Floquet engineering and nonequilibrium topological maps in twisted trilayer graphene

Motivated by the recent experimental realization of twisted trilayer graphene and observed superconductivity that is associated with its flat bands at specific angles, we study under influence different forms light in non-interacting limit. Specifically, four types stacking configurations a single layer. In all cases, impact circularly polarized longitudinal coming from waveguide. We derive effective time-independent Floquet Hamiltonians review light-induced changes to band structure. For light, find flattening effects as well gap openings. emphasize there rich topology, which summarize Chern number maps are for studied lattice configurations. The case so-called ABC top layer twist especially shows phase diagram depending on handedness light. Consequently, propose an experiment where this difference typologies could be captured via optical conductivity measurements. contrast waveguide, structure very closely related equilibrium one but magic angles can tuned in-situ varying intensity incident beam