https://doi.org/10.1140/epjp/s13360-024-05232-w
Regular Article
An anisotropic rotating cosmic string with Lorentz violation: thermodynamics and Landau levels
1
Departamento de Física, Universidade Federal da Paraíba, C.P. 5008, 58051-970, João Pessoa, Paraíba, Brazil
2
Departamento de Ciências Exatas e Naturais, Universidade Estadual do Sudoeste da Bahia (UESB), Campus Juvino Oliveira, 45700-00, Itapetinga, BA, Brazil
3
Departamento de Física, Universidade Federal do Ceará (UFC), C.P. 6030, Campus do Pici, 60455-760, Fortaleza, CE, Brazil
Received:
5
February
2024
Accepted:
1
May
2024
Published online:
24
May
2024
In this work, we generalize the spacetime induced by a rotating cosmic string, taking into account anisotropic effects due to the breaking of the Lorentz violation. In particular, we explore the energy levels of a massive spinless particle that is covariantly coupled to a uniform magnetic field aligned with the string. Subsequently, we introduce a scalar potential featuring both a Coulomb type and a linear confining term and comprehensively solve the Klein–Gordon equations for each configuration. Finally, by imposing rigid-wall boundary conditions, we determine the Landau levels when the linear defect itself possesses magnetization. Notably, our analysis reveals the occurrence of Landau quantization even in the absence of gauge fields, provided the string possesses spin. Finally, the thermodynamic properties are computed as well in these scenarios.
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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.
