lattices under linearly polarized irradiation

We have considered electron tunneling through a square electrostatic potential barrier for Floquet states, i.e., pseudospin-1 Dirac electrons coupled to a dressing, off-resonant field which is linearly polarized. While for the dice lattice we can still observe an asymmetric Klein tunneling, i.e., perfect transmission for electrons colliding with the barrier that is different from the head-on case, the Klein paradox is completely suppressed for the α-T₃ lattice in general with α ≠ 1. We have also calculated electron transmission for finite incidence angles and the tunneling conductance corresponding to these transmission amplitudes.