Homes scaling and BCS

Abstract

It is argued on the basis of the BCS theory that the zero-$T$ penetration depth satisfies ${\lambda }^{-2}(0)\propto \sigma T_c$ ($\sigma$ is the normal state dc conductivity) not only in the extreme dirty limit ${\xi }_0/\ell \gg 1$, but in a broad range of scattering parameters down to ${\xi }_0/\ell \sim 1$ (${\xi }_0$ is the zero-$T$ BCS coherence length and $\ell$ is the mean-free path). Hence, the scaling ${\lambda }^{-2}(0)\propto \sigma T_c$, suggested as a new universal property of superconductors,\cite{Homes} finds a natural explanation within the BCS theory.

2 pages, 2 figures

References in corpus (3)

• Scaling of the superfluid density in high-temperature superconductors
• Towards a Holographic Realization of Homes' Law
• The n_s - T_c correlations in granular superconductors

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