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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.12569 |
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| _version_ | 1866909080555094016 |
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| author | Treust, Loïc Le Barbaroux, Jean-Marie Cornean, Horia D. Stockmeyer, Edgardo Raymond, Nicolas |
| author_facet | Treust, Loïc Le Barbaroux, Jean-Marie Cornean, Horia D. Stockmeyer, Edgardo Raymond, Nicolas |
| contents | We consider a Dirac operator with constant magnetic field defined on a half-plane with boundary conditions that interpolate between infinite mass and zigzag. By a detailed study of the energy dispersion curves we show that the infinite mass case generically captures the profile of these curves, which undergoes a continuous pointwise deformation into the topologically different zigzag profile. Moreover, these results are applied to the bulk-edge correspondence. In particular, by means of a counterexample, we show that this correspondence does not always hold true in the zigzag case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12569 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit Treust, Loïc Le Barbaroux, Jean-Marie Cornean, Horia D. Stockmeyer, Edgardo Raymond, Nicolas Mathematical Physics Spectral Theory We consider a Dirac operator with constant magnetic field defined on a half-plane with boundary conditions that interpolate between infinite mass and zigzag. By a detailed study of the energy dispersion curves we show that the infinite mass case generically captures the profile of these curves, which undergoes a continuous pointwise deformation into the topologically different zigzag profile. Moreover, these results are applied to the bulk-edge correspondence. In particular, by means of a counterexample, we show that this correspondence does not always hold true in the zigzag case. |
| title | Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2401.12569 |