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<p>We study the thermodynamic properties of graphene in the presence of the minimum length under a constant magnetic field. The model is solved using the analytical method up to the second order of the deformation parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\beta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>. The energy spectrum of the system is calculated and depends on the deformation parameter. Furthermore, the partition function is obtained by the power series method, and certain thermodynamic properties such as internal energy, entropy, Helmholtz free energy, and heat capacity are determined.</p>

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Thermodynamic Properties of Graphene in an External Magnetic Field Within the Framework of the Generalized Uncertainty Principle

  • 期刊论文

  • 发表日期：

    2026年5月27日

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  • J. M. Gbetoho,
  • A. F. Dossa,
  • Gabriel Y. H. Avossevou

摘要

We study the thermodynamic properties of graphene in the presence of the minimum length under a constant magnetic field. The model is solved using the analytical method up to the second order of the deformation parameter \(\beta \) β . The energy spectrum of the system is calculated and depends on the deformation parameter. Furthermore, the partition function is obtained by the power series method, and certain thermodynamic properties such as internal energy, entropy, Helmholtz free energy, and heat capacity are determined.