REVIEW 2 major objections 2 minor 33 references
Electric fields penetrate three-dimensional superconductors while superconductivity persists.
Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →
T0 review · grok-4.3
2026-06-26 19:07 UTC pith:BSJHXDH4
load-bearing objection Claims a new electric-field-driven intermediate state in bulk 3D superconductors with simultaneous supercurrent and dissipation, but the data details will decide if it is artifact-free and truly novel. the 2 major comments →
The electric-field-driven intermediate state of three-dimensional superconductors
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
We demonstrate the emergence of an intermediate state in which electric fields penetrate the system while superconductivity still persists. Our measurements reveal a nonclassical regime characterized by the simultaneous presence of supercurrent and dissipative charge transport. This state, realized in a pristine unpatterned three-dimensional system, arises from electric-field-driven order parameter fluctuations. It provides a platform to explore dissipative states of charged quantum fluids far from equilibrium.
What carries the argument
Electric-field-driven order parameter fluctuations that permit simultaneous supercurrent and dissipative charge transport inside an unpatterned three-dimensional superconductor.
Load-bearing premise
The observed coexistence of supercurrent and dissipation is produced by electric-field-driven order parameter fluctuations in a clean three-dimensional sample and not by contact effects, inhomogeneity, or other artifacts.
What would settle it
If the simultaneous supercurrent and dissipation vanish when contacts are altered or when the sample is intentionally patterned, or if the transport curves match predictions from inhomogeneity models instead of fluctuation models.
If this is right
- Supercurrent and dissipative charge transport can coexist inside the same three-dimensional superconductor under an applied electric field.
- The intermediate state appears in unpatterned bulk samples and does not require artificial inhomogeneity.
- The state supplies a platform for exploring dissipative states of charged quantum fluids far from equilibrium.
- Electric-field-driven order parameter fluctuations are sufficient to produce the nonclassical regime.
Where Pith is reading between the lines
- Similar intermediate states might appear in other three-dimensional quantum fluids when driven by external fields.
- The finding suggests that electric fields could be used to tune dissipation in superconducting devices without destroying the supercurrent.
- Testing the regime in different three-dimensional materials would clarify how general the fluctuation mechanism is.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports the experimental realization of an electric-field-driven intermediate state in pristine, unpatterned three-dimensional superconductors. In this state, electric fields penetrate the sample while superconductivity persists, manifested as the simultaneous presence of supercurrent and dissipative charge transport arising from electric-field-driven order parameter fluctuations.
Significance. If the central experimental claim is substantiated by the data, the work identifies a nonclassical regime in charged quantum fluids far from equilibrium and supplies a platform for exploring dissipative superconducting states without patterning or artificial inhomogeneity.
major comments (2)
- [Abstract, §2] Abstract and §2 (experimental methods): the central claim rests on measurements demonstrating simultaneous supercurrent and dissipative transport, yet the text supplies no raw data, error bars, sample dimensions, contact geometry, or exclusion criteria for artifacts; without these the support for the nonclassical regime cannot be evaluated.
- [§3] §3 (results): the assertion that the observed regime originates specifically from electric-field-driven order parameter fluctuations rather than contact effects or sample inhomogeneity requires quantitative comparison (e.g., field-penetration length versus coherence length or critical-current scaling); the provided description does not include such analysis or controls.
minor comments (2)
- Notation for the intermediate state is introduced without a compact symbol or equation; a defining relation (e.g., relating E-field threshold to order-parameter variance) would improve clarity.
- Figure captions should explicitly state the temperature, current density, and electric-field range for each panel to allow direct comparison with the text.
Simulated Author's Rebuttal
We thank the referee for the detailed and constructive report. The comments highlight important gaps in experimental documentation and analysis that we will address in a revised manuscript. Below we respond point-by-point to the major comments.
read point-by-point responses
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Referee: [Abstract, §2] Abstract and §2 (experimental methods): the central claim rests on measurements demonstrating simultaneous supercurrent and dissipative transport, yet the text supplies no raw data, error bars, sample dimensions, contact geometry, or exclusion criteria for artifacts; without these the support for the nonclassical regime cannot be evaluated.
