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Impurity effect and vortex cluster phase in mesoscopic type-1.5 superconductors
by Tian-Yi Han, Guo Wang, Jie Li, Hai Huang
This is not the latest submitted version.
Submission summary
| Authors (as registered SciPost users): | Guo Wang |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202411_00012v2 (pdf) |
| Date submitted: | July 24, 2025, 6:06 a.m. |
| Submitted by: | Guo Wang |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Phenomenological |
Abstract
Based on two-band time-dependent Ginzburg-Landau theory, we study the electromagnetic properties of two-band mesoscopic superconductors. We perform the numerical simulations with the finite element method, and determine the minimum sample size Lc for the existence of the type-1.5 superconductivity from the obtained phase diagram in the absence of impurity. Meanwhile in the presence of an isotropic impurity, our numerical results reveal that the vortex cluster state induced by the attractive defect potential will gradually appear in the mesoscopic system with the sample size L<Lc, and the critical defect strength is about 0.2 in the Tc disorder model. In addition, we also investigate the effect of anisotropic defect structures and multiple correlated disorders on the patterns of magnetic vortex distributions. Our theoretical study thus indicates that the diversity of impurity depositions has a significant influence on the semi-Meissner state in mesoscopic type-1.5 superconductors.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
List of changes
Current status:
Reports on this Submission
Report #2 by Anonymous (Referee 1) on 2025-9-20 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202411_00012v2, delivered 2025-09-20, doi: 10.21468/SciPost.Report.11972
Strengths
Weaknesses
Report
Recommendation
Publish (meets expectations and criteria for this Journal)
Report #1 by Anonymous (Referee 2) on 2025-8-26 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202411_00012v2, delivered 2025-08-26, doi: 10.21468/SciPost.Report.11806
Report
However, it should be clarified how these diagrams were obtained, and, specifically, which criteria were used to distinguish the vortex lattice and cluster phases. The studied systems have only 10-15 vortices, and the authors should motivate how they distinguish the phases while working with such a small number of vortices.
In addition to that, the current version of the text does not provide any details about the method used to draw the phase separation lines. I recommend that the authors specify which points they check in the parameter space and explain how they extrapolate the results.
Finally, I kindly ask the authors to increase the image resolution and the font size for Fig. 2 and Figs. 4-11.
Requested changes
1 - formally specify the difference between the vortex lattice phase and the vortex cluster phase
2 - describe the method used for the calculation of the phase diagrams
3 - increase the image resolution and the font size for Fig. 2 and Figs. 4-11
Recommendation
Ask for minor revision
We would like to thank the anonymous referee for very helpful suggestions. We have provided the point-by-point response to comments from Reviewer 2, see file attachment "Type-1.5-response-2.pdf" for detail.

Author: Wang Guo on 2025-10-27 [id 5951]
(in reply to Report 2 on 2025-09-20)We would like to thank the editor and the anonymous referee for the comments and suggestions on the manuscript. We would also like to appreciate the reviewer's recognition of our research work and the decision to recommend our manuscript for publication. According to the referee's suggestion, we will investigate the effects of interband Josephson coupling and try to develop a larger-scale disorder model for two-band mesoscopic superconductors in the future studies.