Deconfined quantum criticality in a frustrated Haldane chain with single-ion anisotropy
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916816593354752 |
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| author | Pronk, Niels T. La Rivière, Bowy M. Chepiga, Natalia |
| author_facet | Pronk, Niels T. La Rivière, Bowy M. Chepiga, Natalia |
| contents | We report a phase diagram of the antiferromagnetic spin-1 chain with nearest-neighbor Heisenberg and three-site interactions in the presence of single-ion anisotropy. We show that the Gaussian and Ising transitions that separate the topological Haldane phase from the two anisotropic phases eventually fuse into a higher symmetry point characterized by the Wess-Zumino-Witten (WZW) SU(2)$_2$ critical theory providing a lattice realization of the conformal embedding. On the other side of the WZW multi-critical point, the Ising critical line reappears together with the eight-vertex transition. This transition is a one-dimensional realization of a deconfined quantum criticality separating the dimerized and Ising antiferromagnetic phases - two ordered phases with incompatible order parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11413 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deconfined quantum criticality in a frustrated Haldane chain with single-ion anisotropy Pronk, Niels T. La Rivière, Bowy M. Chepiga, Natalia Strongly Correlated Electrons We report a phase diagram of the antiferromagnetic spin-1 chain with nearest-neighbor Heisenberg and three-site interactions in the presence of single-ion anisotropy. We show that the Gaussian and Ising transitions that separate the topological Haldane phase from the two anisotropic phases eventually fuse into a higher symmetry point characterized by the Wess-Zumino-Witten (WZW) SU(2)$_2$ critical theory providing a lattice realization of the conformal embedding. On the other side of the WZW multi-critical point, the Ising critical line reappears together with the eight-vertex transition. This transition is a one-dimensional realization of a deconfined quantum criticality separating the dimerized and Ising antiferromagnetic phases - two ordered phases with incompatible order parameters. |
| title | Deconfined quantum criticality in a frustrated Haldane chain with single-ion anisotropy |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2503.11413 |