  Lately, the three-dimensional (3D) Dirac semimetal, which possesses 3D linear
dispersion in electronic structure as a bulk analogue of graphene, has
generated widespread interests in both material science and condensed matter
physics. Very recently, crystalline Cd3As2 has been proposed and proved to be
one of 3D Dirac semimetals which can survive in atmosphere. Here, by controlled
point contact (PC) measurement, we observe the exotic superconductivity around
point contact region on the surface of Cd3As2 crystal. The observation of zero
bias conductance peak (ZBCP) and double conductance peaks (DCPs) symmetric to
zero bias further reveal p-wave like unconventional superconductivity in Cd3As2
quantum matter. Considering the topological property of the 3D Dirac semimetal,
our findings may indicate that the Cd3As2 crystal under certain conditions is a
candidate of the topological superconductor, which is predicted to support
Majorana zero modes or gapless Majorana edge/surface modes in the boundary
depending on the dimensionality of the material.
