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Interplay between chiral media and perfect electromagnetic conductor plates: repulsive vs. attractive Casimir force transitions

by Thomas Oosthuyse, David Dudal

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Submission summary

Authors (as registered SciPost users): David Dudal · Thomas Oosthuyse
Submission information
Preprint Link: https://arxiv.org/abs/2301.12870v6  (pdf)
Date accepted: 2023-11-08
Date submitted: 2023-10-04 16:53
Submitted by: Oosthuyse, Thomas
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

We determine the Casimir energies and forces in a variety of potentially experimentally viable setups, consisting of parallel plates made of perfect electromagnetic conductors (PEMCs), which generalize perfect electric conductors (PECs) and perfect magnetic conductors (PMCs), and Weyl semimetals (WSMs). Where comparison is possible, our results agree with the Casimir forces calculated elsewhere in the literature, albeit with different methods. We find a multitude of known but also new cases where repulsive Casimir forces are in principle possible, but restricting the setup to PECs combined with the aforementioned WSM geometry, results in purely attractive Casimir forces.

Author comments upon resubmission

Dear Editor,

we thank both Reviewers for their helpful feedback towards improving our manuscript.

Here follows our reply to their queries:

  • We have traded the $\theta$'s of the boundary conditions for $\cot\alpha$'s to avoid confusion and improve our plots.

  • On p5, we have added the sentence "The results of this section agree with [14, 15]" to make proper reference to related works [14,15].

  • To justify our plotting interval [0,20], we added the paragraph "Our β parameter is a rescaled version of the one typically found in the literature ... [27,33,34]." on page 3, which suggests that this interval is indeed physically relevant and that our results might go beyond pure theoretical interest.

  • Just before eq.(2), we commented with "In principle... work." about the possibility to have discontinuities in the $\theta(z)$ profile, related to Hall surface currents, see also the Green's function comment at the end of Section II.

  • We have decided to leave the different "plate geometry figures" gathered together in Appendix A to maintain the reading flow of Section III, where we want to attract most attention to our results/the Casimir force figures. If the Reviewer insists, we are willing to redistribute the various "plate geometry figures" over the associated Subsections of Section III.

In addition, we have also implemented some further improvements:

  • We added the references 23, 26 and 32-36

  • The comparison with the QED result in eqs.(20) and (23) is made more concrete using a proper next to leading order series expansion.

  • We have made slight language improvements in the title, abstract and main text wherever appropriate.

In summary, we hope that the updated version of our manuscript will be taken into account for possible publication in SciPost Phys. If any further Reviewer comments would arise, we are happy to continue the discussion.

Thank you for your attention.

Sincerely yours, Thomas Oosthuyse and David Dudal

List of changes

* All appearances of $\theta$ and $\theta^\prime$ have been rewritten in terms of $\alpha$.

* On p5, we have added the sentence "The results of this section agree with [14, 15]" to make proper reference to related works [14,15].

* We added the paragraph "Our $\beta$ parameter is a rescaled version of the one typically
found in the literature ... [27,33,34]." on page 3.

* Just before eq.(2), we commented with "In principle... work." about the possibility to have discontinuities in the $\theta(z)$ profile.

* We made a comment on the Green's function related to Hall currents at the end of Section II.

* The added references are 23, 26 and 32-36

* In eqs.(20) and (23) we expanded to higher order.

* We have made slight language improvements in the title, abstract and main text wherever appropriate.

Published as SciPost Phys. 15, 213 (2023)


Reports on this Submission

Report #2 by Anonymous (Referee 4) on 2023-10-30 (Invited Report)

Report

I am satisfied with the author's responses and changes to the manuscript. The paper is well written and addresses interesting questions of current interest. I recommend publication without any additional changes.

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Report #1 by Anonymous (Referee 3) on 2023-10-13 (Invited Report)

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I am satisfied with the revision. I find this paper interesting and well written. I believe that it makes an important contribution to the field.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
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