On the relation between fractional charge and statistics
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866912792263524352 |
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| author | Hansson, T. H. Arouca, Rodrigo Kvorning, Thomas Klein |
| author_facet | Hansson, T. H. Arouca, Rodrigo Kvorning, Thomas Klein |
| contents | We revisit an argument, originally given by Kivelson and Roček, for why the existence of fractional charge necessarily implies fractional statistics. In doing so, we resolve a contradiction in the original argument, and in the case of a $ν= 1/m$ Laughlin holes, we also show that the standard relation between fractional charge and statistics is necessary by an argument based on a t'Hooft anomaly in a global one-form ${\mathcal Z}_m$ symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15857 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the relation between fractional charge and statistics Hansson, T. H. Arouca, Rodrigo Kvorning, Thomas Klein Strongly Correlated Electrons Mesoscale and Nanoscale Physics Other Condensed Matter High Energy Physics - Theory We revisit an argument, originally given by Kivelson and Roček, for why the existence of fractional charge necessarily implies fractional statistics. In doing so, we resolve a contradiction in the original argument, and in the case of a $ν= 1/m$ Laughlin holes, we also show that the standard relation between fractional charge and statistics is necessary by an argument based on a t'Hooft anomaly in a global one-form ${\mathcal Z}_m$ symmetry. |
| title | On the relation between fractional charge and statistics |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Other Condensed Matter High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.15857 |