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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.08789 |
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| _version_ | 1866912830508236800 |
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| author | Dogan, Semra Gurtas Hasanirokh, Kobra Mustafa, Omar Guvendi, Abdullah |
| author_facet | Dogan, Semra Gurtas Hasanirokh, Kobra Mustafa, Omar Guvendi, Abdullah |
| contents | This paper presents an analytical investigation into the dynamics of Weyl pairs within magnetized helicoidal graphene nanoribbons. By embedding a curved surface into flat Minkowski space-time, we derive a fully covariant two-body Dirac equation specific to this system. We begin by formulating a non-perturbative wave equation that governs the relative motion of the Weyl pairs and obtain exact solutions. Our results demonstrate the influence of the uniform magnetic field and the number of twists on the dynamics of Weyl pairs in graphene nanoribbons, providing precise energy values that lay a robust foundation for future research. Furthermore, we examine the material's response to perturbation fields by calculating the polarization function and investigating how twisting and magnetic fields affect this response. Our findings indicate that, in principle, the material's properties, which are crucial for practical applications, can be effectively controlled by precisely tuning the magnetic field and the number of twists in graphene nanoribbons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08789 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Twist-Induced Effects on Weyl Pairs in Magnetized Graphene Nanoribbons Dogan, Semra Gurtas Hasanirokh, Kobra Mustafa, Omar Guvendi, Abdullah Mesoscale and Nanoscale Physics Materials Science High Energy Physics - Theory Quantum Physics This paper presents an analytical investigation into the dynamics of Weyl pairs within magnetized helicoidal graphene nanoribbons. By embedding a curved surface into flat Minkowski space-time, we derive a fully covariant two-body Dirac equation specific to this system. We begin by formulating a non-perturbative wave equation that governs the relative motion of the Weyl pairs and obtain exact solutions. Our results demonstrate the influence of the uniform magnetic field and the number of twists on the dynamics of Weyl pairs in graphene nanoribbons, providing precise energy values that lay a robust foundation for future research. Furthermore, we examine the material's response to perturbation fields by calculating the polarization function and investigating how twisting and magnetic fields affect this response. Our findings indicate that, in principle, the material's properties, which are crucial for practical applications, can be effectively controlled by precisely tuning the magnetic field and the number of twists in graphene nanoribbons. |
| title | Twist-Induced Effects on Weyl Pairs in Magnetized Graphene Nanoribbons |
| topic | Mesoscale and Nanoscale Physics Materials Science High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2504.08789 |