Observation of two-level critical state in the superconducting FeTe thin films
Pith reviewed 2026-05-25 18:09 UTC · model grok-4.3
The pith
Magnetic hysteresis in oxygen-annealed FeTe thin films is explained by a two-level critical state model highlighting the role of granularity in their superconductivity.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The films with the highest Tc showed non-saturating superfluid density and a strong magnetic hysteresis distinct from that in a homogeneous superconductor. Such hysteresis can be well explained by a two-level critical state model and suggested the importance of granularity to superconductivity in this compound.
What carries the argument
The two-level critical state model, which describes the observed magnetic hysteresis by incorporating two distinct levels of critical current densities arising from the granular structure.
If this is right
- Granularity plays a key role in the superconductivity of FeTe films.
- The superconductivity is influenced by the presence of multiple critical states due to inhomogeneity.
- Mutual inductance combined with magneto transport can reveal granular effects in thin film superconductors.
- Annealing in oxygen induces superconductivity but with granular characteristics in FeTe.
Where Pith is reading between the lines
- Similar two-level models might apply to other granular iron-based superconductors.
- Controlling granularity could be a way to tune the superconducting properties in these films.
- Single crystal studies might not show the same hysteresis, isolating the granular contribution.
Load-bearing premise
The observed hysteresis requires a separate two-level critical state framework due to granularity rather than arising solely from magnetism, spin-orbit coupling, inhomogeneity, or lattice distortion.
What would settle it
Measuring the magnetic hysteresis in non-granular or single-crystal FeTe samples and finding whether it matches the two-level model predictions.
read the original abstract
FeTe, a non-superconducting parent compound in the iron-chalcogenide family, becomes superconducting after annealing in oxygen. Under the presence of magnetism, spin-orbit coupling, inhomogeneity and lattice distortion, the nature of its superconductivity is not well understood. Here, we combined mutual inductance technique with magneto transport to study the magnetization and superconductivity of FeTe thin films. We found that the films with the highest Tc showed non-saturating superfluid density and a strong magnetic hysteresis distinct from that in a homogeneous superconductor. Such hysteresis can be well explained by a two-level critical state model and suggested the importance of granularity to superconductivity in this compound.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports experimental results on oxygen-annealed FeTe thin films using mutual-inductance and magneto-transport measurements. Films with the highest Tc exhibit non-saturating superfluid density and magnetic hysteresis distinct from homogeneous superconductors; the authors attribute the hysteresis to a two-level critical state model and conclude that granularity is important for superconductivity in this compound amid magnetism, spin-orbit coupling, inhomogeneity, and lattice distortion.
Significance. If the two-level model is shown to be required by the data rather than an optional description, the result would strengthen the case that granularity (weak links or inhomogeneous pinning) governs the magnetic response in FeTe films, offering a concrete experimental handle on how inhomogeneity interacts with the listed competing orders in iron chalcogenides.
major comments (2)
- [Abstract] Abstract: the central claim that the observed hysteresis 'can be well explained by a two-level critical state model' is load-bearing for the conclusion on granularity, yet the manuscript provides no quantitative model comparison (residual analysis, Bayesian evidence, or parameter-count penalty) against a single-level Bean model that already incorporates the inhomogeneity explicitly listed in the abstract; without this, it remains unclear whether the two-level framework is demanded by the mutual-inductance and transport data or merely compatible with them.
- The extraction of superfluid density and the identification of its non-saturating behavior are not accompanied by error analysis or checks against possible artifacts from the mutual-inductance geometry or film inhomogeneity; this directly affects whether the non-saturation itself requires the two-level granularity picture.
minor comments (1)
- [Abstract] The phrasing 'Under the presence of' in the abstract should be revised to 'In the presence of' for standard English usage.
Simulated Author's Rebuttal
We thank the referee for the careful reading and constructive comments. We address each major comment below and will revise the manuscript to incorporate the suggested improvements.
read point-by-point responses
-
Referee: [Abstract] Abstract: the central claim that the observed hysteresis 'can be well explained by a two-level critical state model' is load-bearing for the conclusion on granularity, yet the manuscript provides no quantitative model comparison (residual analysis, Bayesian evidence, or parameter-count penalty) against a single-level Bean model that already incorporates the inhomogeneity explicitly listed in the abstract; without this, it remains unclear whether the two-level framework is demanded by the mutual-inductance and transport data or merely compatible with them.
Authors: We agree that a quantitative comparison is needed to establish whether the two-level model is required by the data. In the revised manuscript we will add a direct comparison of the two-level critical state model to the single-level Bean model, including residual analysis, to demonstrate that the two-level framework provides a demonstrably better description of the hysteresis. revision: yes
-
Referee: [—] The extraction of superfluid density and the identification of its non-saturating behavior are not accompanied by error analysis or checks against possible artifacts from the mutual-inductance geometry or film inhomogeneity; this directly affects whether the non-saturation itself requires the two-level granularity picture.
