Three-dimensional analytical subthreshold models for bulk MOSFETs

Three-dimensional device-physics-based analytical models are developed for subthreshold conduction in uniformly doped small geometry (i.e., simultaneously short channel and narrow width) bulk MOSFETs, for various isolation schemes. Inverse-narrow width effects, where the threshold voltage decreases with decreasing channel width, are predicted by the model for trench isolated MOSFETs. For LOGOS isolated MOSFETs, conventional narrow width effects, where the threshold voltage increases due to decreasing channel width, are predicted. The narrow width effects are found to be comparable to the short channel effects in the absence of significant applied drain biases. However, for larger drain biases, the short channel effects outweigh the narrow width effects due to the weaker potential perturbation at the device width edges compared to the drain end. Unlike the threshold voltage, the subthreshold swing of the device is found to increase with reduced device dimensions regardless of the isolation scheme since both conventional and inverse narrow width effects result in weaker control of the surface potential by the gate.