c-axis penetration depth in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ single crystals measured by ac-susceptibility and cavity perturbation technique

Abstract

The $c$-axis penetration depth $\Delta {\lambda }_c$ in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ (BSCCO) single crystals as a function of temperature has been determined using two techniques, namely, measurements of the ac-susceptibility at a frequency of 100 kHz and the surface impedance at 9.4 GHz. Both techniques yield an almost linear function $\Delta {\lambda }_c(T)\propto T$ in the temperature range T<0.5 T_c. Electrodynamic analysis of the impedance anisotropy has allowed us to estimate ${\lambda }_c(0)\approx 50\mu$m in BSCCO crystals overdoped with oxygen ($T_c\approx 84$ K) and ${\lambda }_c(0)\approx 150\mu$m at the optimal doping level ($T_c\approx 90$ K).

5 pages, 4 figures

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