scaling of the zero-temperature penetration depth with conductivity and critical temperature across a broad range of scattering conditions in superconductors.
Contribution
It shows that the scaling law for penetration depth is valid beyond the extreme dirty limit, providing a theoretical basis within BCS theory.
Findings
Scaling law holds for a wide range of scattering parameters.
BCS theory naturally explains the universal scaling.
Supports the idea of a universal property of superconductors.
Abstract
It is argued on the basis of the BCS theory that the zero- penetration depth satisfies ( is the normal state dc conductivity) not only in the extreme dirty limit , but in a broad range of scattering parameters down to ( is the zero- BCS coherence length and is the mean-free path). Hence, the scaling , suggested as a new universal property of superconductors,\cite{Homes} finds a natural explanation within the BCS theory.
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