A modified 1/ $f$ noise model has been proposed for MOSFETs with an ultra-thin gate oxide layer. It is revealed that as the gate length $L$ deceases, the normalized drain current noise spectra density also decreases, which does not coincide with the regular 1/ $f$ noise theory. It is found that the trap-assisted gate leakage affects the drain current 1/ $f$ noise, and for the first time, it is demonstrated that the equivalent oxide trap density, the free carrier density, as well as $L$ determine the 1/ $f$ noise. A modified quantitative model is then proposed, which can well predict the 1/ $f$ noise.
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