Wiedemann-Franz law and nonvanishing temperature scale across the field-tuned quantum critical point of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mtext>YbRh</mml:mtext></mml:mrow><mml:mn>2</mml:mn></mml:msub></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mtext>Si</mml:mtext></mml:mrow><mml:mn>2</mml:mn></mml:msub></mml:math>
Bibliographic record
Abstract
The in-plane thermal conductivity $\ensuremath{\kappa}$ and electrical resistivity $\ensuremath{\rho}$ of the heavy-fermion metal ${\text{YbRh}}_{2}$${\text{Si}}_{2}$ were measured down to 50 mK for magnetic fields $H$ parallel and perpendicular to the tetragonal $c$ axis, through the field-tuned quantum critical point ${H}_{c}$, at which antiferromagnetic order ends. The thermal and electrical resistivities, $w\ensuremath{\equiv}{L}_{0}T/\ensuremath{\kappa}$ and $\ensuremath{\rho}$, show a linear temperature dependence below 1 K, typical of the non-Fermi-liquid behavior found near antiferromagnetic quantum critical points, but this dependence does not persist down to $T=0$. Below a characteristic temperature ${T}^{\ensuremath{\star}}\ensuremath{\simeq}0.35$ K, which depends weakly on $H$, $w(T)$ and $\ensuremath{\rho}(T)$ both deviate downward and converge as $T\ensuremath{\rightarrow}0$. We propose that ${T}^{\ensuremath{\star}}$ marks the onset of short-range magnetic correlations, persisting beyond ${H}_{c}$. By comparing samples of different purity, we conclude that the Wiedemann-Franz law holds in ${\text{YbRh}}_{2}$${\text{Si}}_{2}$, even at ${H}_{c}$, implying that no fundamental breakdown of quasiparticle behavior occurs in this material. The overall phenomenology of heat and charge transport in ${\text{YbRh}}_{2}$${\text{Si}}_{2}$ is similar to that observed in the heavy-fermion metal ${\text{CeCoIn}}_{5}$, near its own field-tuned quantum critical point.
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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 | 0.005 | 0.004 |
| Meta-epidemiology (narrow) | 0.003 | 0.004 |
| Meta-epidemiology (broad) | 0.002 | 0.005 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.004 | 0.004 |
| Scholarly communication | 0.004 | 0.004 |
| Open science | 0.005 | 0.004 |
| Research integrity | 0.004 | 0.005 |
| Insufficient payload (model declined to judge) | 0.123 | 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".