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In superconductors, electrons with spin ${s=1/2}$ form Cooper pairs whosespin structure is usually singlet (${S=0}$) or triplet (${S=1}$). When theelectronic structure near the Fermi level is characterized by fermions withangular momentum ${j=3/2}$ due to strong spin-orbit interactions, novel pairingstates such as even-parity quintet (${J=2}$) and odd-parity septet (${J=3}$)states become allowed. Prime candidates for such exotic states are half-Heuslersuperconductors, which exhibit unconventional superconducting properties, buttheir pairing nature remains unsettled. Here we show that the superconductivityin the noncentrosymmetric half-Heusler LuPdBi can be consistently described bythe admixture of isotropic even-parity singlet and anisotropic odd-parityseptet pairing, whose ratio can be tuned by electron irradiation. Frommagnetotransport and penetration depth measurements, we find that carrierconcentrations and impurity scattering both increase with irradiation,resulting in a nonmonotonic change of the superconducting gap structure. Ourfindings shed new light on our fundamental understanding of unconventionalsuperconducting states in topological materials.

Tuning the Parity Mixing of Singlet-Septet Pairing in a Half-Heusler Superconductor