Sagnac and Mashhoon effects in graphene, by Yuri V. Shtanov, Taras-Hryhorii O. Pokalchuk, Sergei G. Sharapov

SciPost Physics Home Authoring Refereeing Submit a manuscript About Sagnac and Mashhoon effects in graphene Yuri V. Shtanov, Taras-Hryhorii O. Pokalchuk, Sergei G. Sharapov SciPost Phys. 20, 053 (2026) · published 23 February 2026 doi: 10.21468/SciPostPhys.20.2.053 pdf BiBTeX RIS Submissions/Reports 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. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhys.20.2.053TI - Sagnac and Mashhoon effects in graphenePY - 2026/02/23UR - https://scipost.org/SciPostPhys.20.2.053JF - SciPost PhysicsJA - SciPost Phys.VL - 20IS - 2SP - 053A1 - Shtanov, Yuri V.AU - Pokalchuk, Taras-Hryhorii O.AU - Sharapov, Sergei G.AB - 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.ER - × @Article{10.21468/SciPostPhys.20.2.053, title={{Sagnac and Mashhoon effects in graphene}}, author={Yuri V. Shtanov and Taras-Hryhorii O. Pokalchuk and Sergei G. Sharapov}, journal={SciPost Phys.}, volume={20}, pages={053}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhys.20.2.053}, url={https://scipost.org/10.21468/SciPostPhys.20.2.053},} Disclosure of Generative AI use The author(s) disclose that the following generative AI tools have been used in the preparation of this publication: We used chatGPT and DeepL only to check the grammar and style of the English language in some parts. Ontology / Topics See full Ontology or Topics database. Graphene Matter-wave interferometers Authors / Affiliations: mappings to Contributors and Organizations See all Organizations. 1 Yuri V. Shtanov, 2 Taras-Hryhorii O. Pokalchuk, 1 2 Sergei G. Sharapov 1 Bogolyubov Institute for Theoretical Physics [BITP] 2 Київський Академічний Університет / Kyiv Academic University Funders for the research work leading to this publication National Academy of Sciences of Ukraine [Національна академія наук України] National Research Foundation of Ukraine Simons Foundation