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We report $^{123}$Sb nuclear quadrupole resonance (NQR) measurements of thefilled skutterudite heavy-fermion superconductor PrOs$_4$Sb$_{12}$ under highpressure. The temperature dependence of NQR frequency and the spin-latticerelaxation rate $1/T_1$ indicate that the crystal-electric-field splitting$\Delta_{\rm CEF}$ between the ground state $\Gamma_1$ singlet and the firstexcited state $\Gamma_4^{(2)}$ triplet decreases with increasing pressure.Ac-susceptibility measurements indicate that the superconducting transitiontemperature ($T_{\rm c}$) also decreases with increasing pressure. However,above $P$ $\sim$ 2 GPa, both $\Delta_{\rm CEF}$ and $T_{\rm c}$ do not dependon external pressure up to $P$ = 3.82 GPa. These pressure dependences of$\Delta_{\rm CEF}$ and $T_{\rm c}$ suggest an intimate relationship betweenquadrupole excitations associated with the $\Gamma_4^{(2)}$ level andunconventional superconductivity in PrOs$_4$Sb$_{12}$. In the superconductingstate, 1/$T_1$ below $T_{\rm c}$ = 1.55 and 1.57 K at $P$ = 1.91 and 2.63 GPashows a power-law temperature variations and are proportional to $T^5$ attemperatures considerably below $T_{\rm c}$. These data can be well fitted bythe gap model $\Delta(\theta) = \Delta_0\sin\theta$ with $\Delta_0$ = 3.08$k_{\rm B}T_{\rm c}$ and 3.04 $k_{\rm B}T_{\rm c}$ for $P$ = 1.91 and 2.63 GPa,respectively. The results indicate there exists point nodes in the gapfunction.

physical review. b, condensed matter and materials physics

123Sb-NQR study of unconventional superconductivity in the filled  skutterudite heavy-fermion compound PrOs4Sb12 under high pressure up to P =  3.82 GPa