Microscopic model for spiral ordering along (110) on the MnSi lattice
Bibliographic record
Abstract
We study an extended Heisenberg model on the MnSi lattice. In the cubic B20 crystal structure of MnSi, Mn atoms form lattices of corner-shared equilateral triangles. We find an ubiquitous spiral ordering along (110) for ${J}_{1}<0$, ${J}_{2}>0$, and ${J}_{3}>0$, where ${J}_{1}$, ${J}_{2}$, and ${J}_{3}$ are the first, second, and third nearest-neighbor Heisenberg interactions, respectively. While the spiral order along (110) is reasonably robust to the introduction of Dzyaloshinskii-Moriya (DM) and anisotropic magnetic (AM) interactions, the ferromagnetic state for small ${J}_{2}$ and ${J}_{3}$ is replaced by spiral order along either (100) or (111) depending on the strength of DM and AM interactions. We discuss the possible relevance of these results to the partially ordered state recently reported in MnSi.
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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 | 0.000 |
| 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) | 0.000 | 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 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".