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Exploring the vortex phase diagram of Bogoliubov-de Gennes disordered superconductors
by Bo Fan and Antonio Miguel Garcia Garcia
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Submission summary
Authors (as registered SciPost users): | Antonio Miguel García García |
Submission information | |
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Preprint Link: | scipost_202305_00036v2 (pdf) |
Date submitted: | Sept. 10, 2023, 6:02 p.m. |
Submitted by: | García García, Antonio Miguel |
Submitted to: | SciPost Physics |
Ontological classification | |
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Academic field: | Physics |
Specialties: |
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Approach: | Theoretical |
Abstract
We study the interplay of vortices and disorder in a two-dimensional disordered superconductor at zero temperature described by the Bogoliubov-de Gennes (BdG) self-consistent formalism for lattices of sizes up to 100X100 where the magnetic flux is introduced by the Peierls substitution. We model substantially larger lattice size than in previous approaches (36X36) which has allowed us to identify a rich phase diagram as a function of the magnetic flux and the disorder strength. For sufficiently weak disorder, and not too strong magnetic flux, we observe a slightly distorted Abrikosov triangular vortex lattice. An increase in the magnetic flux leads to an unexpected rectangular vortex lattice. A further increase in disorder, or flux, gradually destroys the lattice symmetry though strong vortex repulsion persists. An even stronger disorder leads to deformed single vortices with an inhomogeneous core. As the number of vortices increases, vortex overlap becomes more frequent. Finally, we show that global phase coherence is a feature of all these phases and that disorder enhances substantially the critical magnetic flux with respect to the clean limit with a maximum on the metallic side of the insulating transition.
Author comments upon resubmission
Thanks for forwarding the three referee reports. A detailed response has been submitted separately. We think we have addressed all referee comments and suggestions satisfactorily. Indeed, the three reports were constructive and have helped make the paper better.
We are enclosing an updated manuscript.
We hope that the paper is now suitable for SciPost.
Your Sincerely,
The authors.
List of changes
Following the referees comments and suggestions, we have made the following changes in no particular order:
1. We have carried out a careful profreading of the full manuscript.
2. The plots providence direct evidence of the existence of triangular vortex lattice in the clean limit have been moved from the appendix to section III of the main text.
3. In section V, we switched to the Ginzburg-Landau theory prediction of the profile of the order parameter inside the vortex to compare with the numerical result from the solutiosn of the BdG equations.
4. In section II, after the introduction of the model, we have clarified why the range of parameters we are interested in are quite different to those employed to describe the physics of Hofstedter superconductors.
5. We have added structure factor plots (Fig. 2, 3, 5, 7) in order to provide sharop evidence of the vortex latice structure. Details of the calculation are in appendix D.
Current status:
Reports on this Submission
Report #3 by Anonymous (Referee 3) on 2023-9-26 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202305_00036v2, delivered 2023-09-26, doi: 10.21468/SciPost.Report.7849
Report
Additionally, I would suggest another proof-reading of the text as many grammatical errors remain. For example, on page 15: "where it is observed a clear deformation" should instead read "where a clear deformation is observed." Another common mistake is the use of "the vortices position," which should either read "the vortex position" or "the position of vortices." Once these are fixed, I believe the manuscript will be acceptable for publication.
Author: Antonio Miguel García García on 2023-09-27 [id 4018]
(in reply to Report 3 on 2023-09-26)See attached file with a detailed response to the referee comments and questions.
Attachment:
Report #2 by Anonymous (Referee 2) on 2023-9-12 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202305_00036v2, delivered 2023-09-12, doi: 10.21468/SciPost.Report.7814
Strengths
Weaknesses
Report
Requested changes
- Provide the system size in the caption to Fig. 13
Author: Antonio Miguel García García on 2023-09-27 [id 4017]
(in reply to Report 2 on 2023-09-12)See attached file with a detailed response to the referee comments and questions.
Attachment:
Report
Author: Antonio Miguel García García on 2023-09-27 [id 4016]
(in reply to Report 1 on 2023-09-11)We thank the referee for accepting the paper for publication and the previous comments and suggestions that helped make the paper better.
Anonymous on 2023-09-10 [id 3972]
Anonymous on 2023-09-27 [id 4015]
(in reply to Anonymous Comment on 2023-09-10 [id 3972])Thanks for pointing out the missing DOI's. In the updated version of the manuscript, we have added all the DOI's that we could find. We have also switched to SciPost style.