Theory of Josephson Interference due to Orbital States in a Nanowire Proximity Effect Junction
Bibliographic record
Abstract
Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada(Dated: November 17, 2014)A nanoscale, cylindrical, semiconductor based superconductor-normal-superconductor (SNS)junction is considered theoretically by use of an idealized model. A magnetic eld is applied alongthe axis of the cylinder. The Bogoliubov-de Gennes equations for Andreev bound states are solvedwhile considering the transverse subbands in the N-section. It is seen that the energy-versus-phasecurves of the Andreev bound states are shifted in phase, as the N-section Andreev quasiparticlesoccupying subbands of non-zero orbital angular momentum couple to the axial magnetic ux. Asimilar phase shift is observed in the continuum current of the junction. An intuitive, semi-classicalpicture of the phase shift is presented to complement the quantum mechanical calculation. Thecritical current of the junction is studied when multiple subbands carrying non-zero orbital angularmomentum are occupied. Oscillations of the critical current versus the axial magnetic ux are iden-ti ed as a novel form of Josephson interference. Regimes in which this e ect is prominently visibleare identi ed.
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| 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) | 0.005 | 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".