Tricritical behavior in a stacked triangular lattice Ising antiferromagnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CsCoBr</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>
Bibliographic record
Abstract
${\mathrm{CsCoBr}}_{3}$ is well described as a spin-1/2 Ising-like antiferromagnet (AF) on a stacked triangular lattice (STL). The combination of AF interactions and triangular coordination leads to geometrical frustration, which manifests itself in an unusual partially paramagnetic, long-range ordered state at low temperatures. We have studied both the order parameter as well as the fluctuations in the order parameter (the critical fluctuations), associated with this unusual magnetic phase transition at ${T}_{N}=(28.23\ifmmode\pm\else\textpm\fi{}0.04)\mathrm{K},$ in a high quality single crystal sample of ${\mathrm{CsCoBr}}_{3}$ using neutron scattering techniques. Critical scattering measurements were performed through two equivalent ordering wave vectors $(\ensuremath{-}\frac{1}{3},\ensuremath{-}\frac{1}{3},1)$ and $(\ensuremath{-}\frac{2}{3},\ensuremath{-}\frac{2}{3},1).$ These measurements are well described by a single, anisotropic Lorentzian line shape over a wide range of about two decades in reduced temperature. The magnetic phase transition is characterized by a set of three critical exponents $\ensuremath{\nu}=(0.54\ifmmode\pm\else\textpm\fi{}0.05),$ $\ensuremath{\gamma}=(1.05\ifmmode\pm\else\textpm\fi{}0.08),$ and $\ensuremath{\beta}=(0.28\ifmmode\pm\else\textpm\fi{}0.02),$ which are consistent with the scaling laws. These results are very close to expectations of tricritical behavior. They are inconsistent with expectations from both analytical theory and Monte Carlo simulation results relevant to the classical Ising model on a hexagonal lattice with isotropic AF interactions, which predict that this phase transition belongs to the 3D $\mathrm{XY}$ universality class. In light of experimental results, we have reexamined heat capacity measurements on the same sample and show that these results are also consistent with tricritical behavior.
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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 | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.002 |
| Meta-epidemiology (broad) | 0.001 | 0.003 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.002 | 0.002 |
| Research integrity | 0.001 | 0.003 |
| Insufficient payload (model declined to judge) | 0.642 | 0.008 |
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; both teacher heads agree on what is shown here.
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".