On Moderate Inversion/Saturation Regions As Approximations to "Reconciliation" Model

The paper proposes analytical definitions of moderate inversion and moderate saturation. These definitions are introduced considering two different series expansions for the function ln2(x). The expansions are “matched”: the upper limit for convergence of the first series and the lower limit for convergence of the second series define the border and transition from weak to moderate inversion/saturation. The moderate inversion/saturation corresponds to approximation of the function ln2(x) by a modified sum of two first terms of the second series. Then, the condition of inversion/saturation is defined by dominance of one term with respect to another. The condition of moderate inversion/saturation is a necessary step in transition from weak to strong inversion/saturation. The introduced definitions correspond to MOS transistor operation physics and eliminate discontinuity in this transition.