Quantum Order by Disorder in Frustrated Diamond Lattice Antiferromagnets
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Bibliographic record
Abstract
We present a quantum theory of frustrated diamond lattice antiferromagnets. Considering quantum fluctuations as the predominant mechanism relieving spin frustration, we find a rich phase diagram comprising of six phases with coplanar spiral ordering in addition to the N\'eel phase. By computing the specific heat of these ordered phases, we obtain a remarkable agreement between ($k$, $k$, 0) spiral ordering and the experimental specific heat data for the diamond lattice spinel compounds ${\mathrm{MnSc}}_{2}{\mathrm{S}}_{4}$, ${\mathrm{Co}}_{3}{\mathrm{O}}_{4}$, and ${\mathrm{CoRh}}_{2}{\mathrm{O}}_{4}$, i.e., specific heat data is a strong evidence for ($k$, $k$, 0) spiral ordering in all of these materials. This prediction can be tested in future neutron scattering experiments on ${\mathrm{Co}}_{3}{\mathrm{O}}_{4}$ and ${\mathrm{CoRh}}_{2}{\mathrm{O}}_{4}$, and is consistent with existing neutron scattering data on ${\mathrm{MnSc}}_{2}{\mathrm{S}}_{4}$. Based on this agreement, we infer a monotonically increasing relationship between frustration and the strength of quantum fluctuations.
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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 | 0.001 |
| 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 it