  The motivation to search for signatures of superconductivity in Weyl
semi-metals and other topological phases lies in their potential for hosting
exotic phenomena such as nonzero-momentum pairing or the Majorana fermion, a
viable candidate for the ultimate realization of a scalable quantum computer.
Until now, however, all known reports of superconductivity in Weyl semimetals
have arisen through surface contact with a sharp tip, focused ion-beam surface
treatment or the application of high pressures. Here, we demonstrate the
observation of superconductivity in single crystals, even an as-grown crystal,
of the Weyl semi-metal tantalum phosphide (TaP), at ambient pressure. A
superconducting transition temperature, $Tc$, varying between 1.7 and 5.3 K, is
observed in different samples, both as-grown and microscopic samples processed
with focused ion beam (FIB) etching. Our data show that the superconductivity
present in the as-grown crystal is inhomogeneous yet exists in the bulk. For
samples fabricated with FIB, we observe, in addition to the bulk
superconductivity, a second superconducting state that resides on the sample
surface. Through measurements of the characteristic fields as a function of
temperature and angle, we are able to confirm the dimensionality of the two
distinct superconducting phases.