Authors: We agree that the present manuscript version does not provide sufficient raw experimental details. In the revision we will expand §2 with representative raw voltage-current traces (including error bars from multiple sweeps), explicit sample dimensions and thickness, a description of the contact geometry and probe configuration, and the specific criteria and checks used to exclude artifacts such as Joule heating, contact resistance, and electromagnetic pickup. These additions will allow direct evaluation of the data supporting the claimed regime. revision: yes
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Referee: [§3] §3 (results): the assertion that the observed regime originates specifically from electric-field-driven order parameter fluctuations rather than contact effects or sample inhomogeneity requires quantitative comparison (e.g., field-penetration length versus coherence length or critical-current scaling); the provided description does not include such analysis or controls.
Authors: We accept that the current text lacks the requested quantitative controls. The revised §3 will incorporate estimates of the electric-field penetration length (derived from applied bias and measured sample thickness) compared with the coherence length, together with scaling plots of critical current versus electric field. Additional control measurements on samples with varied contact placements will be added to address possible contact or inhomogeneity contributions. revision: yes
Circularity Check
No significant circularity
full rationale
The paper is an experimental report demonstrating an intermediate state via measurements of supercurrent and dissipative transport in a 3D superconductor. No derivation chain, predictions from first principles, fitted parameters renamed as predictions, or self-citation load-bearing steps are present. The central claim rests on observed data rather than any reduction to inputs by construction, making the analysis self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
read the original abstract
The coexistence of superconductivity and finite electric fields may enable access to intriguing forms of electronic states. We demonstrate the emergence of an intermediate state in which electric fields penetrate the system while superconductivity still persists. Our measurements reveal a nonclassical regime characterized by the simultaneous presence of supercurrent and dissipative charge transport. This state, realized in a pristine unpatterned three-dimensional system, arises from electric-field-driven order parameter fluctuations. It provides a platform to explore dissipative states of charged quantum fluids far from equilibrium.
Figures
Reference graph
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Devices in four-probe geometry were patterned by designing a mask on polymer resist using electron-beam lithography
Sample fabrication and characterization The samples were prepared using commercially available Si wafers with a 500 nm thick layer of insulating SiO 2 as the substrate. Devices in four-probe geometry were patterned by designing a mask on polymer resist using electron-beam lithography. Then, Nb was deposited by electron-beam-induced evaporation and the lif...
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1c of the main article was obtained by continuously varying the source voltageU 0 (in the circuit of Fig
Complete set of data for determining current-voltage characteristics The data for theI-Vplot in Fig. 1c of the main article was obtained by continuously varying the source voltageU 0 (in the circuit of Fig. 1a). We show in Fig. S2 the plots ofIandVas a function ofU 0. In Fig. S3, we show the variations ofVandIas a function ofU 0 corresponding to Fig. 2a o...
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1c of the main text, there is a fair degree of repeatability for the different sets ofI-V measurement using four different values ofR L
Measurements upon thermal cycling As was evident in Fig. 1c of the main text, there is a fair degree of repeatability for the different sets ofI-V measurement using four different values ofR L. These measurements were done at a fixed value of temperature of 8.30 K. Samples measured in experiments always have a finite disorder distribution which may provid...
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[32]
It is commonplace for superconductors to show a hysteresis in current-biased critical current measurements
The normal-to-superconductor transition In this work, we have focused on inducing the superconductor-to-normal transition by increasing the source voltage starting from zero. It is commonplace for superconductors to show a hysteresis in current-biased critical current measurements. We have observed hysteretic features too. The signatures of the intermedia...
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[33]
Derivation of the expression for voltage across a long superconducting channel We will treat the case of a long superconducting film of lengthLand uniform cross-sectional areaSby means of the Ginzburg-Landau theory. This problem concerns the impact of an electric field in inducing a nonequilibrium state in superconductors, which is different from the issu...
1966
discussion (0)
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