Graphene in curved Snyder space

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Hamil B., Aounallah H., LÜTFÜOĞLU B. C.

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, cilt.75, sa.10, ss.809-817, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 75 Sayı: 10
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1515/zna-2020-0159
  • Dergi Adı: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.809-817
  • Anahtar Kelimeler: curved Snyder space, graphene, partition function, Snyder model, thermodynamic functions, P-SPACE, FIELD, CONSTANT, QUANTIZATION, UNCERTAINTY, MODEL
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The Snyder-de Sitter (SdS) model which is invariant under the action of the de Sitter group, is an example of a noncommutative space-time with three fundamental scales. In this paper, we considered the massless Dirac fermions in graphene layer in a curved Snyder space-time which are subjected to an external magnetic field. We employed representation in the momentum space to derive the energy eigenvalues and the eigenfunctions of the system. Then, we used the deduced energy function obtaining the internal energy, heat capacity, and entropy functions. We investigated the role of the fundamental scales on these thermal quantities of the graphene layer. We found that the effect of the SdS model on the thermodynamic properties is significant.