Thermal and field evolution of spin dynamics in the alternating Heisenberg <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>J</mml:mi> <mml:mi>eff</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:mrow> </mml:math> spin chain <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi mathvariant="normal">Sr</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:mi mathvariant="normal">Co</mml:mi> <mml:mo>(</mml:mo> <mml:mrow> <mml:msub> <mml:mi mathvariant="normal">SeO</mml:mi> <mml:mn>3</mml:mn> </mml:msub> <mml:msub> <mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:mn>3</mml:mn> </mml:msub> </mml:mrow> </mml:math>
Bibliographic record
Abstract
We present a comprehensive muon spin relaxation/rotation (\ensuremath{\mu}$\mathrm{SR}$) study of the ${\mathrm{Co}}^{2+}$-based alternating Heisenberg ${J}_{\text{eff}}=\frac{1}{2}$ spin chain system ${\mathrm{Sr}}_{2}\mathrm{Co}{({\mathrm{SeO}}_{3})}_{3}$. Low-temperature magnetic property measurements confirm a spin-singlet ground state and identify two critical fields, ${H}_{\text{C1}}$ and ${H}_{\text{C2}}$. At ${H}_{\text{C1}}$, the system evolves from the spin-singlet state to a canted antiferromagnetic phase, which persists up to ${H}_{\text{C2}}$, where the system enters a fully polarized state. This magnetically ordered phase exists between \ensuremath{\mu}${}_{0}{H}_{\text{C1}}^{\ensuremath{\perp}c}=2$ T and \ensuremath{\mu}${}_{0}{H}_{\text{C2}}^{\ensuremath{\perp}c}=3.05$ T for \ensuremath{\mu}${}_{0}H\ensuremath{\perp}c$ and between \ensuremath{\mu}${}_{0}{H}_{\text{C1}}^{///c}=2$ T and \ensuremath{\mu}${}_{0}{H}_{\text{C2}}^{///c}=3.6$ T for $H//c$, reflecting the presence of anisotropy. Additionally, \ensuremath{\mu}$\mathrm{SR}$ results provide insights into the thermal and field evolution of spin dynamics, revealing a thermal crossover in spin correlations, the reopening of a spin gap due to anisotropy above ${H}_{\text{C1}}$, and the emergence of a magnon gap above ${H}_{\text{C2}}$. These findings imply the suppressed criticality of the canted antiferromagnetic phase by anisotropy. Our study establishes ${\mathrm{Sr}}_{2}\mathrm{Co}{({\mathrm{SeO}}_{3})}_{3}$ as a model system for investigating field-driven quantum phase transitions in one-dimensional ${J}_{\text{eff}}=\frac{1}{2}$ quantum spin chains with anisotropy.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.003 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.011 | 0.001 |
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; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
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".