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We calculated the nuclear spin-lattice relaxation rate $1/T_1$ for the D+iDsuperconducting state with impurities. We found that small amount of unitaryimpurities quickly produces the residual density of states inside the gap. As aresult, the T-linear behavior in 1/T$_1$ is observed at low temperatures. Ourresults show that the D+iD pairing symmetry of the superconducting state ofNa$_{0.35}$CoO$_{2} \cdot y$H$_2$ O is compatible with recent $^{59}$Co 1/T$_1$experiments of several groups.Comment: 5 pages, 4 figures, minor change

physical review. b, condensed matter

Nuclear spin-lattice relaxation rate in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">iD</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>superconducting state: Implications for CoO superconductor

Nuclear spin-lattice relaxation rate in theD1+iD2superconducting state: Implications for CoO superconductor