Immobile and mobile excitations of three-spin interactions on the diamond chain
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917407837126656 |
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| author | Bayer, M. Vieweg, M. Schmidt, K. P. |
| author_facet | Bayer, M. Vieweg, M. Schmidt, K. P. |
| contents | We present a solvable one-dimensional spin-1/2 model on the diamond chain featuring three-spin interactions, which displays both, mobile excitations driving a second-order phase transition between an ordered and a $\mathbb{Z}_2$-symmetry broken phase, as well as non-trivial fully immobile excitations. The model is motivated by the physics of fracton excitations, which only possess mobility in a reduced dimension compared to the full model. We provide an exact mapping of this model to an arbitrary number of independent transverse-field Ising chain segments with open boundary conditions. The number and lengths of these segments correspond directly to the number of immobile excitations and their respective distances from one another. Furthermore, we demonstrate that multiple immobile excitations exhibit Casimir-like forces between them, resulting in a non-trivial spectrum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25349 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Immobile and mobile excitations of three-spin interactions on the diamond chain Bayer, M. Vieweg, M. Schmidt, K. P. Strongly Correlated Electrons Quantum Physics We present a solvable one-dimensional spin-1/2 model on the diamond chain featuring three-spin interactions, which displays both, mobile excitations driving a second-order phase transition between an ordered and a $\mathbb{Z}_2$-symmetry broken phase, as well as non-trivial fully immobile excitations. The model is motivated by the physics of fracton excitations, which only possess mobility in a reduced dimension compared to the full model. We provide an exact mapping of this model to an arbitrary number of independent transverse-field Ising chain segments with open boundary conditions. The number and lengths of these segments correspond directly to the number of immobile excitations and their respective distances from one another. Furthermore, we demonstrate that multiple immobile excitations exhibit Casimir-like forces between them, resulting in a non-trivial spectrum. |
| title | Immobile and mobile excitations of three-spin interactions on the diamond chain |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2510.25349 |