Theoretical investigation of carrier capture and escape processes in cylindrical quantum dots
Bibliographic record
Abstract
In order to optimize the design of various optoelectronic devices utilizing quantum dots (QD), we must better understand the properties of carrier capture and escape times in these systems. Some of the properties of cylindrical quantum dots were studied. The wavefunctions and eigenenergies of a cylindrical quantum dot were approximated by a product of solutions of an infinite cylinder and a quantum well. It was assumed that the majority of transitions are caused by absorption/emission of polar optical phonons, and Fermi's golden rule was applied to calculate the transition rates to and from the QD. We have restricted our calculations to one-phonon (first order) processes only. We determined the carrier capture and escape times as a function of the size of the QD and carrier density. We have shown that the smallest capture times are achieved if the QD has only one quantum level. A short capture time is also achieved for a low carrier density. Similarly, the capture time has the smallest value when the QD has only one quantum level. The dependence of the carrier escape time for a fixed dot dimension shows a minimum as a function of carrier density. For small QDs, the capture and escape times are approximately independent of carrier density.
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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".