Exact surface energy and elementary excitations of the XXX spin-1/2 chain with arbitrary non-diagonal boundary fields

doi:10.1088/1674-1056/ac981f

中国物理B ›› 2023, Vol. 32 ›› Issue (1): 17501-017501.doi: 10.1088/1674-1056/ac981f

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

收稿日期:2022-07-12 修回日期:2022-10-02 接受日期:2022-10-07 出版日期:2022-12-08 发布日期:2022-12-08
通讯作者: Pei Sun E-mail:sunpei@nwu.edu.cn
基金资助:
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.

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

Received:2022-07-12 Revised:2022-10-02 Accepted:2022-10-07 Online:2022-12-08 Published:2022-12-08
Contact: Pei Sun E-mail:sunpei@nwu.edu.cn
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: quantum spin chain, integrable systems, Bethe ansatz

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.

Key words: quantum spin chain, integrable systems, Bethe ansatz

中图分类号: (Spin chain models)

75.10.Pq

03.65.Vf (Phases: geometric; dynamic or topological) 71.10.Pm (Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))

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[J]. 中国物理B, 2023, 32(1): 17501-017501.

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Exact surface energy and elementary excitations of the XXX spin-1/2 chain with arbitrary non-diagonal boundary fields

Exact surface energy and elementary excitations of the XXX spin-1/2 chain with arbitrary non-diagonal boundary fields

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