Long-range Coulomb interaction and Majorana fermions
Bibliographic record
Abstract
We report on our exact diagonalization studies of the effects of screened and unscreened long-range Coulomb interaction on the topological superconductivity (TS) phase in a quasi-one-dimensional semiconductor wire, proximity-coupled to an $s$-wave superconductor. We found that inclusion of the Coulomb interaction results in an enlargement of the region of parameter values where TS can be observed. This enlargement is proportional to the screening length of the Coulomb interaction. We also found that the interaction decreases the superconducting bulk gap. Some screening of the Coulomb interaction was found to be essential for observing TS in a quasi-one-dimensional semiconductor wire proximity-coupled to an $s$-wave superconductor. The theoretical framework employed here is quite general and can be used to address the issue of orbital effects and multichannel two-dimensional quantum wire for observation of TS in the presence of the Coulomb interaction between electrons.
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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) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.000 | 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".