  In this letter, we study the scattering of spin-$\frac{1}{2}$ particles from
a spin-independent parity time ($\cal PT$)-symmetric complex potential, and for
the first time, theoretically demonstrate the coexistence of $\cal
PT$-symmetric and $\cal PT$-broken phases for broadband energy spectra in this
system. We also show the existence of anisotropic transmission resonances,
accessible through the tuning of energy. Our results are promising for
applications in spintronics, semiconductor-based devices, and a better
understanding of the topological surface states.
