Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields
Abstract We study the thermodynamic limit of the anisotropic XYZ spin chain with non-diagonal integrable open boundary conditions. Although the U(1)-symmetry is broken, by using the new parametrization scheme, we exactly obtain the surface energy and the excitation energy of the system, which has so...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)090 |
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| _version_ | 1846137472157745152 |
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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 We study the thermodynamic limit of the anisotropic XYZ spin chain with non-diagonal integrable open boundary conditions. Although the U(1)-symmetry is broken, by using the new parametrization scheme, we exactly obtain the surface energy and the excitation energy of the system, which has solved the difficulty in the inhomogeneous T − Q relation. With the boundary parameters in the regions making the Hamiltonian Hermitian, we have obtained the distribution patterns of the zeros of the eigenvalue of the transfer matrix for the ground state and the excited ones. We find that the surface and excitation energies depend on the parities of sites number N, due to the long-range Neel order in the bulk. The easy-axis and thermodynamic limit for all the regions of boundary parameters are studied. We also obtain the physical quantities in the thermodynamic limit of boundary XXZ model by taking the trigonometric limit. |
| format | Article |
| id | doaj-art-fa10b5a39d23438691b14c50c3b722d2 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-fa10b5a39d23438691b14c50c3b722d22024-12-08T12:11:09ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241013910.1007/JHEP10(2024)090Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fieldsZhirong 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 We study the thermodynamic limit of the anisotropic XYZ spin chain with non-diagonal integrable open boundary conditions. Although the U(1)-symmetry is broken, by using the new parametrization scheme, we exactly obtain the surface energy and the excitation energy of the system, which has solved the difficulty in the inhomogeneous T − Q relation. With the boundary parameters in the regions making the Hamiltonian Hermitian, we have obtained the distribution patterns of the zeros of the eigenvalue of the transfer matrix for the ground state and the excited ones. We find that the surface and excitation energies depend on the parities of sites number N, due to the long-range Neel order in the bulk. The easy-axis and thermodynamic limit for all the regions of boundary parameters are studied. We also obtain the physical quantities in the thermodynamic limit of boundary XXZ model by taking the trigonometric limit.https://doi.org/10.1007/JHEP10(2024)090Bethe AnsatzLattice Integrable Models |
| spellingShingle | Zhirong Xin Junpeng Cao Wen-Li Yang Yupeng Wang Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields Journal of High Energy Physics Bethe Ansatz Lattice Integrable Models |
| title | Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields |
| title_full | Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields |
| title_fullStr | Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields |
| title_full_unstemmed | Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields |
| title_short | Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields |
| title_sort | surface energy and elementary excitations of the xyz spin chain with integrable open boundary fields |
| topic | Bethe Ansatz Lattice Integrable Models |
| url | https://doi.org/10.1007/JHEP10(2024)090 |
| work_keys_str_mv | AT zhirongxin surfaceenergyandelementaryexcitationsofthexyzspinchainwithintegrableopenboundaryfields AT junpengcao surfaceenergyandelementaryexcitationsofthexyzspinchainwithintegrableopenboundaryfields AT wenliyang surfaceenergyandelementaryexcitationsofthexyzspinchainwithintegrableopenboundaryfields AT yupengwang surfaceenergyandelementaryexcitationsofthexyzspinchainwithintegrableopenboundaryfields |