Abstract
We report low-temperature specific-heat measurements in magnetic fields up to 12 T applied parallel and perpendicular to the tetragonal $c$ axis of the heavy fermion superconductor Ce${}_{2}$PdIn${}_{8}$. In contrast to its quasi-two-dimensional (2D) relative CeCoIn${}_{5}$, the system displays an almost isotropic upper critical field. While there is no indication for a high-field and low-temperature phase in Ce${}_{2}$PdIn${}_{8}$, the data suggest a smeared weak first-order superconducting transition close to ${H}_{c2}\ensuremath{\approx}2$ T. The normal-state electronic specific-heat coefficient displays logarithmically divergent behavior, comparable to CeCoIn${}_{5}$ and in agreement with 2D quantum criticality of spin-density-wave type.
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