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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/2412.15887 |
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| _version_ | 1866911061651750912 |
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| author | Gontier, David Tauber, Clément |
| author_facet | Gontier, David Tauber, Clément |
| contents | We study and classify the emergence of protected edge modes at the junction of one-dimensional materials. Using symmetries of Lagrangian planes in boundary symplectic spaces, we present a novel proof of the periodic table of topological insulators in one dimension. We show that edge modes necessarily arise at the junction of two materials having different topological indices. Our approach provides a systematic framework for understanding symmetry-protected modes in one-dimension. It does not rely on periodic nor ergodicity and covers a wide range of operators which includes both continuous and discrete models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15887 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological junctions for one-dimensional systems Gontier, David Tauber, Clément Mathematical Physics Materials Science 34L40, 34B09, 53D12, We study and classify the emergence of protected edge modes at the junction of one-dimensional materials. Using symmetries of Lagrangian planes in boundary symplectic spaces, we present a novel proof of the periodic table of topological insulators in one dimension. We show that edge modes necessarily arise at the junction of two materials having different topological indices. Our approach provides a systematic framework for understanding symmetry-protected modes in one-dimension. It does not rely on periodic nor ergodicity and covers a wide range of operators which includes both continuous and discrete models. |
| title | Topological junctions for one-dimensional systems |
| topic | Mathematical Physics Materials Science 34L40, 34B09, 53D12, |
| url | https://arxiv.org/abs/2412.15887 |