Topological nature of FeSe$_{0.5}$Te$_{0.5}$ superconductor

Abstract: We demonstrate, using first-principles calculations, that the electronic structure of FeSe${1-x}$Te${x}$ ($x$=0.5) is topologically non-trivial, characterized by an odd $\mathbb Z_2$ invariant and Dirac cone type surface states, in sharp contrast to the end member FeSe ($x$=0). This topological state is induced by the enhanced three-dimensionality and spin-orbit coupling due to Te substitution (compared to FeSe), characterized by a band inversion at the $Z$ point of the Brillouin zone, which is confirmed by our ARPES measurements. The results suggest that the surface of FeSe${0.5}$Te${0.5}$ may support a non-trivial superconducting channel in proximity to the bulk.