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Topological Basis Realization Associated with Spin-1 Non-Hermitian XXZ Model

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Abstract

We investigate the spin-1 topological basis realization of a non-Hermitian Heisenberg XXZ chain model. For the non-Hermitian case, the Hamiltonian and the topological ground states of the system are constructed by Birman-Murakami-Wenzl algebra. The results show that all the spin singlet states belong to the topological ground states. The topological subspace and the spin singlet subspace are equivalent. The topological basis can reduce Birman-Murakami-Wenzl algebra generators, and the reduced matrices satisfy reduced Birman-Murakami-Wenzl algebra relations.

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Acknowledgments

The work is supported by NSF of Jilin Province of China (Grant Nos. JJKH20190279KJ and JJKH20190276KJ) and the Fundamental Research Funds for the Central Universities (Grant No. 2412019FZ040).

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  1. School of Physics, Northeast Normal University, Changchun, 130024, China

    Yueqi Liu, Gangcheng Wang, Chunfang Sun & Kang Xue

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  1. Yueqi Liu
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  2. Gangcheng Wang
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  3. Chunfang Sun
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  4. Kang Xue
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Correspondence to Gangcheng Wang.

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Liu, Y., Wang, G., Sun, C. et al. Topological Basis Realization Associated with Spin-1 Non-Hermitian XXZ Model. Int J Theor Phys 59, 2589–2598 (2020). https://doi.org/10.1007/s10773-020-04528-8

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  • DOI: https://doi.org/10.1007/s10773-020-04528-8

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