In this paper, we study the von Neumann entanglement entropy as a measure of the quantum entanglement in the spin-1 two-dimensional XX model with single-ion anisotropy. We use the bond operator formalism and consider the range of large anisotropy D and in the neighborhood of the critical point $$D_\mathrm{c}$$ . One discusses the influence of the Berezinskii–Kosterlitz–Thouless phase transition (BKT) that occurs at critical anisotropy point $$D_\mathrm{c}$$ , or the transition of the topological order of vortices and disordered phase on quantum entanglement.

中文翻译：

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拓扑相变对二维自旋 1 反铁磁 XX 模型中纠缠的影响

在本文中，我们研究了冯诺依曼纠缠熵作为具有单离子各向异性的自旋 1 二维 XX 模型中量子纠缠的度量。我们使用键算子形式并考虑大各向异性 D 和临界点 $$D_\mathrm{c}$$ 附近的范围。一个讨论了在临界各向异性点 $$D_\mathrm{c}$$ 处发生的 Berezinskii-Kosterlitz-Thouless 相变 (BKT) 的影响，或涡旋和无序相的拓扑顺序的转变对量子纠缠的影响。