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 | |
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| Preprint Link: | scipost_202509_00027v1 (pdf) |
| Date submitted: | Sept. 12, 2025, 10:40 a.m. |
| Submitted by: | Yuri Shtanov |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| 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
Current status:
Reports on this Submission
Strengths
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The authors derive and discuss the Sagnac and Mashhoon effects in graphene, and provide quantitative estimates for both effects.
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The derivations are presented in a very clear manner and discussed on sound physical basis.
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In previous work it was already demonstrated that the Sagnac effect in Dirac materials, is governed by the rest mass of the free electron, despite the (massless) linear dispersion of the electronic quasiparticles. In the present paper the authors go beyond previous work using the Larmor theorem which is used to demonstrate the connection between the Sagnac and Aharonov–Bohm effects. An elegant and insightful result.
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The approach is extended by including the pseudospin as well as the electron’s intrinsic spin.
Weaknesses
Report
Requested changes
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.
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This equation is invariant with respect to local gauge transformations, and the observables such as the current-density ψγµψ are gauge-invariant.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)