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Vector Coherent States of Sp(2n,R) Lie algebra for XYZ Antiferromagnetic Heisenberg Model

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Abstract

XYZ antiferromagnetic Heisenberg chains and the one in a magnetic field models under linear spin-wave frame are shown explicitly to possess Su(1,2) and So(3,2) algebraic structures respectively. Their algebra solutions related to Sp(2n,R) Lie algebra are derived. The energy spectra of these two models are determined by one-boson excitation energies, which are built on vector coherent states of Sp(6,R)⊃U(1,2) and Sp(8,R)⊃O(3,2), respectively.

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Acknowledgements

The project supported by National Natural Science Foundation of Beijing under Grant No. 1072010, and the fundamental Research Funds for the central Universities of China with Grant No. YWF-11-03-Q-080.

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Authors and Affiliations

  1. Department of Physics, Beihang University, Beijing, 100191, China

    Shuo Jin

  2. School of Applied Science, Beijing Information Science and Technology University, Beijing, 100192, China

    Bing-Hao Xie & Zhao-Xian Yu

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  1. Shuo Jin
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  2. Bing-Hao Xie
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  3. Zhao-Xian Yu
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Correspondence to Shuo Jin.

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Jin, S., Xie, BH. & Yu, ZX. Vector Coherent States of Sp(2n,R) Lie algebra for XYZ Antiferromagnetic Heisenberg Model. Int J Theor Phys 52, 1033–1042 (2013). https://doi.org/10.1007/s10773-012-1417-y

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  • DOI: https://doi.org/10.1007/s10773-012-1417-y

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