Self-consistent Study of Non-Abelian Topological Superconductivity in Quasicrystals
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Bibliographic record
Abstract
Quasicrystals are emerging topological materials which defy all the laws of crystallography, with aperiodic long-range order and higher-dimensional symmetry.We study topological superconductivity (TSC) with broken time-reversal symmetry in prototypal two-dimensional quasicrystals, Penrose and Ammann-Beenker quasicrystals.By solving the Bogoliubov-de Gennes equations self-consistently for the mean fields, we show the stable occurrence of TSC in both Penrose and Ammann-Beenker quasicrystals.The topological nature of TSC in a quasicrystal is signified by the Bott index.We confirm the appearance of zero-energy Majorana fermions at surface boundaries when the Bott index is unity, in accordance with the bulk-boundary correspondence and the non-Abelian character of the system.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| 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 it