Dipolar Spin Ice Regime Proximate to an All-In-All-Out Néel Ground State in the Dipolar-Octupolar Pyrochlore <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>Ce</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>Sn</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>
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Bibliographic record
Abstract
The dipolar-octupolar (DO) pyrochlores, <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>R</a:mi><a:mn>2</a:mn></a:msub><a:msub><a:mi>M</a:mi><a:mn>2</a:mn></a:msub><a:msub><a:mi mathvariant="normal">O</a:mi><a:mn>7</a:mn></a:msub></a:math> (<d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:mrow><d:mi>R</d:mi><d:mo>=</d:mo><d:mi>Ce</d:mi><d:mo>,</d:mo><d:mi>Sm</d:mi><d:mo>,</d:mo><d:mi>Nd</d:mi></d:mrow></d:math>), are key players in the search for realizable novel quantum spin liquid (QSL) states as a large parameter space within the DO pyrochlore phase diagram is theorized to host QSL states of both dipolar and octupolar nature. New single crystals and powders of <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mrow><f:msub><f:mrow><f:mi>Ce</f:mi></f:mrow><f:mrow><f:mn>2</f:mn></f:mrow></f:msub><f:msub><f:mrow><f:mi>Sn</f:mi></f:mrow><f:mrow><f:mn>2</f:mn></f:mrow></f:msub><f:msub><f:mrow><f:mi mathvariant="normal">O</f:mi></f:mrow><f:mrow><f:mn>7</f:mn></f:mrow></f:msub></f:mrow></f:math>, synthesized by hydrothermal techniques, present an opportunity for a new characterization of the exchange parameters in <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mrow><i:msub><i:mrow><i:mi>Ce</i:mi></i:mrow><i:mrow><i:mn>2</i:mn></i:mrow></i:msub><i:msub><i:mrow><i:mi>Sn</i:mi></i:mrow><i:mrow><i:mn>2</i:mn></i:mrow></i:msub><i:msub><i:mrow><i:mi mathvariant="normal">O</i:mi></i:mrow><i:mrow><i:mn>7</i:mn></i:mrow></i:msub></i:mrow></i:math> using the near-neighbor <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"><l:mi>X</l:mi><l:mi>Y</l:mi><l:mi>Z</l:mi></l:math> model Hamiltonian associated with DO pyrochlores. Utilizing quantum numerical linked cluster expansion fits to heat capacity and magnetic susceptibility measurements, and classical Monte Carlo calculations to the diffuse neutron diffraction of the new hydrothermally grown <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:mrow><n:msub><n:mrow><n:mi>Ce</n:mi></n:mrow><n:mrow><n:mn>2</n:mn></n:mrow></n:msub><n:msub><n:mrow><n:mi>Sn</n:mi></n:mrow><n:mrow><n:mn>2</n:mn></n:mrow></n:msub><n:msub><n:mrow><n:mi mathvariant="normal">O</n:mi></n:mrow><n:mrow><n:mn>7</n:mn></n:mrow></n:msub></n:mrow></n:math> samples, we place <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:mrow><q:msub><q:mrow><q:mi>Ce</q:mi></q:mrow><q:mrow><q:mn>2</q:mn></q:mrow></q:msub><q:msub><q:mrow><q:mi>Sn</q:mi></q:mrow><q:mrow><q:mn>2</q:mn></q:mrow></q:msub><q:msub><q:mrow><q:mi mathvariant="normal">O</q:mi></q:mrow><q:mrow><q:mn>7</q:mn></q:mrow></q:msub></q:mrow></q:math>’s ground state within the ordered dipolar all-in-all-out (AIAO) Néel phase, with quantum Monte Carlo calculations showing a transition to long-range order at temperatures below those accessed experimentally. Indeed, our new neutron diffraction measurements on the hydrothermally grown <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:mrow><t:msub><t:mrow><t:mi>Ce</t:mi></t:mrow><t:mrow><t:mn>2</t:mn></t:mrow></t:msub><t:msub><t:mrow><t:mi>Sn</t:mi></t:mrow><t:mrow><t:mn>2</t:mn></t:mrow></t:msub><t:msub><t:mrow><t:mi mathvariant="normal">O</t:mi></t:mrow><t:mrow><t:mn>7</t:mn></t:mrow></t:msub></t:mrow></t:math> powders show a broad signal at low scattering wave vectors, reminiscent of a spin ice, in striking contrast from previous powder neutron diffraction on samples grown from solid-state synthesis, which found diffuse scattering at high scattering wave vectors associated with magnetic and suggested an octupolar quantum spin ice state. We conclude that new hydrothermally grown <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:mrow><w:msub><w:mrow><w:mi>Ce</w:mi></w:mrow><w:mrow><w:mn>2</w:mn></w:mrow></w:msub><w:msub><w:mrow><w:mi>Sn</w:mi></w:mrow><w:mrow><w:mn>2</w:mn></w:mrow></w:msub><w:msub><w:mrow><w:mi mathvariant="normal">O</w:mi></w:mrow><w:mrow><w:mn>7</w:mn></w:mrow></w:msub></w:mrow></w:math> samples host a finite-temperature proximate dipolar spin ice phase, above the expected transition to AIAO Néel order. Published by the American Physical Society 2024
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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 | 0.007 | 0.005 |
| Meta-epidemiology (narrow) | 0.004 | 0.008 |
| Meta-epidemiology (broad) | 0.001 | 0.008 |
| Bibliometrics | 0.002 | 0.006 |
| Science and technology studies | 0.005 | 0.006 |
| Scholarly communication | 0.007 | 0.008 |
| Open science | 0.010 | 0.009 |
| Research integrity | 0.006 | 0.008 |
| Insufficient payload (model declined to judge) | 0.944 | 0.010 |
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