Accounting for Mobility Reduction, Body Effect, and Drift Velocity Saturation in the Extrinsic MOSFET Saturation Current Equation
Bibliographic record
Abstract
Abstract The equation for the saturation current of an intrinsic (without taking into account parasitic source and drain resistances) MOSFET can be found in textbooks. An extrinsic MOSFET has parasitic resistors in series with its source and drain terminals. The equation for the saturation current of an extrinsic MOSFET also can be found in textbooks. It accounts for the velocity saturation effect, but it does not account for the body effect and the effect of carrier mobility reduction due to the normal electric field under the gate. Modern transistors with steep retrograde body doping profiles exhibit a more or less linear relationship between a threshold voltage and a source-to-body bias. Previously we have incorporated the body effect into equation for the saturation current of an extrinsic MOSFET with steep retrograde body doping profile. Later we incorporated the effect of mobility reduction under the gate (without accounting for the body effect) into equation for the saturation current of an extrinsic MOSFET. Finally, we derived the equation for saturation current of an extrinsic MOSFET with steep retrograde body doping profile with accounting for the mobility reduction under the gate, velocity saturation and the body effect. The carrier mobility reduction is accounted for by the simplest approximation which is used in the MOSFET Level 3 compact model. The velocity saturation is accounted for by assuming the simplest linear-piecewise approximation for the drift velocity dependence on the electric field.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".