Abstract
Using an original modulation technique, the longitudinal (spin-lattice) relaxation of the impurity ${\mathrm{Gd}}^{3+}$ ions has been investigated in the superconducting state of ${\mathrm{Y}}_{0.99}{\mathrm{Gd}}_{0.01}{\mathrm{Ba}}_{2}{\mathrm{Cu}}_{4}{\mathrm{O}}_{8}$ magnetically aligned powders. The results agree well with the linewidth analysis performed on a single crystal. At low temperatures $(Tl60\mathrm{K})$ the relaxation rate ${T}_{1}^{\ensuremath{-}1}$ is found to be proportional to ${T}^{3},$ suggesting d-wave superconducting pairing. The data are consistent with previous Knight shift ${(}^{\mathrm{Gd}}K)$ measurements that revealed a linear temperature dependence of the uniform spin susceptibility. The Korringa relation between ${T}_{1}$ and ${}^{\mathrm{Gd}}K$ is confirmed indicating the validity of the Fermi-liquid model.
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