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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.08708 |
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| _version_ | 1866911026933399552 |
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| author | Coleman, Piers Kuklov, Anatoly Tsvelik, Alexei |
| author_facet | Coleman, Piers Kuklov, Anatoly Tsvelik, Alexei |
| contents | The $Z_2$ gauged neutral XY model is of long-standing interest both in the context of nematic order, and the study of fractionalization and superconductivity. This paper presents heuristic arguments that no deconfinement of the XY field occurs in this model and presents results of a large-scale Monte Carlo simulations on a cubic lattice which are consistent with this conclusion. The correlation radius determining the confinement is found to be growing rapidly as a function of the parameters in the phase featuring the nematic order. Thus, mesoscopic properties of the system can mimic deconfinement with high accuracy in some part of the phase diagram. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_08708 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dual view of the Z$_2$-Gauged XY Model in 3D Coleman, Piers Kuklov, Anatoly Tsvelik, Alexei Superconductivity High Energy Physics - Theory The $Z_2$ gauged neutral XY model is of long-standing interest both in the context of nematic order, and the study of fractionalization and superconductivity. This paper presents heuristic arguments that no deconfinement of the XY field occurs in this model and presents results of a large-scale Monte Carlo simulations on a cubic lattice which are consistent with this conclusion. The correlation radius determining the confinement is found to be growing rapidly as a function of the parameters in the phase featuring the nematic order. Thus, mesoscopic properties of the system can mimic deconfinement with high accuracy in some part of the phase diagram. |
| title | Dual view of the Z$_2$-Gauged XY Model in 3D |
| topic | Superconductivity High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.08708 |