We have investigated electron tunneling through an atomically smooth square potential barrier for both the dice lattice and graphene under a linearly polarized off-resonant and high-frequency dressing field. We have demonstrated Klein tunneling for a nonzero angle of incidence which is due to a nonalignment of optically controllable elliptical energy dispersions for the dressed states of Dirac particles and the direction of incoming kinetic particles. This finite angle of incidence has been found to depend on the light-induced anisotropy of energy dispersion, which is a function of the electron-light coupling strength, as well as the misalignment between directions of the light polarization and the electron beam incident on the potential barrier. Additionally, we have discovered much larger off-peak transmission amplitudes for dice lattices in contrast to graphene. We anticipate that the theoretical predictions could be applied to a wide range of Dirac materials and exploited for controlling both coherent tunneling and ballistic transport of electrons in the construction of novel electronic, optical, and valleytronic nanoscale switching devices.

中文翻译：

---

具有椭圆形色散的光学可调狄拉克粒子的克莱因隧道效应

我们已经研究了在线性极化的非共振和高频修整场下，通过骰子晶格和石墨烯在原子上光滑的方形势垒的电子隧穿。我们已经证明了非零入射角的Klein隧道效应，这是由于Dirac粒子的整修状态和入射动力学粒子的方向的光学可控椭圆形能量散布不对准所致。已经发现这种有限的入射角取决于能量散布的光致各向异性，该各向异性是电子-光耦合强度的函数，以及光的偏振方向和入射在电子束上的电子束之间的未对准。潜在的障碍。另外，我们发现与石墨烯相比，骰子晶格的非高峰传输幅度更大。我们预计，理论预测可以应用于多种Dirac材料，并可以用于控制新型电子，光学和山谷电子纳米级开关器件的电子相干隧穿和弹道传输。