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The gap structure of a novel uranium-based superconductor UTe$_2$, situatedin the vicinity of ferromagnetic quantum criticality, has been investigated viaspecific-heat $C(T,H,\Omega)$ measurements in various field orientations. Itsangular $\Omega(\phi,\theta)$ variation shows a characteristic shoulder anomalywith a local minimum in $H \parallel a$ at moderate fields rotated within the$ab$ and $ac$ planes. Based on the theoretical calculations, these features canbe attributed to the presence of point nodes in the superconducting gap alongthe $a$ direction. Under the field orientation along the easy-magnetization $a$axis, an unusual temperature dependence of the upper critical field at lowfields together with a convex downward curvature in $C(H)$ were observed. Theseanomalous behaviors can be explained on the basis of a nonunitary triplet statemodel with equal-spin pairing whose $T_{\rm c}$ is tuned by the magnetizationalong the $a$ axis. From these results, the gap symmetry of UTe$_2$ is mostlikely described by a vector order parameter of $d(k)=(b + ic)(k_b + ik_c)$.

Orientation of point nodes and nonunitary triplet pairing tuned by the easy-axis magnetization in UTe2