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Josephson effects between the Kitaev ladder superconductors

by Osamu Kanehira, Hiroki Tsuchiura

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Submission summary

Authors (as registered SciPost users): Hiroki Tsuchiura
Submission information
Preprint Link: https://arxiv.org/abs/2302.08828v1  (pdf)
Date accepted: 2023-04-24
Date submitted: 2023-02-20 10:36
Submitted by: Tsuchiura, Hiroki
Submitted to: SciPost Physics Proceedings
Proceedings issue: International Conference on Strongly Correlated Electron Systems (SCES2022)
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approaches: Theoretical, Computational

Abstract

The two-leg ladder system consisting of the Kitaev chains is known to exhibit a richer phase diagram than that of the single chain. We theoretically investigate the variety of the Josephson effects between the ladder systems. We consider the Josephson phase difference $\theta$ between these two ladder systems as well as the phase difference $\phi$ between the parallel chains in each ladder system. The total energy of the junction at $T = 0$ is calculated by a numerical diagonalization method as functions of $\theta$, $\phi$, and also a transverse hopping $t_{\perp}$ in the ladders. We find that, by controlling $t_{\perp}$ and $\phi$, the junction exhibits not only the fractional Josephson effect for the phase difference $\theta$, but also the usual 0-junction and even $\pi$-junction properties.

Author comments upon resubmission

Thank you very much for communicating the referee’s report on the paper scipost_202208_00038v1 entitled “Josephson effects between the Kitaev ladder superconductors” by O. Kanehira and H. Tsuchiura. We have revised the manuscript according to the referee’s suggestions. The changes are summarized below. We believe that the revision addresses the referee’s concerns.

List of changes

We have revise the manuscript in accordance with all of the following points:
1- p2: are also affect -> also affect
2- p2: Maiellaro et al. has shown -> Maiellaro et al. have shown
3- p4: while I understand how fig 2a represents the 4π periodic case, it would be good to mention that the 4π period arises due to a crossing of two curves at θ=π (which as such is not visible in the figure)
4- p6: always appear -> always appears
5-p6: omit the sentence: Acknowledgements should follow immediately after the conclusion.

Published as SciPost Phys. Proc. 11, 014 (2023)

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