Authors: We acknowledge that explicit error analysis and artifact checks are missing. In the revised manuscript we will include error bars on the superfluid density, together with a discussion of possible artifacts from the mutual-inductance geometry and film inhomogeneity, to confirm the robustness of the non-saturating behavior. revision: yes
Circularity Check
No circularity: experimental observation explained by invoked model
full rationale
The paper reports mutual-inductance and magneto-transport measurements on oxygen-annealed FeTe films, documenting non-saturating superfluid density and hysteresis loops distinct from homogeneous superconductors. It states that the observed hysteresis 'can be well explained by a two-level critical state model' without presenting any derivation, fitted parameter, or equation chain in which a prediction is constructed from the same inputs. No self-citation is load-bearing for a uniqueness claim, and the model is applied interpretively after data collection rather than derived from the paper's own equations. The work is therefore self-contained as an experimental report.
Axiom & Free-Parameter Ledger
Reference graph
Works this paper leans on
-
[1]
Wang Q Y, Li Z, Zhang W H, Zhang Z C, Zhang J S, Li W, Ding H, Ou Y B, Deng P, Chang K, Wen J, Song C L, He K, Jia J F, Ji S H, Wang Y Y, Wang L L, Chen X, Ma X C and Xue Q K 2012 Chinese Physics Letters 29 037402
work page 2012
-
[2]
Carlson E W, Kivelson S A, Orgad D and Emery V J 2004 Concepts in High Temperature Superconductivity (Berlin: Springer) p 275
work page 2004
-
[3]
Dai P 2015 Reviews of Modern Physics 87 855
work page 2015
-
[4]
Davis J C S and Lee D H 2013 Proceedings of the National Academy of Sciences 110 17623
work page 2013
-
[5]
Zhang P, Yaji K, Hashimoto T, Ota Y, Kondo T, Okazaki K, Wang Z, Wen J, Gu G D, Ding H and Shin S 2018 Science 360 182
work page 2018
-
[6]
Yin J X, Wu Z, Wang J H, Ye Z Y, Gong J, Hou X Y, Shan L, Li A, Liang X J, Wu X X, Li J, Ting C S, Wang Z Q, Hu J P, Hor P H, Ding H and Pan S H 2015 Nature Physics 11 543
work page 2015
-
[7]
Nie Y, Telesca D, Budnick J I, Sinkovic B and Wells B O 2010 Physical Review B 82 020508(R)
work page 2010
-
[8]
Si W, Jie Q, Wu L, Zhou J, Gu G, Johnson P D and Li Q 2010 Physical Review B 81 092506
work page 2010
-
[9]
Hu H, Kwon J H, Zheng M, Zhang C, Greene L H, Eckstein J N and Zuo J-M 2014 Physical Review B 90 180504(R)
work page 2014
-
[10]
Han Y, Li W Y, Cao L X, Wang X Y, Xu B, Zhao B R, Guo Y Q and Yang J L 2010 Physical Review Letters 104 017003
work page 2010
-
[11]
Liu T J, Hu J, Qian B, Fobes D, Mao Z Q, Bao W, Reehuis M, Kimber S A J, Prokeš K, Matas S, Argyriou D N, Hiess A, Rotaru A, Pham H, Spinu L, Qiu Y, Thampy V, Savici A T, Rodriguez J A and Broholm C 2010 Nature Materials 9 718
work page 2010
-
[12]
Logvenov G, Gozar A and Bozovic I 2009 Science 326 699
work page 2009
-
[13]
Zhang Z, Wang Y H, Song Q, Liu C, Peng R, Moler K A, Feng D L and Wang Y Y 2015 Science Bulletin 60 1301
work page 2015
-
[14]
Bozovic I, He X, Wu J and Bollinger A T 2016 Nature 536 309
work page 2016
-
[15]
Fiory A T, Hebard A F, Eick R H, Mankiewich P M, Howard R E and O’Malley M L 1990 Physical Review Letters 65 3441
work page 1990
-
[16]
Clem J R and Coffey M W 1992 Physical Review B 46 14662
work page 1992
-
[17]
Fiory A T, Hebard A F, Mankiewich P M and Howard R E 1988 Applied Physics Letters 52 2165
work page 1988
-
[18]
Deepwell D, Peets D C, Truncik C J S, Murphy N C, Kennett M P, Huttema W A, Liang R, Bonn D A, Hardy W N and Broun D M 2013 Physical Review B 88 214509
work page 2013
-
[19]
Ji L, Rzchowski M S, Anand N and Tinkham M 1993 Physical Review B 47 470
work page 1993
-
[20]
Clem J R and Hao Z 1993 Physical Review B 48 13774
work page 1993
-
[21]
Nguyen P P, Oates D E, Dresselhaus G and Dresselhaus M S 1993 Physical Review B 48 6400
work page 1993
-
[22]
Kang M, Blumberg G, Klein M V and Kolesnikov N N 1996 Physical Review Letters 77 4434
work page 1996
-
[23]
Cohen R W and Abeles B 1968 Physical Review 168 444
work page 1968
-
[24]
1 Unsaturated superconductivity in FeTe films after annealing in oxygen
Shalnikov A 1938 Nature 142 74 Fig. 1 Unsaturated superconductivity in FeTe films after annealing in oxygen. (a) The sheet resistance (𝑅) of a 49 nm thick FeTe sample after annealing in oxygen. Inset: resistance over a larger temperature range showing a transition around 70 K similar to the antiferromagnetic transition in the non-superconducting FeTe bulk...
work page 1938
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.