Microscopic dipole–exchange theory for planar nanostriped magnonic crystals
Bibliographic record
Abstract
Microscopic (or Hamiltonian-based) calculations are reported for the collective spin-wave bands and gaps in one-dimensional magnonic crystals consisting of a periodic array of ferromagnetic stripes separated by nonmagnetic spacers. This is achieved by generalizing a previous approach for the dipole–exchange spin waves in individual (or non-interacting) stripes and small finite arrays of nanoelements to cases where there is an effectively infinite periodic array of striped elements. This involves introducing a Bloch wavenumber associated with the periodicity property and reformulating the microscopic dipole–dipole and exchange sums for a periodic structure to include the inter-stripe and intra-stripe contributions. The theory gives good agreement when compared with Brillouin light scattering data for Permalloy magnonic structures. Applications of the microscopic theory are also made to cases where the applied magnetic field has a component transverse to the easy axis of the stripes, favouring the formation of edge modes.
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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) | 0.001 | 0.000 |
| 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".