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We report the electronic and superconducting properties in the Pr-basedfilled-skutterudite superconductor PrRu$_4$Sb$_{12}$ with $T_c = 1.3$ K via themeasurements of nuclear-quadrupole-resonance (NQR) frequency $\nu_Q$ andnuclear-spin-lattice-relaxation time $T_1$ of Sb nuclei. The temperaturedependence of $\nu_Q$ has revealed the energy scheme of Pr$^{3+}$ crystalelectric field (CEF) that is consistent with an energy separation$\Delta_{CEF}\sim 70$K between the ground state and the first-excited state. Inthe normal state, the Korringa relation of $(1/T_1T)_{Pr}$=const. is valid,with [$(1/T_{1}T$)$_{Pr}$/$(1/T_{1}T$)$_{La}$]$^{1/2}$ $\sim$ 1.44 where$(1/T_1T)_{La}$ is for LaRu$_4$Sb$_{12}$. These results are understood in termsof a conventional Fermi liquid picture in which the Pr-$4f^2$ state derivesneither magnetic nor quadrupolar degrees of freedom at low temperatures. In thesuperconducting state, $1/T_1$ shows a distinct coherence peak just below$T_c$, followed by an exponential decrease with a value of 2$\Delta/k_{B}T_{c}$= 3.1. These results demonstrate that PrRu$_4$Sb$_{12}$ is a typicalweak-coupling s-wave superconductor, in strong contrast with the heavy-fermionsuperconductor PrOs$_4$Sb$_{12}$ that is in an unconventional strong couplingregime. The present study on PrRu$_4$Sb$_{12}$ highlights that thePr-$4f^2$derived non-magnetic doublet plays a key role in the unconventionalelectronic and superconducting properties in PrOs$_4$Sb$_{12}$.Comment: 4 page with 3 figures embedded in the text. Submitted in Phys. Rev.

physical review. b, condensed matter

Sb-NQR probe for superconducting properties in the Pr-based filled-skutterudite compound<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">PrRu</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Sb</mml:mi></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Sb-NQR probe for superconducting properties in the Pr-based filled-skutterudite compoundPrRu4Sb12