Revealing isotropic abundant low-energy excitations in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>UTe</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> through complex microwave surface impedance
Bibliographic record
Abstract
The complex surface impedance is a well-established tool to study the super- and normal-fluid responses of superconductors. Fundamental properties of the superconductor, such as the pairing mechanism, Fermi surface, and topological properties, also influence the surface impedance. We explore the microwave surface impedance of spin-triplet <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"> <a:msub> <a:mi>UTe</a:mi> <a:mn>2</a:mn> </a:msub> </a:math> single crystals as a function of temperature using resonant cavity perturbation measurements employing a multimodal analysis to gain insight into these properties. We determine a composite surface impedance of the crystal for each mode using resonance data combined with the independently measured normal state dc resistivity tensor. The normal state surface impedance reveals the weighting of current flow directions in the crystal of each resonant mode. For <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"> <b:msub> <b:mi>UTe</b:mi> <b:mn>2</b:mn> </b:msub> </b:math> , we find an isotropic <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"> <c:mrow> <c:mi mathvariant="normal">Δ</c:mi> <c:mi>λ</c:mi> <c:mrow> <c:mo>(</c:mo> <c:mi>T</c:mi> <c:mo>)</c:mo> </c:mrow> <c:mo>∼</c:mo> <c:msup> <c:mi>T</c:mi> <c:mi>α</c:mi> </c:msup> </c:mrow> </c:math> power-law temperature dependence for the magnetic penetration depth for <e:math xmlns:e="http://www.w3.org/1998/Math/MathML"> <e:mrow> <e:mi>T</e:mi> <e:mo>≤</e:mo> <e:msub> <e:mi>T</e:mi> <e:mi>c</e:mi> </e:msub> <e:mo>/</e:mo> <e:mn>3</e:mn> </e:mrow> </e:math> with <f:math xmlns:f="http://www.w3.org/1998/Math/MathML"> <f:mrow> <f:mi>α</f:mi> <f:mo><</f:mo> <f:mn>2</f:mn> </f:mrow> </f:math> , which is inconsistent with a single pair of point nodes on the Fermi surface under weak scattering. We also find a similar power-law temperature dependence for the low-temperature surface resistance <g:math xmlns:g="http://www.w3.org/1998/Math/MathML"> <g:mrow> <g:msub> <g:mi>R</g:mi> <g:mi>s</g:mi> </g:msub> <g:mrow> <g:mo>(</g:mo> <g:mi>T</g:mi> <g:mo>)</g:mo> </g:mrow> <g:mo>∼</g:mo> <g:msup> <g:mi>T</g:mi> <g:msub> <g:mi>α</g:mi> <g:mi>R</g:mi> </g:msub> </g:msup> </g:mrow> </g:math> with <h:math xmlns:h="http://www.w3.org/1998/Math/MathML"> <h:mrow> <h:msub> <h:mi>α</h:mi> <h:mi>R</h:mi> </h:msub> <h:mo><</h:mo> <h:mn>2</h:mn> </h:mrow> </h:math> . We observe a strong anisotropy of the residual microwave loss across these modes, with some modes showing loss below the universal line-nodal value, to those showing substantially more. We compare to predictions for topological Weyl superconductivity in the context of the observed isotropic power laws and anisotropy of the residual loss.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.002 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 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; 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".