Interdimensional effects in a three-dimensional electron gas with a Rashba spin-orbit coupling interface
Bibliographic record
Abstract
We examine the bound-state and free-state contributions to the density of states in a three-dimensional electron gas with a two-dimensional interface or quantum well with Rashba spin-orbit coupling. The motivation for our research comes from the interest in materials that exhibit Rashba spin splitting of energy bands and the Edelstein and inverse Edelstein effects in quantum wells or interfaces. By modifying the Hamiltonian of three-dimensional electron gas models to include a two-dimensional component with Rashba spin-orbit coupling, we are able to calculate the bound-state and free-state wave functions and corresponding densities of states analytically. In the case of weak asymmetry across the interface, we find that one of the spin-split energy bands has an upper bound where it merges into a three-dimensional energy band. On the other hand, with strong asymmetry across the interface, only one spin-momentum-locked band exists as an interface energy band, which emerges from a three-dimensional energy band.
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.002 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.001 |
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".