Exact physical quantities of the XYZ spin chain in the thermodynamic limit
Abstract The thermodynamic limits of the XYZ spin chain with periodic or twisted boundary conditions are studied. By using the technique of characterizing the eigenvalue of the transfer matrix by the T − Q relation and by the zeros of the associated polynomial, we obtain the constraints of the Bethe...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)086 |
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| author | Zhirong Xin Junpeng Cao Wen-Li Yang Yupeng Wang |
| author_facet | Zhirong Xin Junpeng Cao Wen-Li Yang Yupeng Wang |
| author_sort | Zhirong Xin |
| collection | DOAJ |
| description | Abstract The thermodynamic limits of the XYZ spin chain with periodic or twisted boundary conditions are studied. By using the technique of characterizing the eigenvalue of the transfer matrix by the T − Q relation and by the zeros of the associated polynomial, we obtain the constraints of the Bethe roots and the zeros for the eigenvalues. With the help of structure of Bethe roots, we obtain the distribution patterns of zeros. Based on them, the physical quantities such as the surface energy and excitation energy are calculated. We find that both of them depend on the parity of sites number due to the topological long-range Neel order on the Mobius manifold in the spin space. We also check our results with those obtaining by the density matrix renormalization group. The method provided in this paper can be applied to study the thermodynamic properties at the thermal equilibrium state with finite temperature. |
| format | Article |
| id | doaj-art-9e5cd801bf4b48d7bacf5b6d2355c0a8 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-9e5cd801bf4b48d7bacf5b6d2355c0a82025-08-20T03:03:55ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025213010.1007/JHEP02(2025)086Exact physical quantities of the XYZ spin chain in the thermodynamic limitZhirong Xin0Junpeng Cao1Wen-Li Yang2Yupeng Wang3School of Physics and Electronic Information, Baicheng Normal UniversityBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of SciencesPeng Huanwu Center for Fundamental TheoryBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of SciencesAbstract The thermodynamic limits of the XYZ spin chain with periodic or twisted boundary conditions are studied. By using the technique of characterizing the eigenvalue of the transfer matrix by the T − Q relation and by the zeros of the associated polynomial, we obtain the constraints of the Bethe roots and the zeros for the eigenvalues. With the help of structure of Bethe roots, we obtain the distribution patterns of zeros. Based on them, the physical quantities such as the surface energy and excitation energy are calculated. We find that both of them depend on the parity of sites number due to the topological long-range Neel order on the Mobius manifold in the spin space. We also check our results with those obtaining by the density matrix renormalization group. The method provided in this paper can be applied to study the thermodynamic properties at the thermal equilibrium state with finite temperature.https://doi.org/10.1007/JHEP02(2025)086Bethe AnsatzLattice Integrable Models |
| spellingShingle | Zhirong Xin Junpeng Cao Wen-Li Yang Yupeng Wang Exact physical quantities of the XYZ spin chain in the thermodynamic limit Journal of High Energy Physics Bethe Ansatz Lattice Integrable Models |
| title | Exact physical quantities of the XYZ spin chain in the thermodynamic limit |
| title_full | Exact physical quantities of the XYZ spin chain in the thermodynamic limit |
| title_fullStr | Exact physical quantities of the XYZ spin chain in the thermodynamic limit |
| title_full_unstemmed | Exact physical quantities of the XYZ spin chain in the thermodynamic limit |
| title_short | Exact physical quantities of the XYZ spin chain in the thermodynamic limit |
| title_sort | exact physical quantities of the xyz spin chain in the thermodynamic limit |
| topic | Bethe Ansatz Lattice Integrable Models |
| url | https://doi.org/10.1007/JHEP02(2025)086 |
| work_keys_str_mv | AT zhirongxin exactphysicalquantitiesofthexyzspinchaininthethermodynamiclimit AT junpengcao exactphysicalquantitiesofthexyzspinchaininthethermodynamiclimit AT wenliyang exactphysicalquantitiesofthexyzspinchaininthethermodynamiclimit AT yupengwang exactphysicalquantitiesofthexyzspinchaininthethermodynamiclimit |