| Autor: |
Bachmann, Sven, Corbelli, Matthew, Fraas, Martin, Ogata, Yoshiko |
| Rok vydání: |
2024 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
In this study, we examine the quantization of Hall conductance in an infinite plane geometry. We consider a charge-conserving system with a pure, gapped infinite-volume ground state. While Hall conductance is well-defined in this scenario, there is no existing proof of its quantization. Assuming that the conditions necessary to construct the braided $C^*$-tensor category which describes anyonic excitations are satisfied, we demonstrate that the Hall conductance is rational under the assumption that the tensor category is finite. |
| Databáze: |
arXiv |
| Externí odkaz: |
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