Microscopic dipole-exchange theory for magnonic crystal arrays of interacting ferromagnetic nanorings
Bibliographic record
Abstract
A microscopic theory is employed to study magnonic crystals represented by one-dimensional arrays of ferromagnetic nanorings. The Hamiltonian-based formalism includes the exchange and dipole-dipole coupling within each ring, as well as the long-range dipolar coupling between rings and an external applied magnetic field. Depending on the applied field, the size of the rings, and the inter-ring spacing, the array elements may be in a vortex (flux closure), onion (bidomain), or other inhomogeneous magnetization state. Numerical results are reported for the magnonic bands and gaps in Permalloy nanorings with outer diameter typically of order 100 nm. In a strong-coupling regime it is found typically that the bands are wide and the gaps small in the vortex state, and vice-versa in the onion state.
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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 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 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".