Scaling the anomalous Hall effect: A connection between transport and magnetism
Bibliographic record
Abstract
An unconventional form of scaling---one based on the anomalous Hall effect---in ${\text{Fe}}_{0.8}{\text{Co}}_{0.2}\text{Si}$ demonstrates the close correlation between its magnetic and transport properties. In particular, this approach enables the universality class of its magnetic phase transition---in fields above 1 kOe---to be reliably established from the anomalous Hall conductivity, yielding ${T}_{C}=36.0\ifmmode\pm\else\textpm\fi{}0.5\text{ }\text{K}$, $\ensuremath{\delta}=4.78\ifmmode\pm\else\textpm\fi{}0.01$, $\ensuremath{\beta}=0.37\ifmmode\pm\else\textpm\fi{}0.01$, and $\ensuremath{\gamma}=1.38\ifmmode\pm\else\textpm\fi{}0.02$. These latter estimates are in excellent agreement with those deduced from conventional magnetic measurements over a comparable field range and lead to the inference that in modest fields the dominant interaction in the critical regime becomes near-neighbor isotropic exchange.
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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".