Dirac fermions in graphene under curved spacetime: a study of Beltrami geometry and CPT symmetry

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Kouachi I. I., Yeşiltaş Ö.

EUROPEAN PHYSICAL JOURNAL C, cilt.85, ss.1-13, 2025 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 85
• Basım Tarihi: 2025
• Doi Numarası: 10.1140/epjc/s10052-025-13803-z
• Dergi Adı: EUROPEAN PHYSICAL JOURNAL C
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, INSPEC, zbMATH, Directory of Open Access Journals, Nature Index
• Sayfa Sayıları: ss.1-13
• Gazi Üniversitesi Adresli: Evet

Özet

We analyze the dynamics of Dirac fermions in graphene set within Beltrami spacetime, characterized by a negative curvature. This research investigates how both curvature and external electromagnetic fields influence electron motion, particularly in terms of Landau level quantization and the quantum Hall effect. By utilizing Darboux transformations, we construct novel solvable potentials along with their associated solutions. Furthermore, we assess the role of CPT" role="presentation" >$𝐶𝑃𝑇$ symmetry in shaping the Hamiltonian and derive the metric operator η" role="presentation" >$𝜂$ within the framework of pseudo-Hermitian quantum mechanics. This study sheds light on the intricate relationship between curvature, symmetry, and quantum behavior in graphene-based systems. We have tested our results using numerical calculations.