T−W relation and spectrum of supersymmetric t−J model without U(1) symmetry
We propose a novel characterization of the exact solution of the one-dimensional supersymmetric t−Jmodel with generic non-diagonal boundary conditions. Instead of using Bethe roots, we parameterize the eigenvalues of transfer matrix in the spin sector with their zero-roots. By constructing the t−Wre...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-10-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721007944 |
| _version_ | 1819147722792370176 |
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| author | Yifei Yi Jian Wang Yi Qiao Junpeng Cao Wen-Li Yang |
| author_facet | Yifei Yi Jian Wang Yi Qiao Junpeng Cao Wen-Li Yang |
| author_sort | Yifei Yi |
| collection | DOAJ |
| description | We propose a novel characterization of the exact solution of the one-dimensional supersymmetric t−Jmodel with generic non-diagonal boundary conditions. Instead of using Bethe roots, we parameterize the eigenvalues of transfer matrix in the spin sector with their zero-roots. By constructing the t−Wrelation, we obtain the explicit forms of the eigenvalues of the system and the homogeneous Bethe ansatz equations. This scheme is universal and can be applied to other quantum integrable systems with or without U(1)symmetry. |
| first_indexed | 2024-12-22T13:34:20Z |
| format | Article |
| id | doaj.art-aaacaaf447a84b5e95a38999b4881de8 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-22T13:34:20Z |
| publishDate | 2021-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-aaacaaf447a84b5e95a38999b4881de82022-12-21T18:24:06ZengElsevierResults in Physics2211-37972021-10-0129104721T−W relation and spectrum of supersymmetric t−J model without U(1) symmetryYifei Yi0Jian Wang1Yi Qiao2Junpeng Cao3Wen-Li Yang4Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, ChinaBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, ChinaBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, ChinaBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China; Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, China; Peng Huanwu Center for Fundamental Theory, Xian 710127, China; Corresponding author at: Institute of Physics, Chinese Academy of Sciences, No. 8, Nansan Street, Haidian District, Beijing, China.Peng Huanwu Center for Fundamental Theory, Xian 710127, China; Institute of Modern Physics, Northwest University, Xian 710127, China; Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xian 710127, China; School of Physics, Northwest University, Xian 710127, China; Corresponding author at: School of Physics, Northwest University, No. 1, Xuefu Avenue, Chang’an District, Xi’an, China.We propose a novel characterization of the exact solution of the one-dimensional supersymmetric t−Jmodel with generic non-diagonal boundary conditions. Instead of using Bethe roots, we parameterize the eigenvalues of transfer matrix in the spin sector with their zero-roots. By constructing the t−Wrelation, we obtain the explicit forms of the eigenvalues of the system and the homogeneous Bethe ansatz equations. This scheme is universal and can be applied to other quantum integrable systems with or without U(1)symmetry.http://www.sciencedirect.com/science/article/pii/S2211379721007944Bethe ansatzLattice integrable modelsT – Q relation |
| spellingShingle | Yifei Yi Jian Wang Yi Qiao Junpeng Cao Wen-Li Yang T−W relation and spectrum of supersymmetric t−J model without U(1) symmetry Results in Physics Bethe ansatz Lattice integrable models T – Q relation |
| title | T−W relation and spectrum of supersymmetric t−J model without U(1) symmetry |
| title_full | T−W relation and spectrum of supersymmetric t−J model without U(1) symmetry |
| title_fullStr | T−W relation and spectrum of supersymmetric t−J model without U(1) symmetry |
| title_full_unstemmed | T−W relation and spectrum of supersymmetric t−J model without U(1) symmetry |
| title_short | T−W relation and spectrum of supersymmetric t−J model without U(1) symmetry |
| title_sort | t w relation and spectrum of supersymmetric t j model without u 1 symmetry |
| topic | Bethe ansatz Lattice integrable models T – Q relation |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721007944 |
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