Green's functions for magnetic Dirac operators and bulk-edge correspondence
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914050333474816 |
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| author | Barbaroux, Jean-Marie Cornean, Horia D. Treust, Loïc Le Raymond, Nicolas Stockmeyer, Edgardo |
| author_facet | Barbaroux, Jean-Marie Cornean, Horia D. Treust, Loïc Le Raymond, Nicolas Stockmeyer, Edgardo |
| contents | We study the resolvent kernel (Green's function) of magnetic Dirac operators on a half-plane with boundary conditions interpolating between infinite mass and zigzag cases, excluding the latter. We show that these kernels have all the required properties so that the proof of bulk-edge correspondence from the infinite mass case shown recently can be repeated ad litteram. The zigzag case exhibits qualitatively different behavior and will be addressed in future work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17151 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Green's functions for magnetic Dirac operators and bulk-edge correspondence Barbaroux, Jean-Marie Cornean, Horia D. Treust, Loïc Le Raymond, Nicolas Stockmeyer, Edgardo Mathematical Physics Quantum Physics 35Pxx, 81Qxx, 81Q10, 35Q40, 35P05, 35J08 We study the resolvent kernel (Green's function) of magnetic Dirac operators on a half-plane with boundary conditions interpolating between infinite mass and zigzag cases, excluding the latter. We show that these kernels have all the required properties so that the proof of bulk-edge correspondence from the infinite mass case shown recently can be repeated ad litteram. The zigzag case exhibits qualitatively different behavior and will be addressed in future work. |
| title | Green's functions for magnetic Dirac operators and bulk-edge correspondence |
| topic | Mathematical Physics Quantum Physics 35Pxx, 81Qxx, 81Q10, 35Q40, 35P05, 35J08 |
| url | https://arxiv.org/abs/2509.17151 |