Nonlinear Hall resistivity in the overdoped Pr <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mrow/> <mml:mrow> <mml:mn>1.82</mml:mn> </mml:mrow> </mml:msub> <mml:msub> <mml:mi>Ce</mml:mi> <mml:mrow> <mml:mn>0.18</mml:mn> </mml:mrow> </mml:msub> <mml:msub> <mml:mi>CuO</mml:mi> <mml:mrow> <mml:mn>4</mml:mn> <mml:mo>+</mml:mo> <mml:mi>δ</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> electron-doped cuprate
Bibliographic record
Abstract
The Hall coefficient ${R}_{\mathrm{H}}$ as a function of temperature for ${\mathrm{Pr}}_{2\ensuremath{-}x}{\mathrm{Ce}}_{x}{\mathrm{CuO}}_{4}$ (PCCO) at $x=0.17$ shows two sign changes between 0 and $300\phantom{\rule{0.16em}{0ex}}\mathrm{K}$ that can be explained qualitatively using the two-carrier model. Using this two-carrier model, one predicts the presence of a nonlinear ${B}^{3}$ contribution to the Hall resistivity ${\ensuremath{\rho}}_{yx}$ that should be easily observed when the linear coefficient ${R}_{\mathrm{H}}$ is approaching zero. We present the measurement of this nonlinear Hall resistivity for overdoped PCCO thin films at $x=0.18$. We show that this weak nonlinear term persists at all temperatures despite being dominated by the linear term (${R}_{\mathrm{H}}B$). It is strongly temperature dependent and, analyzing it with the two-carrier model, we conclude that the density of electron carriers is larger than the hole density, but that the hole mobility is larger than that of the electrons. This nonlinear Hall resistivity should be observable for similar materials for which ${R}_{\mathrm{H}}(T)$ goes through sign reversals as does overdoped PCCO.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.003 | 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".