Lattice models with subsystem/weak non-invertible symmetry-protected topological order
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909994918608896 |
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| author | Furukawa, Yuki |
| author_facet | Furukawa, Yuki |
| contents | We construct a family of lattice models which possess subsystem non-invertible symmetry-protected topological (SPT) order and analyze their interface modes protected by the symmetry, whose codimension turns out to be more than one. We also propose 2+1d lattice models which belong to two different weak SPT phases distinguished by a combination of translational symmetry and non-invertible symmetry. We show that the interface between them exhibits an exotic Lieb-Schultz-Mattis (LSM) anomaly associated with a modulated symmetry, which cannot be factorized into a direct product of internal and translational symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11419 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lattice models with subsystem/weak non-invertible symmetry-protected topological order Furukawa, Yuki Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics We construct a family of lattice models which possess subsystem non-invertible symmetry-protected topological (SPT) order and analyze their interface modes protected by the symmetry, whose codimension turns out to be more than one. We also propose 2+1d lattice models which belong to two different weak SPT phases distinguished by a combination of translational symmetry and non-invertible symmetry. We show that the interface between them exhibits an exotic Lieb-Schultz-Mattis (LSM) anomaly associated with a modulated symmetry, which cannot be factorized into a direct product of internal and translational symmetries. |
| title | Lattice models with subsystem/weak non-invertible symmetry-protected topological order |
| topic | Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2505.11419 |