Magnetotransport in a two-dimensional electron gas in the presence of spin-orbit interaction
Bibliographic record
Abstract
We evaluate the transport coefficients of a two-dimensional electron gas in the presence of a perpendicular magnetic field and of the spin-orbit interaction (SOI) described only by the Rashba term of strength \ensuremath{\alpha}. The SOI mixes the spin-up and spin-down states of neighboring Landau levels into two new, unequally spaced energy branches. The broadened density of states, as a function of the energy, and the longitudinal resistivity, as a function of the magnetic field, show beating patterns in agreement with observations. The positions of any two successive nodes in the beating pattern approximately determine the strength of the Rashba term. A strong SOI results in a splitting of the magnetoresistance peaks and a doubling of the number of the Hall plateaus. Each peak in the derivative of the Hall resistivity with respect to the magnetic field for \ensuremath{\alpha}=0 splits, for \ensuremath{\alpha}\ensuremath{\ne}0, into two peaks, whose separation \ensuremath{\Delta}B increases initially with \ensuremath{\alpha} and saturates for large \ensuremath{\alpha}.
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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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 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".