Abstract The thermal entanglement in the spin-1 two-dimensional Heisenberg antiferromagnetic chain, with ion-single anisotropy, square lattice and in the neighborhood of critical anisotropy D c is studied employing Schwinger bosons. In particular, we discuss the effect of the variation of the critical anisotropy D c that separates the topological order of vortices for D D c from the disordered phase for D > D c , on thermal entanglement. Furthermore, we analyze the effect of quantum phase transition described in the diagram D c vs. J 2 (second neighbors interactions ) on entanglement for a particular class of two-dimensional Heisenberg models which presents different exchange interactions J x and J y on x and y directions on square lattice.

中文翻译：

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各向异性二维 XXZ 模型中的纠缠和量子相变

摘要 利用施温格玻色子研究了自旋1二维海森堡反铁磁链中的热纠缠，具有离子单向性、方形晶格和临界各向异性D c 附近。特别是，我们讨论了临界各向异性 D c 的变化对热纠缠的影响，该变化将 DD c 的涡旋拓扑顺序与 D > D c 的无序相分开。此外，我们分析了图 D c 与 J 2（第二邻域相互作用）中描述的量子相变对特定类别二维海森堡模型纠缠的影响，该模型在 x 上呈现不同的交换相互作用 J x 和 J y 和方格上的 y 方向。