Anomalous temperature evolution of the Dirac band in ZrTe$_5$ across topological phase transition

Characteristic features of topological phase transition (TPT) in solid-state materials usually compose of a non-monotonic band gap evolution across the parameter space and a gap closure at the transition point. Here, using semiconducting zirconium pentatelluride (ZrTe5) and magneto-infrared spectroscopy, we identify a TPT from a strong topological insulator (TI) to a weak TI with increasing temperatures, but the band gap exhibits different behavior. Specifically, we find that the bandgap in ZrTe5 does not fully close at the TPT, and it becomes temperature independent at lower temperatures. Our observations can be explained by considering the effect of conduction-valence band mixing and band inversion in the strong TI phase of ZrTe5 at low temperatures.