Anomalous Klein tunneling of optically controlled Dirac particles with elliptical dispersion

We investigate electron tunneling through an atomically smooth square potential barrier for the dice lattice and graphene under a linearly polarized, off-resonance, and high-frequency dressing field. We demonstrate anomalous Klein tunneling for nonzero angles of incidence when the dressed states of Dirac particles with optically controllable elliptical dispersion and the direction of incoming kinetic particles is misaligned. The nonzero angles of incidence are observed to depend on the light-induced anisotropy of the energy dispersion as well as the strength of the electron-light coupling. We observe larger off-peak transmission amplitudes in the dice lattice than in graphene. Our theoretical predictions could be applied to a wide range of Dirac materials and exploited in the control of coherent tunneling and ballistic transport in novel electronic, optical, and valleytronic switching devices.