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Josephson effects between the Kitaev ladder superconductors
by Osamu Kanehira and Hiroki Tsuchiura
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Submission summary
| Authors (as registered SciPost users): | Hiroki Tsuchiura |
| Submission information | |
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| Preprint Link: | scipost_202208_00038v1 (pdf) |
| Date submitted: | 2022-08-15 20:09 |
| 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: |
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| 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.
Current status:
Reports on this Submission
Strengths
1- explicit results for observable manifestations of topological phases in a Kitaev ladder system
2- robust numerics
3- clear presentation of all findings.
Weaknesses
1- in the light of earlier works the findings are not too surprising, but they nicely illustrate how the various topological phases manifest themselves in the characteristics of the Josephson energies and currents.
Report
This manuscript reports various Josephson effects arising from a tunnel junction between two Kitaev ladders. The main results, presented in section 3, are the numerically determined ground state energies as a function of angles $\theta$ and $\phi$ representing superconducting phase differences between and across the ladders. The results are consistent with earlier findings of Maiellaro et al (cited as [7]) on the phase diagram of the Kitaev ladder.
Requested changes
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 $4 \pi$ periodic case, it would be good to mention that the $4\pi$ period arises due to a crossing of two curves at $\theta=\pi$ (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.