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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2406.19713 |
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| _version_ | 1866916448383795200 |
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| author | Ritz-Zwilling, Anna Fuchs, Jean-Noël Simon, Steven H. Vidal, Julien |
| author_facet | Ritz-Zwilling, Anna Fuchs, Jean-Noël Simon, Steven H. Vidal, Julien |
| contents | We consider a refined version of the string-net model which assigns a different energy cost to each plaquette excitation. Using recent exact calculations of the energy-level degeneracies we compute the partition function of this model and investigate several thermodynamical quantities. In the thermodynamic limit, we show that the partition function is dominated by the contribution of special particles, dubbed pure fluxons, which trivially braid with all other (product of) fluxons. We also analyze the behavior of Wegner-Wilson loops associated to excitations and show that they obey an area law, indicating confinement, for any finite temperature except for pure fluxons that always remain deconfined. Finally, using a recently proposed conjecture, we compute the topological mutual information at finite temperature, which features a nontrivial scaling between system size and temperature, similar to the one-dimensional classical Ising model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19713 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite-temperature properties of string-net models Ritz-Zwilling, Anna Fuchs, Jean-Noël Simon, Steven H. Vidal, Julien Other Condensed Matter High Energy Physics - Theory Quantum Physics We consider a refined version of the string-net model which assigns a different energy cost to each plaquette excitation. Using recent exact calculations of the energy-level degeneracies we compute the partition function of this model and investigate several thermodynamical quantities. In the thermodynamic limit, we show that the partition function is dominated by the contribution of special particles, dubbed pure fluxons, which trivially braid with all other (product of) fluxons. We also analyze the behavior of Wegner-Wilson loops associated to excitations and show that they obey an area law, indicating confinement, for any finite temperature except for pure fluxons that always remain deconfined. Finally, using a recently proposed conjecture, we compute the topological mutual information at finite temperature, which features a nontrivial scaling between system size and temperature, similar to the one-dimensional classical Ising model. |
| title | Finite-temperature properties of string-net models |
| topic | Other Condensed Matter High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2406.19713 |