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FeSe${}_{0.45}$Te${}_{0.55}$ (FeSeTe) has recently emerged as a promisingcandidate to host topological superconductivity, with a Dirac surface state andsignatures of Majorana bound states in vortex cores. However, correlationsstrongly renormalize the bands compared to electronic structure calculations,and there is no evidence for the expected bulk band inversion. We present herea comprehensive angle resolved photoemission (ARPES) study of FeSeTe asfunction of photon energies ranging from 15 - 100 eV. We find that although thetop of bulk valence band shows essentially no $k_z$ dispersion, its normalizedintensity exhibits a periodic variation with $k_z$. We show, using ARPESselection rules, that the intensity oscillation is a signature of bandinversion indicating a change in the parity going from $\Gamma$ to Z. Thus weprovide the first direct evidence for a topologically non-trivial bulk bandstructure that supports protected surface states.

Band inversion and topology of the bulk electronic structure in FeSe${}_{0.45}$Te${}_{0.55}$