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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 Garcia Garcia
Submission information
Preprint Link: scipost_202305_00036v3  (pdf)
Date accepted: 2023-10-11
Date submitted: 2023-09-27 14:10
Submitted by: Garcia Garcia, Antonio Miguel
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approach: Theoretical


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.

Published as SciPost Phys. 15, 196 (2023)

Author comments upon resubmission

Dear Editor,
we have addressed all referee comments and have updated the manuscript accordingly.
We hope you find the paper suitable for publication.
Yours Sincerely,
Bo Fan and Antonio Garcia

List of changes

1. We have carried out a careful additional proofreading of the paper.
2. In page 9, when we comment on Fig. 4, we have added details about the relation between the spatial distribution of the disordered potential and that of the order parameter.
3. We have added the lattice size in Fig. 13

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