Topological and Trivial Valence-Bond Orders in Higher-Spin Kitaev Models
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917071386836992 |
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| author | Zhang, Xing-Yu Yang, Qi Corboz, Philippe Haegeman, Jutho He, Yuchi |
| author_facet | Zhang, Xing-Yu Yang, Qi Corboz, Philippe Haegeman, Jutho He, Yuchi |
| contents | We investigate the quantum phases of higher-spin Kitaev models using tensor network methods. Our results reveal distinct bond-ordered phases for spin-1, spin-$\tfrac{3}{2}$, and spin-2 models. In all cases, we find translational symmetry breaking with unit cells being tripled by forming valence-bond orders. However, these three phases are distinct, forming plaquette order, topological dimer order, and non-topological dimer order, respectively. Our findings are based on a cross-validation between variational two-dimensional tensor network calculations: an unrestricted exploration of symmetry-broken states versus the detection of symmetry breaking from cat-state behavior in symmetry-restricted states. The origin of different orders can also be understood from a theoretical analysis. Our work sheds light upon the interplay between topological and symmetry-breaking orders as well as their detection via tensor networks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07415 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological and Trivial Valence-Bond Orders in Higher-Spin Kitaev Models Zhang, Xing-Yu Yang, Qi Corboz, Philippe Haegeman, Jutho He, Yuchi Strongly Correlated Electrons We investigate the quantum phases of higher-spin Kitaev models using tensor network methods. Our results reveal distinct bond-ordered phases for spin-1, spin-$\tfrac{3}{2}$, and spin-2 models. In all cases, we find translational symmetry breaking with unit cells being tripled by forming valence-bond orders. However, these three phases are distinct, forming plaquette order, topological dimer order, and non-topological dimer order, respectively. Our findings are based on a cross-validation between variational two-dimensional tensor network calculations: an unrestricted exploration of symmetry-broken states versus the detection of symmetry breaking from cat-state behavior in symmetry-restricted states. The origin of different orders can also be understood from a theoretical analysis. Our work sheds light upon the interplay between topological and symmetry-breaking orders as well as their detection via tensor networks. |
| title | Topological and Trivial Valence-Bond Orders in Higher-Spin Kitaev Models |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2511.07415 |