Enhanced Fano factor in a molecular transistor coupled to phonons and Luttinger-liquid leads
Bibliographic record
Abstract
We study how the electron-phonon coupling and intralead electron interaction affects the transport properties of a molecular quantum dot coupled to leads. We consider the effects on the steady-state current and dc noise for both equilibrated and unequilibrated on-dot phonons. The density matrix formalism is applied in the high-temperature approximation and the resulting semiclassical rate equation is numerically solved for various strengths of electron-electron interactions in the leads and electron-phonon coupling. We have found that the Fano factor, which measures the noise to current ratio, is enhanced as the intralead electron interaction is increased, while both the current and its noise are smeared out and suppressed due to the interaction. Interestingly, the Fano factor exhibits super-Poissonian behavior as the electron-phonon coupling becomes greater than order one.
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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".