This work examines the effect of band bending on the valley polarization of electron transport through zigzag silicene nanoribbons (ZSiNRs) subject to perpendicular edge electric fields. When the edge electric fields are antisymmetric, the induced edge potential (UAE) determines the Fermi energy (EF) at which the valley polarization PKK’ changes sign. In the band-bending region, PKK’ shows plateaus with values of −1/3, −1/5, −1/7, etc. The band bending and the energy region with PKK’ < 0 grow as UAE increases. When UAE = 0.63t (t = 1.6 eV) and |EF| < 0.625t, PKK’ < 0. When the edge electric fields are symmetric, a conductance gap appears near EF = 0, two energy regions with PKK’ = 0 arise in the band-bending region, and the induced edge potential USE dictates the Fermi energy at which PKK’ changes from 0 to non-zero values. With increasing USE, the band bending increases, and the width of the conductance gap and energy regions with PKK’ = 0 widen, and plateaus with PKK’ = ±1, ±1/3, ±1/5, etc. vanish one by one. When USE = 0.8t and |EF| < 0.625t, the valley polarization of electron transport disappears completely. As UAE or USE increases to a certain degree, the band bending diminishes quickly, and the case of small UAE or USE gradually recovers. According to the above results, ZSiNRs under symmetric or antisymmetric perpendicular edge electric fields have potential applications in manufacturing versatile valleytronic devices.
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