Spin-dependent magnetotransport through a mesoscopic ring in the presence of spin-orbit interaction
Bibliographic record
Abstract
The Schr\"odinger equation for an electron in a mesoscopic ring, in the presence of the Rashba and linear Dresselhaus terms of the spin-orbit interaction (SOI) and of a magnetic field $B$, is solved exactly. The effective electric fields of these terms as well as $B$ have perpendicular and radial components. The interplay between them and $B$ and their influence on the spectrum is studied. The transmission through such a ring, with two leads connected to it, is evaluated as a function of the SOI strengths and of the orientations of these fields. The Rashba and Dresselhaus terms affect the transmission in different ways. The transmission through a series of rings with different radii and with SOI in both arms of the rings or only in one of them is also evaluated. For weak magnetic fields $B\ensuremath{\leqslant}1\phantom{\rule{0.3em}{0ex}}\mathrm{T}$ the influence of the Zeeman term on the transmission, assessed by perturbation theory, is negligible.
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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) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 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 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".