Parafermionic and decoupled multicritical points in a frustrated $\mathbb{Z}_6$ clock chain
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909013133754368 |
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| author | Dagnino, Andrea Kouta Szabó, Attila |
| author_facet | Dagnino, Andrea Kouta Szabó, Attila |
| contents | We introduce a generalised six-state clock chain that interpolates between the clock and Potts models via a multicritical point described by decoupled Ising and three-state Potts models. We find that this decoupling extends into stable phases that break only $\mathbb{Z}_2$ or $\mathbb{Z}_3$ symmetry. We also use boundary CFT analysis and level spectroscopy to conclusively identify a $\mathbb{Z}_6$ parafermion multicritical point terminating the clock model Luttinger-liquid phase. Our work shows that parafermions emerge far from integrability, even in systems with intertwined Ising and three-state Potts orders. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03001 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Parafermionic and decoupled multicritical points in a frustrated $\mathbb{Z}_6$ clock chain Dagnino, Andrea Kouta Szabó, Attila Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory We introduce a generalised six-state clock chain that interpolates between the clock and Potts models via a multicritical point described by decoupled Ising and three-state Potts models. We find that this decoupling extends into stable phases that break only $\mathbb{Z}_2$ or $\mathbb{Z}_3$ symmetry. We also use boundary CFT analysis and level spectroscopy to conclusively identify a $\mathbb{Z}_6$ parafermion multicritical point terminating the clock model Luttinger-liquid phase. Our work shows that parafermions emerge far from integrability, even in systems with intertwined Ising and three-state Potts orders. |
| title | Parafermionic and decoupled multicritical points in a frustrated $\mathbb{Z}_6$ clock chain |
| topic | Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.03001 |