The influence of a a rectangular potential barrier on the quantum transport of fermions in silicene is explored. Specifically, analytical solutions are presented to derive transmission and reflection probabilities together with conductance. It is shown that the transmission is highly sensitive to both the barrier height and incident energy. As a result, the occurrence of Klein and resonant tunnelings is observed, with a significant dependence on the barrier width. Notably, it is found that perfect transmission extends beyond normal incidence, occurring at various oblique angles. Moreover, the transmission pattern exhibits a more fragmented structure with increasing barrier width, reminiscent of Fabry‐Pérot resonances. In contrast, the conductance displays a non‐monotonic dependence on incident energy and features rapid oscillations with a rising barrier height. However, at a constant barrier height, there is a minimal disparity among conductance profiles for high incident energy values. When incident energy equals the barrier height, the conductance experiences a local minimum. For a thin barrier, a substantial reduction in conductance is observed, unlike the oscillatory behavior seen with a thicker barrier. These findings underscore the progress in silicene research and offer a fresh perspective on the relativistic applications of tunneling in this material.

中文翻译：

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硅烯中费米子穿过势垒的隧道效应

探讨了矩形势垒对硅烯中费米子量子输运的影响。具体来说，提出了解析解来导出传输和反射概率以及电导。结果表明，传输对势垒高度和入射能量都高度敏感。结果，观察到克莱因隧道效应和共振隧道效应的发生，并且显着依赖于势垒宽度。值得注意的是，我们发现完美的透射超出了法线入射，发生在各种倾斜角度。此外，随着势垒宽度的增加，传输模式呈现出更加碎片化的结构，让人想起法布里-珀罗共振。相反，电导表现出对入射能量的非单调依赖性，并且随着势垒高度的增加而快速振荡。然而，在恒定的势垒高度下，高入射能量值的电导分布之间的差异最小。当入射能量等于势垒高度时，电导经历局部最小值。对于薄势垒，观察到电导显着降低，这与较厚势垒的振荡行为不同。这些发现强调了硅烯研究的进展，并为这种材料中隧道效应的相对论应用提供了新的视角。