Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914481339105280 |
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| author | Bonati, Claudio Vicari, Ettore |
| author_facet | Bonati, Claudio Vicari, Ettore |
| contents | We address issues related to the presence of defects at finite-temperature topological transitions, in particular when defects are modeled in terms of further variables associated with a quenched disorder, corresponding to the limit in which the defect dynamics is very slow. As a paradigmatic model, we consider the classical three-dimensional lattice ${\mathbb Z}_2$ gauge model in the presence of quenched uncorrelated disorder associated with the plaquettes of the lattice, whose topological transitions are characterized by the absence of a local order parameter. We study the critical behaviors in the presence of weak disorder. We show that they belong to a new topological universality class, different from that of the lattice ${\mathbb Z}_2$ gauge models without disorder, in agreement with the Harris criterium for the relevance of uncorrelated quenched disorder when the pure system undergoes a continuous transition with positive specific-heat critical exponent. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_12001 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Finite-temperature topological transitions in the presence of quenched uncorrelated disorder Bonati, Claudio Vicari, Ettore Disordered Systems and Neural Networks Statistical Mechanics High Energy Physics - Lattice We address issues related to the presence of defects at finite-temperature topological transitions, in particular when defects are modeled in terms of further variables associated with a quenched disorder, corresponding to the limit in which the defect dynamics is very slow. As a paradigmatic model, we consider the classical three-dimensional lattice ${\mathbb Z}_2$ gauge model in the presence of quenched uncorrelated disorder associated with the plaquettes of the lattice, whose topological transitions are characterized by the absence of a local order parameter. We study the critical behaviors in the presence of weak disorder. We show that they belong to a new topological universality class, different from that of the lattice ${\mathbb Z}_2$ gauge models without disorder, in agreement with the Harris criterium for the relevance of uncorrelated quenched disorder when the pure system undergoes a continuous transition with positive specific-heat critical exponent. |
| title | Finite-temperature topological transitions in the presence of quenched uncorrelated disorder |
| topic | Disordered Systems and Neural Networks Statistical Mechanics High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2601.12001 |