Abstract
The $a\ensuremath{-}b$ plane microwave surface impedance of a high-quality B${\mathrm{i}}_{2}$S${\mathrm{r}}_{2}$CaC${\mathrm{u}}_{2}$${\mathrm{O}}_{8}$ single crystal $({T}_{c}\ensuremath{\approx}93\mathrm{K})$ has been measured at 14.4, 24.6, and 34.7 GHz. The surface resistance at low temperature is the lowest yet reported, is comparable with the best ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{7\ensuremath{-}\ensuremath{\delta}}$ data, and has a characteristic ${\ensuremath{\omega}}^{2}$ frequency dependence. The change in penetration depth, $\ensuremath{\Delta}{\ensuremath{\lambda}}_{\mathrm{ab}}(T)$, has a strong linear term at low temperature which is consistent with a gap with line nodes on the Fermi surface. The real part of the microwave conductivity displays a broad peak at low temperature, similar to that observed in ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{7\ensuremath{-}\ensuremath{\delta}}$.
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