Bose–Einstein modelling of temperature-dependent phonon-assisted band-to-band radiative recombination in 4H-SiC
Bibliographic record
Abstract
Temperature-dependent variation in the intensity of 390 nm phonon-assisted, band-to-band radiative recombination in 4H-SiC is measured from −156 to 86.5 °C. Our data show a consistent rise in electroluminescence intensity with increasing temperature in a SiC p–n junction. Derivation of an appropriate model, based on single, dominant electron–phonon coupling and Bose–Einstein phonon occupancy statistics, is shown to fit well with our experimental data. We observe a single phonon–electron coupling, and we directly obtain a phonon frequency of 20.4 THz, which is within experimental error of literature optical phonon frequencies in SiC. We use curve fitting to obtain values of the required unknown constants for the first time without resorting to any adjustable parameters. The direct proportionality between the rate of radiative recombination and the absorption coefficient is reaffirmed. Further application of our modelling is presented using literature data for 4H-SiC electroluminescence extending up to 526.85 °C. We further identify phonon overtones and/or phonon combination modes that may participate in assisting with the band-to-band radiative recombination in indirect bandgap semiconductors. We make available our curve-fitting app to researchers for their ease of use.
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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 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".