Floquet flat-band engineering of twisted bilayer graphene

Twisted Bilayer Graphene at the magic twist angle features flat energy bands, which lead to superconducitvity and strong correlation physics. These unique properties are typically limited to an extremely narrow range of twist angles around the magic angle. Here we demonstrate that coherent optical irradiation could lead to emergence of flat isolated Floquet-Bloch bands at a wide range of small twist angles. At small twist angles larger than 1°, these bands exhibit non-trivial topology and a non-zero chern number. We show that the effect can potentially be realized with relatively weak optical beams at the visible-infrared range, potentially allowing for realization of optically tuned flat bands.