SciPost Submission Page
Sagnac and Mashhoon effects in graphene
by Yuri V. Shtanov, Taras-Hryhorii O. Pokalchuk, Sergei G. Sharapov
Submission summary
| Authors (as registered SciPost users): | Yuri Shtanov |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202509_00027v2 (pdf) |
| Date submitted: | Jan. 17, 2026, 1:14 p.m. |
| Submitted by: | Yuri Shtanov |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
The author(s) disclose that the following generative AI tools have been used in the preparation of this submission:
We used chatGPT and DeepL only to check the grammar and style of the English language in some parts.
Abstract
We investigate the Sagnac and Mashhoon effects in graphene, taking into account both the pseudospin and intrinsic spin of electrons, within a simplified model of a rotating nanotube or infinitesimally narrow ring. Based on considerations of the relativistic phase of the wave function and employing the effective Larmor theorem, we demonstrate that the Sagnac fringe shift retains a form analogous to that for free electrons, governed by the electron's vacuum mass. In the case of a narrow ring, an additional $\pi$-phase shift arises due to the Berry phase associated with the honeycomb graphene lattice. The Mashhoon fringe shift retains its conventional form, with its dependence on the Fermi velocity.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
Thank you for your e-mail message of January 10, 2025 with an Editorial Recommendation, asking for a minor revision regarding our manuscript “Sagnac and Mashhoon effects in graphene”, by Yuri V. Shtanov, Taras-Hryhorii O. Pokalchuk, Sergei G. Sharapov.
Hereby, we resubmit a revised version with the referees' comments taken into account. We would like to thank the referees for their reports, remarks, and suggestions. The summary of the changes and the response to the referees are provided in the list of changes.
Sincerely,
The authors.
List of changes
In reply to the comments by Referee 1:
Suggestion: please consider rephrasing the sentence: This equation is invariant with respect to local gauge transformations, but the observables such as the current-density ψγµψ are gauge-invariant. > This equation is invariant with respect to local gauge transformations, and the observables such as the current-density ψγµψ are gauge-invariant.
We thank the Referee for the careful reading of the manuscript and have made this correction.
In reply to the comments by Referee 2:
- I have a comment/question regarding the case study of the rotating ring. Such a ring has edges, and the effects of edge states can be significant for graphene-based nanostructures. I think it would be good to discuss this point a little.
We thank the Referee for this comment. A discussion of this point has been added to the Conclusion section in the paragraph within lines 705–711.
- Minor note: in the bibliography, many references contain the corresponding arXiv number with a broken link. These numbers are not required.
The bibliography has been corrected accordingly, with references to arXiv numbers eliminated.
In reply to the comments by Referee 3:
- Do the effects for the setting based on nanotubes dependent on their character, i.e., whether they are of armchair- or zigzag-type?
We thank the Referee for this question. A discussion of this point has been added to Sec. 4.1 in lines 337–339 and 344–347. It is assumed that the radius R of the nanotube (or graphene cylinder) is sufficiently large, allowing one to safely neglect differences between zigzag, armchair or chiral nanotubes.
- The edges of graphene rings, cut out or electrostatically defined from graphene flakes, usually incorporate edge disorder and a mixture of zigzag- and armchair-type edge termination. This usually leads to (unavoidable) intervalley coupling, hence effecting the pseudo-spin. Do the results presented rely on vanishing intervalley coupling? How will pseudo-spin flips or electron spin flips affect the observability of the predicted phenomena? If so, is there still a way to use this setting for observing the effects? I ask the authors to include a discussion of these issues in their manuscript.
We thank the Referee for this comment, which is similar to the firs comment of Referee 2. A discussion of this point has been added to the Conclusion section in the paragraph within lines 705–711.