Electron tunneling for Rashba model in graphene over a square potential barrier

We have calculated the transmission coefficient and the tunneling conductance across a square potential barrier for both graphene and a dice lattice in the presence of linearly polarized off-resonant dressing field. The linearly-polarized, external electromagnetic field induces anisotropy into the energy dispersion of tunneling electrons so that the cross section of a Dirac cone becomes elliptical. The wave vector, the spinor vector, and the group-velocity vector are no longer aligned to each other. The normal direction to a barrier layer in the tunneling system could be misaligned with the major axis of the ellipse, exhibiting an asymmetric Klein paradox for an off-normal-direction tunneling. The resulting tunneling current in this system is calculated by using a transmission coefficient and a longitudinal group velocity for different types of α-T₃ materials and misalignment angles.