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Precise measurements of the in-plane microwave surface impedance ofhigh-quality single crystals of Bi2212 and Tl2201 are used to probe therelaxation time of nodal quasiparticles in the d-wave superconducting statethrough a two-fluid analysis of the microwave conductivity. While this analysisrequires us to posit a form for the frequency-dependent quasiparticleconductivity, we clearly demonstrate that the extraction of the relaxation rateis quite insensitive to the assumed shape of the quasiparticle spectrum. Therobustness of the analysis is rooted in the oscillator-strength sum rule andthe fact that we simultaneously measure the real and imaginary parts of theconductivity. In both Bi2212 and Tl2201 we infer a linear temperaturedependence of the transport relaxation rate 1/tau and a small but finitezero-temperature intercept. The linear temperature dependence of 1/tau is inaccord with expectations for weak elastic scattering in an unconventionalsuperconductor with line nodes and a small residual density of states. The sameanalysis reveals an onset of inelastic scattering at higher temperaturessimilar to that seen in the YBCO superconductors. Finally we extrapolate thetwo-fluid model over a range of frequencies up to five times the measurementfrequency, where the extrapolation predicts behaviour that is qualitativelysimilar to terahertz conductivity data on Bi2212 thin films. While relaxationrates in Bi2212 and Tl2201 are substantially higher than in YBCO there arequalitative similarities between all three materials, and the differences canlikely be attributed to varying levels of static disorder. We thereforeconclude that a universal picture of quasiparticle scattering in the cupratesis emerging.Comment: 10 pages, 9 figure

physical review. b, condensed matter and materials physics

Electrical transport measurements in the superconducting state of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Bi</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Sr</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi mathvariant="normal">Ca</mml:mi><mml:msub><mml:mi mathvariant="normal">Cu</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn>8</mml…

Electrical transport measurements in the superconducting state ofBi2Sr2CaCu2O8