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We present a novel phase diagram for the antiferromagnetism andsuperconductivity in Ce$_2$RhIn$_8$ probed by In-NQR studies under pressure($P$). The quasi-2D character of antiferromagnetic spin fluctuations in theparamagnetic state at $P$ = 0 evolves into a 3D character because of thesuppression of antiferromagnetic order for $P > P_{\rm QCP}\sim$ 1.36 GPa (QCP:antiferromagnetic quantum critical point). Nuclear-spin-lattice-relaxation rate$1/T_1$ measurements revealed that the superconducting order occurs in the $P$range 1.36 -- 1.84 GPa, with maximum $T_c\sim$ 0.9 K around $P_{\rm QCP}\sim$1.36 GPa.

Novel phase diagram for antiferromagnetism and superconductivity in pressure-induced heavy-fermion superconductor Ce$_2$RhIn$_8$ probed by In-NQR