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Phase transitions in quantum dot-Majorana zero mode coupling systems

by Yue Mao, Qing-Feng Sun

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Submission summary

Authors (as registered SciPost users): Yue Mao
Submission information
Preprint Link: scipost_202406_00024v2  (pdf)
Date submitted: 2024-10-06 09:31
Submitted by: Mao, Yue
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory

Abstract

The magnetic doublet ground state (GS) of quantum dot (QD) could be changed to a spin-singlet GS by coupling to a superconductor. In analogy, here we study the GS phase transitions in QD-Majorana zero mode (MZM) coupling systems: GS behaves phase transition versus intra-dot energy level and QD-MZM coupling strength. The phase diagrams of GS are obtained, for cases with and without Zeeman term. Along with the phase transition, we also study the change of spin feature and density of states. The properties of phase transition are understood via a mean-field picture. Our study not only serves as an analogue of QD-superconductor phase transitions, but also gives alternative explanations on MZM-relevant experiments.

Author comments upon resubmission

We thank the editor for taking care of our paper and considering it for the review process. We thank the referee for reading our manuscript and providing critical comments. We have provided the reply to comments raised by the referee as individual author reply.

List of changes

- At the end of abstract, we add a sentence to emphasize the importance of our study.
- In lines 71-74, we add discussions on previous studies about lead-QD-MZM systems.
- In lines 75-78, we additionally explain why the superconductor is not included.
- In lines 84-93, we additionally explain MZM-QD coupling.
- In lines 100-102, 105, we add discussions on previous studies about Kondo effect.
- In lines 299-311, 353-354, we add some contents to emphasize our study's relevance to experiments.
- In lines 370-385, we add an Appendix to clarify the role of normal lead. This is also additionally mentioned in lines 59, 98-99.
- We also add a figure [Fig. 7] to help clarifying the role of normal lead.
- We add a reference [Ref. 55].

Current status:
Has been resubmitted

Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2025-1-21 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:scipost_202406_00024v2, delivered 2025-01-21, doi: 10.21468/SciPost.Report.10527

Strengths

- provides analytical expressions
- clear explanation of what is done and what effects are neglected

Weaknesses

- potentially important effects are neglected, but the paper is now transparent about this

Report

The authors have answered my questions, and extended their discussions considerably. I still believe that the paper neglects what are relevant effects in real experiments. However, they authors are now also very transparent about this aspect.

Hence, I believe the acceptance criteria for Scipost Physics Core are fulfilled, given that the analytical results of the authors can be interesting to some practitioners in the field.

However, the paper has several language errors, and I would recommend to have it properly proofread.

Recommendation

Ask for minor revision

  • validity: good
  • significance: ok
  • originality: ok
  • clarity: good
  • formatting: good
  • grammar: below threshold

Author:  Yue Mao  on 2025-02-03  [id 5180]

(in reply to Report 1 on 2025-01-21)
Category:
answer to question

We thank the referee for the feedback and suggestions. We have carefully checked the language of our manuscript, and made modifications accordingly.

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