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The influence of a rectangular potential barrier on the quantum transport offermions in silicene is explored. Specifically, analytical solutions arepresented to derive transmission and reflection probabilities together withconductance. It is shown that the transmission is highly sensitive to both thebarrier height and incident energy. As a result, the occurrence of Klein andresonant tunnelings is observed, with a significant dependence on the barrierwidth. Notably, it is found that perfect transmission extends beyond normalincidence, occurring at various oblique angles. Moreover, the transmissionpattern exhibits a more fragmented structure with increasing barrier width,reminiscent of Fabry-P\'erot resonances. In contrast, the conductance displaysa non-monotonic dependence on incident energy and features rapid oscillationswith a rising barrier height. However, at a constant barrier height, there is aminimal disparity among conductance profiles for high incident energy values.When incident energy equals the barrier height, the conductance experiences alocal minimum. For a thin barrier, a substantial reduction in conductance isobserved, unlike the oscillatory behavior seen with a thicker barrier. Thesefindings underscore the progress in silicene research and offer a freshperspective on the relativistic applications of tunneling in this material.

Tunneling effect of fermions in silicene through potential barrier