Gaussian fixed lines of $S=1/2$ XXZ chain with next-nearest neighbor interaction and $sl_2$ loop algebra
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912590430470144 |
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| author | Yomatsu, Daiki Nomura, Kiyohide |
| author_facet | Yomatsu, Daiki Nomura, Kiyohide |
| contents | Spin systems are important to understand various physical properties in quantum many-body systems. We numerically study the Gaussian fixed lines (GFLs) of the $S=1/2$ XXZ chain with next-nearest neighbor (NNN) interaction in the XY phase. The GFLs are the set of points where the coefficient of the umklapp scattering vanishes. We show that the GFLs pass through the ``special points'', which are defined as the points where the $sl_2$ loop algebra symmetry governs in low-energy physics. In addition, we have discussed the Tomonaga-Luttinger parameter K, and the metamagnetism influences the shape of the GFLs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10808 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gaussian fixed lines of $S=1/2$ XXZ chain with next-nearest neighbor interaction and $sl_2$ loop algebra Yomatsu, Daiki Nomura, Kiyohide Statistical Mechanics Quantum Physics Spin systems are important to understand various physical properties in quantum many-body systems. We numerically study the Gaussian fixed lines (GFLs) of the $S=1/2$ XXZ chain with next-nearest neighbor (NNN) interaction in the XY phase. The GFLs are the set of points where the coefficient of the umklapp scattering vanishes. We show that the GFLs pass through the ``special points'', which are defined as the points where the $sl_2$ loop algebra symmetry governs in low-energy physics. In addition, we have discussed the Tomonaga-Luttinger parameter K, and the metamagnetism influences the shape of the GFLs. |
| title | Gaussian fixed lines of $S=1/2$ XXZ chain with next-nearest neighbor interaction and $sl_2$ loop algebra |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2509.10808 |