Floquet graphene antidot lattices

We establish the theoretical foundation of Floquet graphene antidot lattice, whereby massless Dirac fermions are driven periodically by a circularly polarized electromagnetic field, while having their motion excluded from an array nanoholes. The properties interest encoded in quasienergy spectra, which computed non-perturbatively within formalism. find that rich phase diagram emerges as amplitude drive field is varied. Notably, dispersion can be restored real time relative to gapped equilibrium state, may enable creation optoelectronic switch or dynamically tunable electronic waveguide. As increased, ability shift gap between high-symmetry points change crystal momenta dominate scattering processes relevant transport and optical emission. Furthermore, bands flattened near $\Gamma$ point, indicative selective dynamical localization. Lastly, quadratic linear dispersions emerge orthogonal directions at $M$ signaling semi-Dirac material. Importantly, all our predictions valid for experimentally accessible near-IR radiation, corresponds above bandwidth limit lattice. Cycling engineered phases play key role development next-generation on-chip devices applications.