Interplane Transport and Superfluid Density in Layered Superconductors

Abstract

We report on generic trends in the behavior of the interlayer penetration depth ${\lambda }_c$ of several different classes of quasi two-dimensional superconductors including cuprates, Sr${}_2$RuO${}_4$, transition metal dichalcogenides and organic materials of the $(BEDT-TTF{)}_{2}X$-series. Analysis of these trends reveals two distinct patterns in the scaling between the values of ${\lambda }_c$ and the magnitude of the DC conductivity: one realized in the systems with a Fermi liquid (FL) ground state and the other seen in systems with a marked deviation from the FL response. The latter pattern is found primarily in under-doped cuprates and indicates a dramatic enhancement (factor $\simeq 10^2$) of the energy scale ${\Omega }_C$ associated with the formation of the condensate compared to the data for the FL materials. We discuss implications of these results for the understanding of pairing in high-$T_c$ cuprates.

4 pages, 2 figures

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• Mobility of the Doped Holes and the Antiferromagnetic Correlations in Underdoped High-T_c Cuprates
• Electron Dynamics in Nd${}_{1.85}$Ce${}_{.15}$CuO${}_{4+\delta }$: Evidence for the Pseudogap State and Unconventional c-axis Response
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