Vertical organic field effect transistors (VOFET) and vertical static induction transistor (VSIT) have shown the advances of large on-current, high compatibility with sensors, ease of solution-processing and good mechanical flexibility. However, there has been no concise and explicit theories for these transistors. Here, we draw the physical images of the mechanisms, derive the electrostatic potentials, and propose the simple current-voltage relations for these vertical organic transistors. The theory has been verified by numerical simulation and are consistent with experimental results. The theories also provide guidances for device designing toward sharp turn-on properties, a large on-off ratio and good saturation degree.
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