https://doi.org/10.1140/epjp/s13360-025-06155-w
Regular Article
Intermediate statistics: addressing the Landau diamagnetism problem
1
Departamento de Física, Universidade Federal do Rio Grande do Norte, 59078-900, Natal, RN, Brazil
2
Departamento de Física, Universidade Federal de Campina Grande, 58109-970, Campina Grande, PB, Brazil
3
National Institute of Science and Technology of Complex Systems, Universidade Federal do Rio Grande do Norte, 59078-900, Natal, RN, Brazil
4
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, PB, Brazil
Received:
7
October
2024
Accepted:
19
February
2025
Published online:
18
March
2025
Quantum groups and quantum algebras have received considerable attention in the last decades because they are very useful as mathematical tools of research. Existing proposals for quantum groups have always suggested the idea of deforming a classical object. Motivated by the possibility of anyons in three dimensions (
), with important consequences to a wide range of fields of physics, in the present work we investigate how the magnetization and other thermodynamic quantities, associated to the Landau diamagnetism problem, depend on the deforming parameter of two models with intermediate statistics: (i) q-fermions and (ii) F-anyons, and make comparisons between both cases. In particular, we extend the results from the literature for q-fermions by considering second-order terms in the expansion of the grand partition function. Also, we find that for F-anyons statistics the magnetization shows a stronger response with respect to magnetic fields compared to magnetization for q-fermions statistics. This theoretical outcome may be experimentally verified for instance in superconductors, that are perfect diamagnetic materials with strong magnetic susceptibility, by adjusting impurities or pressure. The latter can be associated to the deforming parameter q.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
