Weak topological phases in the presence of interactions
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913544623095808 |
|---|---|
| author | Camarena, Omar Antolín Debray, Arun Krulewski, Cameron Pacheco-Tallaj, Natalia Sheinbaum, Daniel Stehouwer, Luuk |
| author_facet | Camarena, Omar Antolín Debray, Arun Krulewski, Cameron Pacheco-Tallaj, Natalia Sheinbaum, Daniel Stehouwer, Luuk |
| contents | We investigate the stability of weak symmetry-protected topological phases (SPTs) in the presence of short-range interactions, focusing on the tenfold way classification. Using Atiyah's Real $\mathit{KR}$-theory and Anderson-dualized bordism, we classify free and interacting weak phases across all Altland-Zirnbauer symmetry classes in low dimensions. Extending the free-to-interacting map of Freed-Hopkins, we mathematically compute how the behavior of free weak SPTs changes when interactions are introduced as well as predict intrinsically-interacting weak phases in certain classes. Our mathematical techniques involve T-duality and the James splitting of the torus. Our results provide a mathematical framework for understanding the persistence of weak SPTs under interactions, with potential implications for experimental and theoretical studies of these phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10031 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak topological phases in the presence of interactions Camarena, Omar Antolín Debray, Arun Krulewski, Cameron Pacheco-Tallaj, Natalia Sheinbaum, Daniel Stehouwer, Luuk Mathematical Physics Strongly Correlated Electrons High Energy Physics - Theory We investigate the stability of weak symmetry-protected topological phases (SPTs) in the presence of short-range interactions, focusing on the tenfold way classification. Using Atiyah's Real $\mathit{KR}$-theory and Anderson-dualized bordism, we classify free and interacting weak phases across all Altland-Zirnbauer symmetry classes in low dimensions. Extending the free-to-interacting map of Freed-Hopkins, we mathematically compute how the behavior of free weak SPTs changes when interactions are introduced as well as predict intrinsically-interacting weak phases in certain classes. Our mathematical techniques involve T-duality and the James splitting of the torus. Our results provide a mathematical framework for understanding the persistence of weak SPTs under interactions, with potential implications for experimental and theoretical studies of these phases. |
| title | Weak topological phases in the presence of interactions |
| topic | Mathematical Physics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.10031 |