Dirac fermions in graphene under curved spacetime: a study of Beltrami geometry and $${{\mathcal {CPT}}}$$ CPT symmetry
Abstract 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13803-z |
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| author | Ikram Imane Kouachi Özlem Yeşiltaş |
| author_facet | Ikram Imane Kouachi Özlem Yeşiltaş |
| author_sort | Ikram Imane Kouachi |
| collection | DOAJ |
| description | Abstract 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 $${\mathcal {CPT}}$$ CPT symmetry in shaping the Hamiltonian and derive the metric operator $$\eta $$ 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. |
| format | Article |
| id | doaj-art-5817dbf4ada14ba284cec0593cf99e11 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-5817dbf4ada14ba284cec0593cf99e112025-02-02T12:38:28ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111310.1140/epjc/s10052-025-13803-zDirac fermions in graphene under curved spacetime: a study of Beltrami geometry and $${{\mathcal {CPT}}}$$ CPT symmetryIkram Imane Kouachi0Özlem Yeşiltaş1Physics Department, Faculty of Science, Gazi UniversityPhysics Department, Faculty of Science, Gazi UniversityAbstract 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 $${\mathcal {CPT}}$$ CPT symmetry in shaping the Hamiltonian and derive the metric operator $$\eta $$ 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.https://doi.org/10.1140/epjc/s10052-025-13803-z |
| spellingShingle | Ikram Imane Kouachi Özlem Yeşiltaş Dirac fermions in graphene under curved spacetime: a study of Beltrami geometry and $${{\mathcal {CPT}}}$$ CPT symmetry European Physical Journal C: Particles and Fields |
| title | Dirac fermions in graphene under curved spacetime: a study of Beltrami geometry and $${{\mathcal {CPT}}}$$ CPT symmetry |
| title_full | Dirac fermions in graphene under curved spacetime: a study of Beltrami geometry and $${{\mathcal {CPT}}}$$ CPT symmetry |
| title_fullStr | Dirac fermions in graphene under curved spacetime: a study of Beltrami geometry and $${{\mathcal {CPT}}}$$ CPT symmetry |
| title_full_unstemmed | Dirac fermions in graphene under curved spacetime: a study of Beltrami geometry and $${{\mathcal {CPT}}}$$ CPT symmetry |
| title_short | Dirac fermions in graphene under curved spacetime: a study of Beltrami geometry and $${{\mathcal {CPT}}}$$ CPT symmetry |
| title_sort | dirac fermions in graphene under curved spacetime a study of beltrami geometry and mathcal cpt cpt symmetry |
| url | https://doi.org/10.1140/epjc/s10052-025-13803-z |
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