Many researches report that the mobility in organic material is dependent on not only the gate field but also the grain size.
There is also some evidence to prove that the gate length is strongly related to the carrier mobility. We construct both the
analytical model of organic thin film transistor and the large signal circuit model designed by T-CAD to fit the measured
I DS - V DS curves. We first apply basic I DS - V DS equations in both triode and saturation regions with mobility μ best
fitted to measured I-V curves. The "best-fitted" μ increases with the gate length, and is related to the increase of total
channel resistance due to the presence of small grains size of pentacene next to source/drain electrodes. We then use the
Advanced Design System software to design the large signal circuit model. Similar to the MOSFET, we add the
additional parameters to fit the I DS - V DS curves, ex: Rgd, Rgs, and Rp. Here, Rgd. With the circuit simulation, we find
that Rgd presents the leakage current from gate to source, and it affects the slope of curves in the saturation region in the
I DS - V DS curves. The equivalent circuit can fit the I DS - V DS curves very well with the proper parameter set.