Floquet-engineering topological transitions in a twisted transition metal dichalcogenide homobilayer
Motivated by the recent experimental realization of twisted transition metal dichalcogenide bilay- ers, we study a simpliﬁed model driven by diﬀerent forms of monochromatic light. As a concrete and representative example we use parameters that correspond to a twisted MoTe2 homobilayer. First, we consider irradiation with circularly polarized light in free space and demonstrate that the corre- sponding Floquet Hamiltonian takes the same form as the static Hamiltonian, only with a constant overall shift in quasi-energy. This is in stark contrast to twisted bilayer graphene, where new terms are typically generated under an analagous drive. Longitudinal light, on the other hand, which can be generated from the transverse magnetic mode in a waveguide, has a much more dramatic eﬀect–it renormalizes the tunneling strength between the layers, which eﬀectively permits the tuning of the twist angle in-situ. We ﬁnd that, by varying the frequency and amplitude of the drive, one can induce a topological transition that cannot be obtained with the traditional form of the Floquet drive in free space. Furthermore, we ﬁnd that strong drives can have a profound eﬀect on the layer pseudo-spin texture of the twisted system, which coincides with multiple simultaneous band gap closings in the inﬁnite-frequency limit. Surprisingly, these bandgap closings are not associated with topological transitions. For high but ﬁnite drive frequencies near 0.7eV, the inﬁnite-frequency band crossings become band gap minima of the order of 10−6 eV or smaller.