Abstract
An analytical model to calculate the nanocrystalline silicon (nc-Si) ultra-thin film transistors (UTFT) surface potential is proposed. This pattern repose on an ultrathin channel with a columnar morphology. Our approach is based on the charge trapping at the grain boundary, the welldefined charge distribution into the inversion layer, and the consideration of quantum size effects on dielectric constant and band gap. Results denote that, the surface potential is associated to the silicon crystallites size and geometry. The comparison of our results with existing research model shows a good agreement between the surface potential shapes, and an interesting difference in the surface potential variation, caused essentially by the morphology considered.