Exact spin helix eigenstates in the anisotropic spin-$s$ Heisenberg model with arbitrary dimensions
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908460040323072 |
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| author | Zheng, Mingchen Liang, Chenguang Chen, Shu Zhang, Xin |
| author_facet | Zheng, Mingchen Liang, Chenguang Chen, Shu Zhang, Xin |
| contents | Spin helix states-characterized by their spatially modulated spin textures-are exact eigenstates of the one-dimensional anisotropic spin-$\frac{1}{2}$ Heisenberg model under specific parameter conditions. In this work, we extend this framework by constructing exact spin helix eigenstates for the fully anisotropic XYZ Heisenberg model with arbitrary spatial dimensions and arbitrary spin quantum numbers. Our results demonstrate that some non-trivial exact eigenstates can persist beyond the integrable regime. The XXZ and XY cases are also analyzed to clarify the conditions for the emergence of spin helix eigenstates and their key properties. Our results broaden the class of analytically tractable exact eigenstates in non-integrable systems and deepen understanding of spin modulation states in many-body systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14994 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact spin helix eigenstates in the anisotropic spin-$s$ Heisenberg model with arbitrary dimensions Zheng, Mingchen Liang, Chenguang Chen, Shu Zhang, Xin Mathematical Physics Strongly Correlated Electrons Spin helix states-characterized by their spatially modulated spin textures-are exact eigenstates of the one-dimensional anisotropic spin-$\frac{1}{2}$ Heisenberg model under specific parameter conditions. In this work, we extend this framework by constructing exact spin helix eigenstates for the fully anisotropic XYZ Heisenberg model with arbitrary spatial dimensions and arbitrary spin quantum numbers. Our results demonstrate that some non-trivial exact eigenstates can persist beyond the integrable regime. The XXZ and XY cases are also analyzed to clarify the conditions for the emergence of spin helix eigenstates and their key properties. Our results broaden the class of analytically tractable exact eigenstates in non-integrable systems and deepen understanding of spin modulation states in many-body systems. |
| title | Exact spin helix eigenstates in the anisotropic spin-$s$ Heisenberg model with arbitrary dimensions |
| topic | Mathematical Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2505.14994 |