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Exact surface energy and elementary excitations of the XXX spin-1/2 chain with arbitrary non-diagonal boundary fields |
| Jia-Sheng Dong(董家生)1, Pengcheng Lu(路鹏程)1,2, Pei Sun(孙佩)3,4,5,†, Yi Qiao(乔艺)2,4,5, Junpeng Cao(曹俊鹏)2,4,6,7, Kun Hao(郝昆)1,4,5, and Wen-Li Yang(杨文力)1,4,5 |
1 Institute of Modern Physics, Northwest University, Xi'an 710127, China;
2 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
3 School of Physics, Northwest University, Xi'an 710127, China;
4 Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China;
5 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China;
6 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
7 Songshan Lake Materials Laboratory, Dongguan 523808, China |
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Abstract We study the physical properties of the XXX spin-1/2 chain with arbitrary non-diagonal boundary fields. By using a combination of numerical analysis and analytical method, we obtain the surface energy and elementary excitations of the model. It shows that the contributions of the two boundary fields to the surface energy are additive. We also find that there exists a kind of excitations related to the boundary string.
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Received: 12 July 2022
Revised: 02 October 2022
Accepted manuscript online: 07 October 2022
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PACS:
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75.10.Pq
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(Spin chain models)
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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71.10.Pm
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(Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))
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| Fund: We would like to thank Professor Y. Wang for his valuable discussions and continuous encouragement. The financial supports from the National Key R&D Program of China (Grant No. 2021YFA1402104), the National Natural Science Foundation of China (Grant Nos. 12074410, 12047502, 12147160, 11934015, 11975183, and 11947301), Major Basic Research Program of Natural Science of Shaanxi Province, China (Grant Nos. 2021JCW-19 and 2017ZDJC-32), Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB33000000), Double First-Class University Construction Project of Northwest University, and the fellowship of China Postdoctoral Science Foundation (Grant Nos. 2020M680724 and 2022M712580) are gratefully acknowledged. |
Corresponding Authors:
Pei Sun
E-mail: sunpei@nwu.edu.cn
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Cite this article:
Jia-Sheng Dong(董家生), Pengcheng Lu(路鹏程), Pei Sun(孙佩), Yi Qiao(乔艺), Junpeng Cao(曹俊鹏), Kun Hao(郝昆), and Wen-Li Yang(杨文力) Exact surface energy and elementary excitations of the XXX spin-1/2 chain with arbitrary non-diagonal boundary fields 2023 Chin. Phys. B 32 017501
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