Electron and hole quantization and their impact on deep submicron silicon p- and n-MOSFET characteristics

A first-principles approach to inversion layer quantization, valid for arbitrarily complex band structures, has been developed. This has allowed, for the first time, hole quantization and its effects on p-MOSFET device characteristics to be studied. In addition, electron quantization effects are revisited, improving on previous, simpler approaches. In particular, the impact of quantization on the threshold voltages and "effective" gate oxide thicknesses of p- and n-MOSFETs is investigated. A simple compact model is provided to quantitatively describe the threshold voltage shifts at 300 K as a function of the doping concentration and the oxide thickness. The significance of hole quantization for buried channel p-MOS structures is also studied. The results can be used to both identify and model these effects using popular device simulators.