Alteration of Topology in Quantum Phase Transitions via Symmetry Enrichment
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911053168771072 |
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| author | Rein, Gabriel Raczkowski, Marcin Wang, Zhenjiu Sato, Toshihiro Assaad, Fakher F. |
| author_facet | Rein, Gabriel Raczkowski, Marcin Wang, Zhenjiu Sato, Toshihiro Assaad, Fakher F. |
| contents | Topology plays a cardinal role in explaining phases and quantum phase transitions beyond the Landau-Ginzburg-Wilson paradigm. In this study, we formulate a set of models of Dirac fermions in 2+1 dimensions with SU($N$)$\times$SU(2)$\times$U(1) symmetry that have the potential to host critical points described by field theories with topological terms. For $N=2$ it shows a rich phase diagram containing semimetallic, quantum spin Hall insulating, Kekulé valence bond solid and s-wave superconducting phases and features multiple Landau-Ginzburg-Wilson phase transitions driven by interaction strength. At $N=1$ a deconfined quantum critical point is observed. At $N=2$ one expects the critical theory to correspond to a level 2 Wess-Zumino-Witten theory in 2+1 dimensions. Here the numerical results however show a strong first order transition. Another transition can be governed by a topological $θ$-term which is rendered irrelevant for even values of $N$ thus leading to Landau-Ginzburg-Wilson behaviour. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05059 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Alteration of Topology in Quantum Phase Transitions via Symmetry Enrichment Rein, Gabriel Raczkowski, Marcin Wang, Zhenjiu Sato, Toshihiro Assaad, Fakher F. Strongly Correlated Electrons Topology plays a cardinal role in explaining phases and quantum phase transitions beyond the Landau-Ginzburg-Wilson paradigm. In this study, we formulate a set of models of Dirac fermions in 2+1 dimensions with SU($N$)$\times$SU(2)$\times$U(1) symmetry that have the potential to host critical points described by field theories with topological terms. For $N=2$ it shows a rich phase diagram containing semimetallic, quantum spin Hall insulating, Kekulé valence bond solid and s-wave superconducting phases and features multiple Landau-Ginzburg-Wilson phase transitions driven by interaction strength. At $N=1$ a deconfined quantum critical point is observed. At $N=2$ one expects the critical theory to correspond to a level 2 Wess-Zumino-Witten theory in 2+1 dimensions. Here the numerical results however show a strong first order transition. Another transition can be governed by a topological $θ$-term which is rendered irrelevant for even values of $N$ thus leading to Landau-Ginzburg-Wilson behaviour. |
| title | Alteration of Topology in Quantum Phase Transitions via Symmetry Enrichment |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2410.05059 |