T-W relation and free energy of the antiperiodic XXZ chain with η=iπ/3 at a finite temperature
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916442328268800 |
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| author | Lu, Pengcheng Cao, Junpeng Yang, Wen-Li Marquette, Ian Zhang, Yao-Zhong |
| author_facet | Lu, Pengcheng Cao, Junpeng Yang, Wen-Li Marquette, Ian Zhang, Yao-Zhong |
| contents | We study the thermodynamics of the antiperiodic XXZ chain with anisotropy parameter η=iπ/3 by means of the t-W method. We parameterize the eigenvalues of both the transfer matrix and the corresponding fused transfer matrix by their zero points instead of Bethe roots. Based on the patterns of the zero points distribution and the reconstructed entropy, we obtain the nonlinear integral equations (NLIEs) describing the thermodynamics of the model and compute its free energy at a finite temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04849 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | T-W relation and free energy of the antiperiodic XXZ chain with η=iπ/3 at a finite temperature Lu, Pengcheng Cao, Junpeng Yang, Wen-Li Marquette, Ian Zhang, Yao-Zhong Statistical Mechanics High Energy Physics - Theory Mathematical Physics We study the thermodynamics of the antiperiodic XXZ chain with anisotropy parameter η=iπ/3 by means of the t-W method. We parameterize the eigenvalues of both the transfer matrix and the corresponding fused transfer matrix by their zero points instead of Bethe roots. Based on the patterns of the zero points distribution and the reconstructed entropy, we obtain the nonlinear integral equations (NLIEs) describing the thermodynamics of the model and compute its free energy at a finite temperature. |
| title | T-W relation and free energy of the antiperiodic XXZ chain with η=iπ/3 at a finite temperature |
| topic | Statistical Mechanics High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2402.04849 |