Novel superconductivity on the magnetic criticality in heavy-fermion   systems : a systematic study of NQR under pressure
  We report the discovery of exotic superconductivity (SC) and novel magnetism in heavy-fermion (HF) compounds, CeCu$_2$Si$_2$, CeRhIn$_5$ and CeIn$_3$ through nuclear-quadrupole-resonance (NQR) measurements under pressure ($P$). The exotic SC in a homogeneous CeCu$_2$Si$_2$ revealed antiferromagnetic critical fluctuations at the border to antiferromagnetism (AFM) or marginal AFM. The uniform mixed phase of SC and AFM in CeCu$_2$(Si$_{1-x}$Ge$_x$)$_2$ emerges on a microscopic level, once a tiny amount of 1%Ge($x=0.01$) is substituted for Si to expand its lattice. The application of minute pressure ($P\sim 0.19$ GPa) suppresses the sudden emergence of the AFM caused by doping Ge. The persistence of the low-lying magnetic excitations at temperatures lower than $T_c$ and $T_N$ is ascribed due to the uniform mixed phase of SC and AFM. Likewise, the $P$-induced HF superconductor CeRhIn$_5$ coexists with AFM on a microscopic level in $P = 1.5$ - 1.9 GPa. The unconventional gapless nature of SC in the low-lying excitation spectrum emerges due to the uniform mixed phase of AFM and SC. By contrast, in CeIn$_3$, we propose that the magnetic excitations such as spin-density fluctuations induced by the first-order phase transition from the AFM to the paramagnetism (PM) might mediate attractive interaction to form the Cooper pairs in the novel phase of AFM. 
Y. Kitaoka, S. Kawasaki, Y. Kawasaki, T. Mito and G.-q. Zheng