Short-range order in the quantum XXZ honeycomb lattice material <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>BaCo</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>PO</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>
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Bibliographic record
Abstract
We present observations of highly frustrated quasi-two-dimensional (2D) magnetic correlations in the honeycomb lattice layers of the ${S}_{\text{eff}} =1/2$ compound $\ensuremath{\gamma}\ensuremath{-}{\mathrm{BaCo}}_{2}{({\mathrm{PO}}_{4})}_{2}$ ($\ensuremath{\gamma}$-BCPO). Specific heat shows a broad peak comprised of two weak kink features at ${T}_{N1}\ensuremath{\sim}6$ K and ${T}_{N2}\ensuremath{\sim}3.5$ K, the relative weights of which can be modified by sample annealing. Neutron powder diffraction measurements reveal short range quasi-2D order that is established below ${T}_{N1}$ and ${T}_{N2}$, at which two separate, incompatible, short range magnetic orders onset: commensurate antiferromagnetic correlations with correlation length ${\ensuremath{\xi}}_{c}=60\ifmmode\pm\else\textpm\fi{}2$ \AA{} (${T}_{N1}$) and in quasi-2D helical domains with ${\ensuremath{\xi}}_{h}=350\ifmmode\pm\else\textpm\fi{}11$ \AA{} (${T}_{N2}$). The ac magnetic susceptibility response lacks frequency dependence, ruling out spin freezing. Inelastic neutron scattering data on $\ensuremath{\gamma}$-BCPO is compared with linear spin wave theory, and two separate parameter regions of the XXZ ${J}_{1}\ensuremath{-}{J}_{2}\ensuremath{-}{J}_{3}$ model with ferromagnetic nearest-neighbor exchange ${J}_{1}$ are favored, both near regions of high classical degeneracy. High energy coherent excitations ($\ensuremath{\sim}10$ meV) persist up to at least 40 K, suggesting strong in-plane correlations persist above ${T}_{N}$. These data show that $\ensuremath{\gamma}$-BCPO is a rare highly frustrated, quasi-2D ${S}_{\text{eff}} =1/2$ honeycomb lattice material which resists long range magnetic order and spin freezing.
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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 | 0.005 | 0.004 |
| Meta-epidemiology (narrow) | 0.003 | 0.006 |
| Meta-epidemiology (broad) | 0.002 | 0.007 |
| Bibliometrics | 0.001 | 0.005 |
| Science and technology studies | 0.004 | 0.006 |
| Scholarly communication | 0.004 | 0.005 |
| Open science | 0.008 | 0.006 |
| Research integrity | 0.004 | 0.006 |
| Insufficient payload (model declined to judge) | 0.479 | 0.013 |
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