Exact solutions of the C-n quantum spin chain | |
Li, Guang-Liang1,2; Xue, Panpan1; Sun, Pei3,4; Yang, Hulin1; Xu, Xiaotian2,3,4; Cao, Junpeng2,5,6,7; Yang, Tao2,3,4; Yang, Wen-Li2,3,4,8 | |
刊名 | NUCLEAR PHYSICS B |
2021-04-01 | |
卷号 | 965页码:34 |
ISSN号 | 0550-3213 |
DOI | 10.1016/j.nuclphysb.2021.115333 |
通讯作者 | Xu, Xiaotian(xtxu@nwu.edu.cn) |
英文摘要 | We study the exact solutions of quantum integrable model associated with the C-n Lie algebra, with either a periodic or an open one with off-diagonal boundary reflections, by generalizing the nested off-diagonal Bethe ansatz method. Taking the C-3 as an example we demonstrate how the generalized method works. We give the fusion structures of the model and provide a way to close fusion processes. Based on the resulted operator product identities among fused transfer matrices and some necessary additional constraints such as asymptotic behaviors and relations at some special points, we obtain the eigenvalues of transfer matrices and parameterize them as homogeneous T - Q relations in the periodic case or inhomogeneous ones in the open case. We also give the exact solutions of the C-n model with an off-diagonal open boundary condition. The method and results in this paper can be generalized to other high rank integrable models associated with other Lie algebras. (C) 2021 The Authors. Published by Elsevier B.V. |
资助项目 | MOST[2016 YFA0300600] ; MOST[2016YFA0302104] ; National Natural Science Foundation of China[11934015] ; National Natural Science Foundation of China[11975183] ; National Natural Science Foundation of China[12047502] ; National Natural Science Foundation of China[12075177] ; National Natural Science Foundation of China[12074410] ; National Natural Science Foundation of China[11947301] ; National Natural Science Foundation of China[11774397] ; National Natural Science Foundation of China[11775178] ; National Natural Science Foundation of China[11775177] ; Major Basic Research Program of Natural Science of Shaanxi Province[2017KCT12] ; Major Basic Research Program of Natural Science of Shaanxi Province[2017ZDJC32] ; Australian Research Council[DP 190101529] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB33000000] ; Double FirstClass University Construction Project of Northwest University |
WOS研究方向 | Physics |
语种 | 英语 |
出版者 | ELSEVIER |
WOS记录号 | WOS:000638103300001 |
资助机构 | MOST ; National Natural Science Foundation of China ; Major Basic Research Program of Natural Science of Shaanxi Province ; Australian Research Council ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Double FirstClass University Construction Project of Northwest University |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.186/handle/113462/137625] |
专题 | 中国科学院近代物理研究所 |
通讯作者 | Xu, Xiaotian |
作者单位 | 1.Xi An Jiao Tong Univ, Sch Phys, Xian 710049, Peoples R China 2.Peng Huanwu Ctr Fundamental Theory, Xian 710127, Peoples R China 3.Northwest Univ, Inst Modern Phys, Xian 710127, Peoples R China 4.Shaanxi Key Lab Theoret Phys Frontiers, Xian 710127, Peoples R China 5.Chinese Acad Sci, Beijing Natl Lab Condensed Matter Phys, Inst Phys, Beijing 100190, Peoples R China 6.Univ Chinese Acad Sci, Sch Phys Sci, Beijing, Peoples R China 7.Songshan Lake Mat Lab, Dongguan 523808, Guangdong, Peoples R China 8.Northwest Univ, Sch Phys, Xian 710127, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Guang-Liang,Xue, Panpan,Sun, Pei,et al. Exact solutions of the C-n quantum spin chain[J]. NUCLEAR PHYSICS B,2021,965:34. |
APA | Li, Guang-Liang.,Xue, Panpan.,Sun, Pei.,Yang, Hulin.,Xu, Xiaotian.,...&Yang, Wen-Li.(2021).Exact solutions of the C-n quantum spin chain.NUCLEAR PHYSICS B,965,34. |
MLA | Li, Guang-Liang,et al."Exact solutions of the C-n quantum spin chain".NUCLEAR PHYSICS B 965(2021):34. |
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