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We report a precise $^{59}$Co nuclear quadrupolar resonance (NQR) measurementon the recently discovered cobalt oxyhydrate Na$_{0.35}$CoO$_{2}$$\cdoty$H$_{2}$O superconductor from $T$=40 K down to 0.2 K. We find that in thenormal state the spin-lattice relaxation rate $1/T_1$ follows a Curie-Weisstype temperature ($T$) variation, $1/T_1T=C/(T-\theta)$, with $\theta$=-42 K,suggesting two-dimensional antiferromagnetic spin correlations. Below $T_c$=3.9K, $1/T_1$ decreases with no coherence peak and follows a $T^n$ dependence with$n\simeq$2.2 down to $\sim$2.0 K but crosses over to a $1/T_1\propto T$variation below $T$=1.4 K, which suggests non s-wave superconductivity. Thedata in the superconducting state are most consistent with the existence ofline nodes in the gap function.Comment: submitted for publication in June '0

physical review letters

Unconventional Superconductivity and Electron Correlations in the Cobalt Oxyhydrate<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:mrow><mml:mn>0.35</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:mo>·</mml:mo><mml:…

Unconventional Superconductivity and Electron Correlations in the Cobalt OxyhydrateNa0.35CoO2·