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Yangian and Topological Basis Expressions of Two Types of XXZ Spin Chains

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Abstract

We construct a set of orthogonal topological basis states, based on which Temperley-Lieb algebra (TLA) generators Uij can be reduced into four subspaces. According to the relations between the XXZ model and TLA generators Uij, two types of eigenstates of the XXZ model can be expressed by a topological basis. We also analyze the Yangian realizations of XXZ model systems and illustrate them with figures.

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Acknowledgments

This work was supported in part by NSF of China (Grant Nos. 11647054, 11505017, and 11575042), Innovation Fund of CUST(Grant Nos. 000920(XJJLG-2016-09) and 000564 (XJJLG-2014-04)), and Research Program of the Education Department of Jilin Province (No. JJKH20181108KJ).

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Authors and Affiliations

  1. School of Science, Changchun University of Science and Technology, Changchun, 130022, People’s Republic of China

    Guijiao Du & Chengcheng Zhou

  2. Department of Physics, Northeast Normal University, Changchun, Jilin 130024, People’s Republic of China

    Kang Xue

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  1. Guijiao Du
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  2. Kang Xue
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  3. Chengcheng Zhou
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Correspondence to Guijiao Du.

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Du, G., Xue, K. & Zhou, C. Yangian and Topological Basis Expressions of Two Types of XXZ Spin Chains. Int J Theor Phys 58, 2167–2183 (2019). https://doi.org/10.1007/s10773-019-04107-6

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  • DOI: https://doi.org/10.1007/s10773-019-04107-6

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