Random singlet-like state in the dimer-based triangular antiferromagnet <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Ba</mml:mi><mml:mn>6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Y</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Rh</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Ti</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn>17</mml:mn><mml:mo>−</mml:mo><mml:mi>δ</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>
Bibliographic record
Abstract
We present the magnetic, thermodynamic, and muon spin relaxation (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mrow><a:mi>μ</a:mi><a:mi>SR</a:mi></a:mrow></a:math>) results of the dimer-based triangular antiferromagnet <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:mrow><b:msub><b:mi>Ba</b:mi><b:mn>6</b:mn></b:msub><b:msub><b:mi mathvariant="normal">Y</b:mi><b:mn>2</b:mn></b:msub><b:msub><b:mi>Rh</b:mi><b:mn>2</b:mn></b:msub><b:msub><b:mi>Ti</b:mi><b:mn>2</b:mn></b:msub><b:msub><b:mi mathvariant="normal">O</b:mi><b:mrow><b:mn>17</b:mn><b:mo>−</b:mo><b:mi>δ</b:mi></b:mrow></b:msub></b:mrow></b:math>. The magnetic susceptibility data show the sub-Curie-Weiss behavior <e:math xmlns:e="http://www.w3.org/1998/Math/MathML"><e:mrow><e:mi>χ</e:mi><e:mrow><e:mo>(</e:mo><e:mi>T</e:mi><e:mo>)</e:mo></e:mrow><e:mo>∝</e:mo><e:msup><e:mi>T</e:mi><e:mrow><e:mo>−</e:mo><e:msub><e:mi>α</e:mi><e:mi>χ</e:mi></e:msub></e:mrow></e:msup></e:mrow></e:math> below 100 K, suggesting random magnetism. The isothermal magnetization results reveal the presence of weakly interacting structural orphan spins about <f:math xmlns:f="http://www.w3.org/1998/Math/MathML"><f:mrow><f:mn>6.1</f:mn><f:mo>%</f:mo></f:mrow></f:math> at 2 K, arising from the oxygen deficiency. The comprehensive <g:math xmlns:g="http://www.w3.org/1998/Math/MathML"><g:mrow><g:mi>μ</g:mi><g:mi>SR</g:mi></g:mrow></g:math> experiments exhibit the coexisting relaxing and nonrelaxing components along with the thermally activated behavior in the muon spin relaxation rate, reflecting the fluctuating orphan spins in the dimer singlet background. In addition, we observe the scaling behavior of <h:math xmlns:h="http://www.w3.org/1998/Math/MathML"><h:mrow><h:mi>M</h:mi><h:mo>(</h:mo><h:mi>H</h:mi><h:mo>,</h:mo><h:mi>T</h:mi><h:mo>)</h:mo></h:mrow></h:math> in <i:math xmlns:i="http://www.w3.org/1998/Math/MathML"><i:mrow><i:mi>H</i:mi><i:mo>/</i:mo><i:mi>T</i:mi></i:mrow></i:math> and <j:math xmlns:j="http://www.w3.org/1998/Math/MathML"><j:mrow><j:msub><j:mi>P</j:mi><j:mi>z</j:mi></j:msub><j:mrow><j:mo>(</j:mo><j:mi>t</j:mi><j:mo>)</j:mo></j:mrow></j:mrow></j:math> in <k:math xmlns:k="http://www.w3.org/1998/Math/MathML"><k:mrow><k:mi>t</k:mi><k:mo>/</k:mo><k:msub><k:mi>H</k:mi><k:mtext>LF</k:mtext></k:msub></k:mrow></k:math> with the scaling exponents <l:math xmlns:l="http://www.w3.org/1998/Math/MathML"><l:mrow><l:msub><l:mi>α</l:mi><l:mi>χ</l:mi></l:msub><l:mo>=</l:mo><l:msub><l:mi>α</l:mi><l:mtext>M</l:mtext></l:msub><l:mo>=</l:mo><l:mn>0.75</l:mn></l:mrow></l:math> and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:msub><m:mi>α</m:mi><m:mi>μ</m:mi></m:msub><m:mo>=</m:mo><m:mn>0.72</m:mn></m:mrow></m:math>, respectively, but not for the magnetic specific heat data. The failure of the scaling relation in <n:math xmlns:n="http://www.w3.org/1998/Math/MathML"><n:mrow><n:msub><n:mi>C</n:mi><n:mtext>m</n:mtext></n:msub><n:mrow><n:mo>(</n:mo><n:mi>H</n:mi><n:mo>,</n:mo><n:mi>T</n:mi><n:mo>)</n:mo></n:mrow><n:mo>/</n:mo><n:mi>T</n:mi></n:mrow></n:math> implies low-energy excitations dressed by the conventional orphan spins. Based on these observations, we find that the magnetic ground state resembles random singlets and discuss the possible configurations of the spin dimer unit <o:math xmlns:o="http://www.w3.org/1998/Math/MathML"><o:mrow><o:msub><o:mi>Rh</o:mi><o:mn>2</o:mn></o:msub><o:msub><o:mi mathvariant="normal">O</o:mi><o:mn>9</o:mn></o:msub></o:mrow></o:math>. Our results shed light on the role of quenched disorder in the dimer-based frustrated magnets. Published by the American Physical Society 2024
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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 | 0.013 | 0.007 |
| Meta-epidemiology (narrow) | 0.005 | 0.011 |
| Meta-epidemiology (broad) | 0.002 | 0.011 |
| Bibliometrics | 0.004 | 0.010 |
| Science and technology studies | 0.009 | 0.010 |
| Scholarly communication | 0.010 | 0.008 |
| Open science | 0.014 | 0.011 |
| Research integrity | 0.009 | 0.012 |
| Insufficient payload (model declined to judge) | 0.862 | 0.014 |
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".