A universal core model for multiple-gate field-effect transistors. Part I: Charge model

A universal core model for multiple-gate field-effect transistors (Mug-FETs) is proposed. The proposed charge and drain current models are presented in Parts I and II, respectively. It is first demonstrated that an exact potential profile in the entire channel is not necessary for the derivation of accurate charge models in inversion-mode FETs. With application of this new concept, a universal charge model is derived for Mug-FETs by assuming an arbitrary channel potential profile, which simplifies the mathematical formulation. Thereafter, using the Pao-Sah integral, a drain current model is obtained from the charge model of Part I. The proposed model can be expressed as an explicit and continuous form for all operation regimes; therefore, it is well suited for compact modeling to support fast circuit simulations. The model shows good agreement with 2-D and 3-D numerical simulations for several multiple-gate structures, such as single-gate, double-gate, triple-gate, rectangular gate-all-around, and cylindrical gate-all-around FETs.