The spikiness of the density of states in quasicrystals
Why this work is in the frame
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Bibliographic record
Abstract
The spikiness of the density of states in quasicrystals The spikiness of the electronic density of states in quasicrystals is believed to be inherent to QCs and so-called approximants (APs) to QCs. Solids have been traditionally divided into two categories: crystalline and amorphous. The dramatic discovery of an icosahedral Al-Mn alloy by Shechtman et al. (1) in 1984 (Shechtman was awarded the 2011 Nobel Prize in Chemistry) extended this dichotomous division by introducing the notion of quasicrystals (QCs). These compounds possess a new type of long-range translational order, quasiperiodicity, and a non-crystallographic orientational order associated with the classically forbidden fivefold, eightfold, tenfold, and twelvefold symmetry axes (2). Whereas there are more than 20 million/tens of thousands known crystalline/amorphous compounds, QCs have hitherto been found in more than a hundred binary and ternary intermetallic systems (3). One of the central problems in condensed matter physics is determining whether quasiperiodicity leads to physical properties that are significantly different from those of crystalline and amorphous materials.
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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 | 0.002 | 0.002 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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