https://doi.org/10.1140/epjp/s13360-024-05835-3
Regular Article
Non-inertial effects in gapped graphene
1
Escola Cidadã Integral e Técnica Nicea Claudino Pinheiro, 58900-000, Cajazeiras, PB, Brazil
2
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, PB, Brazil
3
Instituto de Física, Universidade Federal de Alagoas, 57072-970, Maceió, AL, Brazil
Received:
12
July
2024
Accepted:
12
November
2024
Published online:
26
November
2024
Several studies emphasize the importance of accounting for non-inertial effects in curved space, particularly in the context of relativistic quantum mechanics and its practical applications. Notably, the background provided by graphene has demonstrated significant enhancements in various evolving quantum technologies. In light of this, we explore the non-inertial effects in gapped graphene, also known as massive graphene, wherein the mass term is contingent solely upon the separation between the valence and conduction bands in this semiconductor material. Our investigation focuses on analyzing the behavior and frequency of the Dirac oscillator when applied to a gapped graphene sheet subject to a topological defect known as a disclination in a rotating frame. Additionally, we explore the topological ramifications on relativistic energy levels, alongside deriving the Dirac spinors for positive energy solutions. Furthermore, we investigate the persistent current and magnetization within the rotating frame, providing a comprehensive analysis of the system’s dynamics and properties.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.