Exploring unconventional superconductivity in the topological 3D Dirac Semimetal PdTe

PdTe is a 3D Dirac semimetal, exhibiting type- II superconducting behavior with a transition temperature (Tc) ∼ 4.5 K. Recent angle-resolved photo-emission spectroscopy (ARPES) experiments have revealed the coexistence of bulk-nodal and surface-nodeless cooper pairings in PdTe. Our field-dependent specific heat data down to temperatures around ∼ 58 mK shows a power-law field dependence, which differs from the usual linear behavior expected for an isotropic fully gapped s-wave superconductor. Additionally, our zero-field specific heat data reveals a clear ∼ T^3 temperature dependence at low temperatures (T < Tc/3), suggesting the presence of bulk point nodes in the superconducting order parameter of PdTe. We propose a muon-spin rotation (μSR) study to probe time reversal symmetry breaking and the superconducting energy gap symmetry in single crystal PdTe.