Ordering the topological order in the fractional quantum Hall effect
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911485208297472 |
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| author | Cheng, Meng Musser, Seth Raz, Amir Seiberg, Nathan Senthil, T. |
| author_facet | Cheng, Meng Musser, Seth Raz, Amir Seiberg, Nathan Senthil, T. |
| contents | We discuss the possible topological order/topological quantum field theory of different quantum Hall systems. Given the value of the Hall conductivity, we constrain the global symmetry of the low-energy theory and its anomaly. Specifically, the one-form global symmetry and its anomaly are presented as the organizing principle of these systems. This information is powerful enough to lead to a unique minimal topological order (or a small number of minimal topological orders). Almost all of the known experimentally discovered topological orders are these minimal theories. Since this work is interdisciplinary, we made a special effort to relate to researchers with different backgrounds by providing translations between different perspectives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14767 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ordering the topological order in the fractional quantum Hall effect Cheng, Meng Musser, Seth Raz, Amir Seiberg, Nathan Senthil, T. Strongly Correlated Electrons Mesoscale and Nanoscale Physics High Energy Physics - Theory We discuss the possible topological order/topological quantum field theory of different quantum Hall systems. Given the value of the Hall conductivity, we constrain the global symmetry of the low-energy theory and its anomaly. Specifically, the one-form global symmetry and its anomaly are presented as the organizing principle of these systems. This information is powerful enough to lead to a unique minimal topological order (or a small number of minimal topological orders). Almost all of the known experimentally discovered topological orders are these minimal theories. Since this work is interdisciplinary, we made a special effort to relate to researchers with different backgrounds by providing translations between different perspectives. |
| title | Ordering the topological order in the fractional quantum Hall effect |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.14767 |