Numerical analysis of capacitance compact models for organic thin-film transistors

Analytical expressions for the gate-voltage dependence of the channel capacitance and the gate-to-contacts overlap capacitances in top-contact organic thin-film transistors (OTFTs) are derived and implemented in an organic compact capacitance model. The resulting modified model is verified by experimental data of transistors with constant mobility. The same model is analyzed by numerical simulations for OTFTs with a voltage-dependent mobility. The simulation results indicate that the quasistatic model describes well the simulated capacitances. In accumulation, the modeled values are slightly overestimated because of the generally accepted assumption of the charge-sheet model. It is also demonstrated that the quasistatic regime occurs at lower frequencies because of the reduced mobility at lower charge carrier concentrations.