  Cubic materials host high crystal symmetry and hence are not expected to
support anisotropy in transport phenomena. In contrast to this common
expectation, here we report an anomalous anisotropy of spin current can emerge
in the (001) film of Mn${_3}$Pt, a noncollinear antiferromagnetic spin source
with face-centered cubic structure. Such spin current anisotropy originates
from the intertwined time reversal-odd ($T$-odd) and time reversal-even
($T$-even) spin Hall effects. Based on symmetry analyses and experimental
characterizations of the current-induced spin torques in Mn${_3}$Pt-based
heterostructures, we find that the spin current generated by Mn${_3}$Pt (001)
exhibits exotic dependences on the current direction for all the spin
components, deviating from that in conventional cubic systems. We also
demonstrate that such an anisotropic spin current can be used to realize
low-power spintronic applications such as the efficient field-free switching of
the perpendicular magnetizations.
