Magic-angle twisted bilayer graphene under orthogonal and in-plane magnetic fields
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866914800328507392 |
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| author | Bigeard, Gaëlle Cresti, Alessandro |
| author_facet | Bigeard, Gaëlle Cresti, Alessandro |
| contents | We investigate the effect of a magnetic field on the band structure of bilayer graphene with a magic twist angle of 1.08°. The coupling of a tight-binding model and the Peierls phase allows the calculation of the energy bands of periodic two-dimensional systems. For an orthogonal magnetic field, the Landau levels are dispersive, particularly for magnetic lengths comparable to or larger than the twisted bilayer cell size. A high in-plane magnetic field modifies the low-energy bands and gap, which we demonstrate to be a direct consequence of the minimal coupling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_09960 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Magic-angle twisted bilayer graphene under orthogonal and in-plane magnetic fields Bigeard, Gaëlle Cresti, Alessandro Mesoscale and Nanoscale Physics We investigate the effect of a magnetic field on the band structure of bilayer graphene with a magic twist angle of 1.08°. The coupling of a tight-binding model and the Peierls phase allows the calculation of the energy bands of periodic two-dimensional systems. For an orthogonal magnetic field, the Landau levels are dispersive, particularly for magnetic lengths comparable to or larger than the twisted bilayer cell size. A high in-plane magnetic field modifies the low-energy bands and gap, which we demonstrate to be a direct consequence of the minimal coupling. |
| title | Magic-angle twisted bilayer graphene under orthogonal and in-plane magnetic fields |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2307.09960 |