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We report $^{115}$In nuclear-quadrupole-resonance (NQR) measurements of thepressure($P$)-induced superconductor CeRhIn$_5$ in the antiferromagnetic (AF)and superconducting (SC) states. In the AF region, the internal field $H_{int}$at the In site is substantially reduced from $H_{int}=1.75$ kOe at P=0 to 0.39kOe at $P=1.23$ GPa, while the N\'eel temperature slightly changes withincreasing $P$. This suggests that either the size in the ordered moment$M_{Q}(P)$ or the angle $\theta (P)$ between the direction of $M_{Q}(P)$ andthe tetragonal $c$ axis is extrapolated to zero at $P^*=1.6 \pm 0.1$ GPa atwhich a bulk SC transition is no longer emergent. In the SC state at $P=2.1$GPa, the nuclear spin-lattice relaxation rate $^{115}(1/T_1)$ has revealed a$T^3$ dependence without the coherence peak just below $T_c$, giving evidencefor the unconventional superconductivity. The dimensionality of the magneticflutuations in the normal state are also discussed.Comment: 8pages,4figures,submitted to Phys. Rev. B. Rapid

physical review. b, condensed matter

Pressure-induced anomalous magnetism and unconventional superconductivity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CeRhIn</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>:</mml:mo></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>115</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:…

Pressure-induced anomalous magnetism and unconventional superconductivity inCeRhIn5:115