Modeling the Short-Channel Effects in Coplanar Organic Thin-Film Transistors

We have developed models for three different short-channel effects [subthreshold-swing degradation, threshold-voltage roll-off, and drain-induced barrier lowering (DIBL)] in coplanar organic thin-film transistors (TFTs) and verified them against the measured current–voltage characteristics of TFTs having channel lengths as small as
$0.5 \mu \text{m}$
. To derive the models, the Schwarz–Christoffel transformation was applied to obtain a complex mapping function that links the coplanar device geometry to an equivalent geometry in a different coordinate system in order to solve Laplace’s equation of the 2-D potential problem. The solution to this potential problem serves as the basis for the definition of the short-channel models, which can be incorporated into any compact dc models for coplanar TFTs that use the TFTs’ threshold voltage and subthreshold swing as input parameters. To verify the model, the channel-length-dependent effects were extracted from technology computer-aided design (TCAD) simulations (transfer characteristics and surface-potential profile) and from measurements performed on organic p-channel TFTs fabricated using high-resolution stencil lithography.