We study the effects of different nanopore geometries (double-conical, single-conical, cylindrical) on the electrostatic potential distribution and ionic conductivity in a double-layered semiconductor nanopore device as functions of the applied membrane bias. Ionic current-voltage characteristics as well as their rectification ratios are calculated using a simple ion transport model. Based on our calculations, we find that the double-layered semiconductor membrane with a single-conical nanopore with a narrow opening in the n-Si layer exhibits the largest range of available potential variations in the pore and, thus, may be better suited for control of polymer translocation through the nanopore.
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