A unified model for vertical doped and polarized superjunction GaN devices
Bibliographic record
Abstract
A unified model is proposed to characterize the breakdown voltage (BV) and specific on-resistance (Ron,sp) for vertical doped superjunction (d-SJ) and polarized superjunction (p-SJ) GaN power devices. This study is based on the recently published compensated-pillar superjunction (cp-SJ) structure. A two-dimensional model for the electric field is analytically formulated using the Green's function method. Numerical calculations and TCAD simulations demonstrate that, for a given pillar depth, the p-SJ device has a lower BV than the d-SJ device with a wide pillar width. However, when the pillar width is less than 200 nm, both devices demonstrate a maximum BV that is close to the intrinsic structure. The Ron,sp unified model for the cp-SJ device, taking into account the junction field-effect transistor (JFET) effect in the drift region, also demonstrates that the p-SJ device has a superior Ron,sp over the d-SJ device. Considering the recently published impact ionization coefficients, the BV of the p-SJ device is analytically modeled as a function of the pillar depth. Finally, by applying the Lambert W-function, an exact closed-form relationship between Ron,sp and BV is presented.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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 teacher head, 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".