Microscopic theory of dipole-exchange spin-wave excitations in ferromagnetic nanowires
Bibliographic record
Abstract
A microscopic theory is developed for the spin-wave excitations in ferromagnetic nanowires. Both the long-range magnetic dipole-dipole interactions and the Heisenberg-exchange interactions between nearest neighbors are included in the Hamiltonian, as well as effects of an applied magnetic field, which may be directed parallel or perpendicular to the wire axis. Our formalism can be applied to ferromagnetic nanowires of arbitrary cross section to deduce both the energy spectrum of the discrete dipole-exchange spin-wave modes and the relative intensities as a function of position. The long-range dipole sums in the wire geometry are evaluated numerically and spin-wave calculations are presented for nanowires with approximately circular cross section. When the applied field is perpendicular to the wire axis, there is a canting of the net spin orientation away from the axis, and the magnetization is spatially nonuniform due to the dipolar interactions. We find that typically there are two phases and two distinct regimes of spin-wave behavior, corresponding to the applied field being less than or greater than a critical value.
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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) | 0.002 | 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".