We report T c and 59Co nuclear quadrupole resonance measurements on the cobalt oxide superconductor Na x CoO 2 · 1.3H 2 O ͑T c = 4.8 K͒ under hydrostatic pressure ͑P͒ up to 2.36 GPa. T c decreases with increasing pressure at an average rate of −0.49± 0.09 K / GPa. At low pressures P ഛ 0.49 GPa, the decrease of T c is accompanied by a weakening of the spin correlations at a finite wave vector and a reduction of the density of states ͑DOS͒ at the Fermi level. At high pressures above 1.93 GPa, however, the decrease of T c is mainly due to a reduction of the DOS. These results indicate that the electronic and magnetic state of Co is primarily responsible for the superconductivity. The spin-lattice relaxation rate 1 / T 1 at P = 0.49 GPa shows a T 3 variation below T c down to T ϳ 0.12T c , which provides compelling evidence for the presence of line nodes in the superconducting gap function. The recently discovered superconductivity in cobalt oxide Na x CoO 2 · 1.3H 2 O has attracted considerable attention.1 This compound bears some similarities to the high-T c copper oxide superconductors, although Co forms a triangular lattice rather than a square lattice as in the cuprates. In an early study on a sample with large Na content, x = 0.31 and T c = 3.7 K, it was found that the spin-lattice relaxation rate 1/T 1 shows a T n decrease with no coherence peak just below T c , which suggests non-s-wave superconducting state.2 However, the crossover from n = 3 to 1 at low temperatures, which was subsequently confirmed by other groups, has generated debate on whether there are nodes in the gap function. 3,4 Later measurements on a low-x sample with high T c ͑x = 0.26, T c = 4.6 K͒ reveal that 1 / T 1 follows a T 3 variation all way down to T = T c / 6, indicating unambiguously that there exist line nodes in the gap function. 5 It is also worth noting that the spin fluctuations at finite wave vector, most likely of antiferromagnetic ͑AF͒ origin, increase with decreasing Na content, and become strongest at x ϳ 0.26 where T c is highest.
5To investigate the spin-pairing symmetry, the Knight shift has been measured both in a powder sample 6 and in a single crystal.7 It has been found that the shift decreases below T c along both the a-axis and c-axis directions.7 This indicates that the Cooper pairs are in the singlet form. Therefore, the experimental results strongly suggest that the superconductivity is of d-wave symmetry.In this paper, we report nuclear quadrupole resonance ͑NQR͒ studies on Na x CoO 2 · 1.3H 2 O with the highest T c = 4.8 K under pressure ͑P͒, in order to get a hint as to the mechanism of the superconductivity. We investigate the correlation between T c and the electronic states. We have measured T c , NQR frequency Q , and the spin-lattice relaxation rate 1 / T 1 under pressures up to 2.36 GPa. We find that T c decreases with increasing pressure at an average rate of −0.49± 0.09 K / GPa. At low pressures P ഛ 0.49 GPa, the decrease of T c is due to a weakening of the spin correlations and a reduction of the de...