Integrable spin-1 model with magnetic impurity
We propose an integrable spin-1 chain with a magnetic impurity whose spin is 1/2. The integrability of the model is based on an operator solution of the associated reflection equation. Due to the existence of the impurity, the SU(3) symmetry of the bulk is broken. By using the nested algebraic Bethe...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.023157 |
| _version_ | 1827285808535568384 |
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| author | Jian Wang Yusong Cao Yi Qiao Junpeng Cao Wen-Li Yang |
| author_facet | Jian Wang Yusong Cao Yi Qiao Junpeng Cao Wen-Li Yang |
| author_sort | Jian Wang |
| collection | DOAJ |
| description | We propose an integrable spin-1 chain with a magnetic impurity whose spin is 1/2. The integrability of the model is based on an operator solution of the associated reflection equation. Due to the existence of the impurity, the SU(3) symmetry of the bulk is broken. By using the nested algebraic Bethe ansatz, we obtain the exact solution of the system. The eigenvalues, eigenstates, and Bethe ansatz equations are given explicitly. The method provided in this paper can be generalized to other high-rank quantum integrable systems with magnetic impurities where the spins of the bulk and of impurities are different. |
| first_indexed | 2024-04-24T10:19:47Z |
| format | Article |
| id | doaj.art-bdab2d729f3947438ea19f0881f3db02 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:19:47Z |
| publishDate | 2021-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-bdab2d729f3947438ea19f0881f3db022024-04-12T17:10:16ZengAmerican Physical SocietyPhysical Review Research2643-15642021-05-013202315710.1103/PhysRevResearch.3.023157Integrable spin-1 model with magnetic impurityJian WangYusong CaoYi QiaoJunpeng CaoWen-Li YangWe propose an integrable spin-1 chain with a magnetic impurity whose spin is 1/2. The integrability of the model is based on an operator solution of the associated reflection equation. Due to the existence of the impurity, the SU(3) symmetry of the bulk is broken. By using the nested algebraic Bethe ansatz, we obtain the exact solution of the system. The eigenvalues, eigenstates, and Bethe ansatz equations are given explicitly. The method provided in this paper can be generalized to other high-rank quantum integrable systems with magnetic impurities where the spins of the bulk and of impurities are different.http://doi.org/10.1103/PhysRevResearch.3.023157 |
| spellingShingle | Jian Wang Yusong Cao Yi Qiao Junpeng Cao Wen-Li Yang Integrable spin-1 model with magnetic impurity Physical Review Research |
| title | Integrable spin-1 model with magnetic impurity |
| title_full | Integrable spin-1 model with magnetic impurity |
| title_fullStr | Integrable spin-1 model with magnetic impurity |
| title_full_unstemmed | Integrable spin-1 model with magnetic impurity |
| title_short | Integrable spin-1 model with magnetic impurity |
| title_sort | integrable spin 1 model with magnetic impurity |
| url | http://doi.org/10.1103/PhysRevResearch.3.023157 |
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