https://doi.org/10.1140/epjb/s10051-025-01042-w
Research - Condensed Matter
Thermodynamic properties and superstatistics of graphene under a constant magnetic field
1
Institute of Mathematic and Physical Sciences (IMSP), University of Abomey-Calavi (UAC), Abomey-Calavi, Republic of Benin
2
Ecole Polytechnique d’Abomey Calavi, Université d’Abomey-Calavi, Abomey-Calavi, Republic of Benin
3
Département de Sciences et Application, Université de DOSSO, Dosso, Niger
4
Université Nationale des Sciences, Technologies Ingénerie et Mathématiques, Abomey-Calavi, Republic of Benin
Received:
21
June
2025
Accepted:
5
September
2025
Published online:
21
September
2025
In this paper, we present the solutions of the Dirac–Weyl equation for graphene under a constant magnetic field. The resulting spectrum is used to determine the partition function, a key quantity in the study of thermodynamic properties. From this function, we analyze the mean energy, specific heat, entropy, and free energy in two different frameworks: the canonical ensemble and the superstatistical approach. The study confirms the relativistic nature of electron transport in graphene under a magnetic field. It also reveals that fluctuations introduce additional disorder in the system. The obtained results are in good agreement with those already reported in the literature.
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© The Author(s), under exclusive licence to EDP Sciences, SIF 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.
