https://doi.org/10.1140/epjp/s13360-025-06388-9
Regular Article
Thermodynamic properties of quantum dot in the fractional Dirac equation
1
Faculties Member of Physics Department, Sebelas Maret University, Surakarta, Indonesia
2
Doctoral Student of Physics Department, Sebelas Maret University, Surakarta, Indonesia
Received:
30
January
2025
Accepted:
29
April
2025
Published online:
30
May
2025
This work studies the fractional Dirac equation with Hulthen potential and position-dependent mass (PDM). Using the generalized fractional derivative Nikiforov-Uvarov (GFD-NU) method, the energy eigenvalue for quantum dot (QD) has been obtained and plotted in various values of potential and fractional parameter. In addition, the thermodynamic properties of QD are examined by using the partition function determined by the defined energy eigenvalues. We present a simple visualization of the thermodynamic properties, and it showed that the internal energy tends to be constant in changing temperatures, whereas the entropy increases with increasing temperatures. We compare our findings with those found in the literature in order to validate them.
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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.
