Abstract

We have performed broadband zero-field and magneto-infrared spectroscopy of the three dimensional topological insulator Bi${}_{0.91}$Sb${}_{0.09}$. The zero-field results allow us to measure the value of the direct band gap between the conducting ${L}_{a}$ and valence ${L}_{s}$ bands. Under applied field in the Faraday geometry ($k\ensuremath{\parallel}H\ensuremath{\parallel}\text{C1}$), we measured the presence of a multitude of Landau level (LL) transitions, all with frequency dependence $\ensuremath{\omega}\ensuremath{\propto}\sqrt{H}$. We discuss the ramification of this observation for the surface and bulk properties of topological insulators.

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