OTF1

A.1 OTF1

The simplest OTF model, in the following named OTF1, assumes $θ$ to be small, $VD$ to be small compared to $VG$ and $V θ$ , and $μeff$ as constant ( $β = 1$ ) [36, 49]. Equation (A.1) then simplifies to

ID,lin = βVD (VG − Vθ).

(A.2)

With only $Vθ$ contributing to the total differential

∂ID,lin ∂ID,lin ∂ID,lin dID,lin = -----dV θ + -----d β + ------dVG + ⋅⋅⋅ ∂Vθ ∂β ∂VG

and by approximating $ΔID,lin ≈ dID,lin$ yields

∂ID,lin ∂ID,lin ΔID,lin = ∂Vθ ΔV θ = − ∂VG ΔV θ. ◟-◝◜-◞ ◟-◝◜-◞ −βVD gm

(A.3)

Equating (A.2) with (A.3) finally gives

OTF,1 ΔID,lin ΔID,lin ΔV θ ≈ − -------(VG − V θ) = −------. ID,lin gm

(A.4)

Note the similarity to (2.9) in (A.4). Hence, OTF1 only requires the determination $ID,lin$ during stress but neglects the mobility reduction described by $β$ and $θ$ .

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