Absolutely continuous spectrum for truncated topological insulators
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914963411435520 |
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| author | Drouot, Alexis Shapiro, Jacob Zhu, Xiaowen |
| author_facet | Drouot, Alexis Shapiro, Jacob Zhu, Xiaowen |
| contents | We show that if a topological insulator is truncated along a curve that separates the plane in two sufficiently large regions, then the edge system admits absolutely continuous spectrum. Our approach combines a recent version of the bulk-edge correspondence along curves that separates geometry and intrinsic conductance [DZ24], with a result about absolutely continuous spectrum for straight edges [BW22]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02157 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Absolutely continuous spectrum for truncated topological insulators Drouot, Alexis Shapiro, Jacob Zhu, Xiaowen Mathematical Physics Spectral Theory Quantum Physics We show that if a topological insulator is truncated along a curve that separates the plane in two sufficiently large regions, then the edge system admits absolutely continuous spectrum. Our approach combines a recent version of the bulk-edge correspondence along curves that separates geometry and intrinsic conductance [DZ24], with a result about absolutely continuous spectrum for straight edges [BW22]. |
| title | Absolutely continuous spectrum for truncated topological insulators |
| topic | Mathematical Physics Spectral Theory Quantum Physics |
| url | https://arxiv.org/abs/2410.02157 |