Quantum critical behavior of the hyperkagome magnet <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi mathvariant="normal">Mn</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>CoSi</mml:mi></mml:math>
Bibliographic record
Abstract
<a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mi>β</a:mi></a:math>-Mn-type family alloys <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:mrow><b:msub><b:mi>Mn</b:mi><b:mn>3</b:mn></b:msub><b:mrow><b:mi>T</b:mi><b:mi>X</b:mi></b:mrow></b:mrow></b:math> (<c:math xmlns:c="http://www.w3.org/1998/Math/MathML"><c:mrow><c:mi>T</c:mi><c:mo>=</c:mo><c:mtext>Co</c:mtext></c:mrow></c:math>, Rh, and Ir; <d:math xmlns:d="http://www.w3.org/1998/Math/MathML"><d:mrow><d:mi>X</d:mi><d:mo>=</d:mo><d:mtext>Si</d:mtext></d:mrow></d:math> and Ge) have a three-dimensional antiferromagnetic (AF) corner-shared triangular network, i.e., the hyperkagome lattice. The antiferromagnet <e:math xmlns:e="http://www.w3.org/1998/Math/MathML"><e:mrow><e:msub><e:mi>Mn</e:mi><e:mn>3</e:mn></e:msub><e:mi>RhSi</e:mi></e:mrow></e:math> shows magnetic short-range order over a wide temperature range of approximately 500 K above the Néel temperature <f:math xmlns:f="http://www.w3.org/1998/Math/MathML"><f:msub><f:mi>T</f:mi><f:mi mathvariant="normal">N</f:mi></f:msub></f:math> of 190 K. In this family of compounds, as the lattice parameter decreases, the long-range magnetic ordering temperature decreases. <h:math xmlns:h="http://www.w3.org/1998/Math/MathML"><h:mrow><h:msub><h:mi>Mn</h:mi><h:mn>3</h:mn></h:msub><h:mi>CoSi</h:mi></h:mrow></h:math> has the smallest lattice parameter and the lowest <i:math xmlns:i="http://www.w3.org/1998/Math/MathML"><i:msub><i:mi>T</i:mi><i:mi mathvariant="normal">N</i:mi></i:msub></i:math> in the family. The quantum critical point (QCP) from AF to the quantum paramagnetic state is expected near a cubic lattice parameter of 6.15 <k:math xmlns:k="http://www.w3.org/1998/Math/MathML"><k:mi>Å</k:mi></k:math>. Although the Néel temperature of <l:math xmlns:l="http://www.w3.org/1998/Math/MathML"><l:mrow><l:msub><l:mi>Mn</l:mi><l:mn>3</l:mn></l:msub><l:mi>CoSi</l:mi></l:mrow></l:math> is only 140 K, the emergence of the quantum critical behavior in <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:msub><m:mi>Mn</m:mi><m:mn>3</m:mn></m:msub><m:mi>CoSi</m:mi></m:mrow></m:math> is discussed. We study how the magnetic short-range order appears in <n:math xmlns:n="http://www.w3.org/1998/Math/MathML"><n:mrow><n:msub><n:mi>Mn</n:mi><n:mn>3</n:mn></n:msub><n:mi>CoSi</n:mi></n:mrow></n:math> by using neutron scattering, <o:math xmlns:o="http://www.w3.org/1998/Math/MathML"><o:mrow><o:mi>μ</o:mi><o:mi>SR</o:mi></o:mrow></o:math>, and bulk characterization such as specific heat capacity. According to the results, the neutron scattering intensity of the magnetic short-range order in <p:math xmlns:p="http://www.w3.org/1998/Math/MathML"><p:mrow><p:msub><p:mi>Mn</p:mi><p:mn>3</p:mn></p:msub><p:mi>CoSi</p:mi></p:mrow></p:math> does not change much at low temperatures from that of <q:math xmlns:q="http://www.w3.org/1998/Math/MathML"><q:mrow><q:msub><q:mi>Mn</q:mi><q:mn>3</q:mn></q:msub><q:mi>RhSi</q:mi></q:mrow></q:math>, although the <r:math xmlns:r="http://www.w3.org/1998/Math/MathML"><r:mrow><r:mi>μ</r:mi><r:mi>SR</r:mi></r:mrow></r:math> short-range order temperature of <s:math xmlns:s="http://www.w3.org/1998/Math/MathML"><s:mrow><s:msub><s:mi>Mn</s:mi><s:mn>3</s:mn></s:msub><s:mi>CoSi</s:mi></s:mrow></s:math> is largely suppressed to 240 K from that of <t:math xmlns:t="http://www.w3.org/1998/Math/MathML"><t:mrow><t:msub><t:mi>Mn</t:mi><t:mn>3</t:mn></t:msub><t:mi>RhSi</t:mi></t:mrow></t:math>. Correspondingly, the volume fraction of the magnetic short-range order regions, as shown by the initial asymmetry drop ratio of <u:math xmlns:u="http://www.w3.org/1998/Math/MathML"><u:mrow><u:mi>μ</u:mi><u:mi>SR</u:mi></u:mrow></u:math> above <v:math xmlns:v="http://www.w3.org/1998/Math/MathML"><v:msub><v:mi>T</v:mi><v:mi mathvariant="normal">N</v:mi></v:msub></v:math>, also becomes small. Instead, the electronic-specific heat coefficient <x:math xmlns:x="http://www.w3.org/1998/Math/MathML"><x:mi>γ</x:mi></x:math> of <y:math xmlns:y="http://www.w3.org/1998/Math/MathML"><y:mrow><y:msub><y:mi>Mn</y:mi><y:mn>3</y:mn></y:msub><y:mi>CoSi</y:mi></y:mrow></y:math> is the largest in this <z:math xmlns:z="http://www.w3.org/1998/Math/MathML"><z:mrow><z:msub><z:mi>Mn</z:mi><z:mn>3</z:mn></z:msub><z:mi>T</z:mi><z:mi>Si</z:mi></z:mrow></z:math> system, possibly due to the low-energy spin fluctuation near the quantum critical point. 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 | 0.004 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.003 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.002 | 0.002 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.134 | 0.006 |
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".