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We present nuclear spin-lattice relaxation rate (1/T1) at the Co site andac-susceptibility results in the normal and superconducting (SC) states ofCeCoIn5 for H || c near the SC upper critical field Hc2 above 0.1 K. At 4.2 T,1/T1 rapidly decreases below the SC transition temperature, consistent with theprevious reports. Although the field dependence of 1/T1T at 0.1 K shows a peakat 5.2 T above Hc2, the temperature dependence of 1/T1T at 5.2 T is independentof temperature below 0.2 K, showing a Fermi-liquid behavior. In addition, wefound no NMR-spectrum broadening by the appearance of internal fields aroundHc2 at 0.1 K. We could not detect any field-induced magnetic instability aroundHc2 down to 0.1 K although the remarkable non-Fermi-liquid behavior towards Hc2was observed in various physical quantities.

Search for the field-induced magnetic instability around the upper critical field of superconductivity in H || c in CeCoIn5