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Superconducting diode effect in a meso-wedge geometry with Abrikosov vortices

by C. A. Aguirre , J. Barba-Ortega , A. S. de Arruda and J. Faundez

Submission summary

Authors (as registered SciPost users): Jose Barba · Julian Faundez
Submission information
Preprint Link: scipost_202505_00028v4  (pdf)
Date submitted: Dec. 10, 2025, 12:16 a.m.
Submitted by: Julian Faundez
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
Approaches: Theoretical, Computational

Abstract

In this study, we explore the behavior of a superconducting meso-wedge geometry in 3+1 dimensions (three spatial dimensions plus time) subjected to transport currents at its boundaries and surfaces, as well as external fields applied along the $\hat{z}$-direction. The transport currents are included as two opposite polarities, $\textbf{J}>0$ and $\textbf{J}<0$. Using the generalized time-dependent Ginzburg-Landau theory and taking into account $\kappa$, we focus on two distinct scenarios: (i) constant external magnetic field with variable $\kappa$, and (ii) constant $\kappa$ with variable external magnetic field. As a result, under both scenarios, we analyze the voltage-current characteristics of the superconducting meso-wedge, finding that the critical currents differ between polarities, demonstrating the system's non-reciprocity. We further examine the efficiency of the diode as a function of $\kappa$ and the external magnetic field applied. Furthermore, our observations reveal that the current polarity strongly influences the vortex configuration, the parameter $\kappa$, and the applied magnetic field. In particular, the formation of Abrikosov-type vortices exhibits pronounced inhomogeneity depending on the direction of the transport currents. This underscores that the diode effect in the superconducting meso-wedge is intimately associated with the anisotropic nucleation of Abrikosov vortices. Notably, the emergence of polarity-dependent vortex patterns can serve as a distinctive hallmark of the diode effect in these superconducting systems.

Author comments upon resubmission

Scipost Physics Core

Dear Editor,

We thank you for the opportunity to resubmit our MS entitled Superconducting diode effect in a meso-wedge geometry with Abrikosov vortices". Manuscript reference: $scipost_202505_00028v3$ for consideration in Scipost Physics Core.

Following Referee 2’s valuable comments, we have thoroughly revised the MS and incorporated all requested clarifications and improvements.

We believe that the revised version adequately addresses all concerns raised by Referee 2 and substantially strengthens the presentation of our results. We therefore hope that the MS is now suitable for publication in SciPost Physics Core.

Thank you for your consideration and we look forward to hearing from you.

Sincerely,

J. Faundez, on behalf of the authors.

List of changes

(1) Five relevant references were added that support the current study
(2) New paragraphs have been added, as recommended by the referee.
(3) Text regarding dimensions was removed from the captions of Figures 2 and 5.
(4) We have added a new subsection in the new version of the MS.
(5) The English was completely revised.
All changes are highlighted in blue color in the revised version of the MS.
Current status:
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