Scaling relation for the superfluid density in cuprate superconductors

Details Scaling relation for the superfluid density in cuprate superconductors Scaling relation for the superfluid density in cuprate superconductors

2004-10-22

arxiv.org/abs/cond-mat/0410568v2

Physics

Condensed Matter

Superconductivity

Paper in press as Rapid Comm in Phys. Rev. B. 4 pages, 1 figure, in response to the Nature paper by Homes et al

Scientific paper

A universal scaling relation, $\rho_s \propto \sigma(T_c)\times T_c$ has been reported by Homes $et$ $al$. (Nature (London) {\bf 430}, 539 (2004)) where $\rho_s$ is the superfluid density and $\sigma(T)$ is the DC conductivity. The relation was shown to apply to both c-axis and in-plane dynamics for high-$T_c$ superconductors as well as to the more conventional superconductors Nb and Pb, suggesting common physics in these systems. We show quantitatively that the scaling behavior has several possible origins including, marginal Fermi-liquid behavior, Josephson coupling, dirty-limit superconductivity and unitary impurity scattering for a d-wave order parameter. However, the relation breaks down seriously in overdoped cuprates, and possibly even at lower doping.

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