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Lowering of the thickness of a thin-film three-dimensional topologicalinsulator down to a few nanometers results in the gap opening in the spectrumof topologically protected two-dimensional surface states. This phenomenon,which is referred to as the anomalous finite-size effect, originates fromhybridization between the states propagating along the opposite boundaries. Inthis work, we consider a bismuth-based topological insulator and show how thecoupling to an intense high-frequency linearly polarized pumping can further beused to manipulate the value of a gap. We address this effect within recentlyproposed Brillouin-Wigner perturbation theory that allows us to map atime-dependent problem into a stationary one. Our analysis reveals that boththe gap and the components of the group velocity of the surface states can betuned in a controllable fashion by adjusting the intensity of the driving fieldwithin an experimentally accessible range and demonstrate the effect oflight-induced band inversion in the spectrum of the surface states for highenough values of the pump.

Impact of high-frequency pumping on anomalous finite-size effects in three-dimensional topological insulators