Thermodynamic properties and superstatistics of graphene under a constant magnetic field

Assimiou M. Yarou (), Daniel S. Takou, Amidou Boukari, Guingarey Issoufou, Finagnon A. Dossa and Gabriel Y. H. Avossevou
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Assimiou M. Yarou: University of Abomey-Calavi (UAC)
Daniel S. Takou: Université d’Abomey-Calavi
Amidou Boukari: University of Abomey-Calavi (UAC)
Guingarey Issoufou: Université de DOSSO
Finagnon A. Dossa: Université Nationale des Sciences, Technologies Ingénerie et Mathématiques
Gabriel Y. H. Avossevou: University of Abomey-Calavi (UAC)

The European Physical Journal B: Condensed Matter and Complex Systems, 2025, vol. 98, issue 9, 1-9

Abstract: Abstract 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. Graphical abstract

Date: 2025
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DOI: 10.1140/epjb/s10051-025-01042-w

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