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Investigation of bipartite entanglement across the magnetization process of a highly frustrated spin-1/2 Heisenberg octahedral chain as a new paradigm of the localized-magnon approach
EPL ( IF 1.8 ) Pub Date : 2020-12-31 , DOI: 10.1209/0295-5075/132/30004
J. Strečka 1 , O. Krupnitska 1, 2 , J. Richter 3, 4
Affiliation  

The bipartite entanglement across the magnetization process of a highly frustrated spin-1/2 Heisenberg octahedral chain is examined within the concept of localized magnons, which enables a simple calculation of the concurrence measuring a strength of the pairwise entanglement between nearest-neighbor and next-nearest-neighbor spins from square plaquettes. A full exact diagonalization of the finite-size Heisenberg octahedral chain with up to 4 unit cells (20 spins) evidences an extraordinary high precision of the localized-magnon theory in predicting measures of the bipartite entanglement at sufficiently low temperatures. While the monomer-tetramer phase emergent at low enough magnetic fields exhibits presence (absence) of the bipartite entanglement between the nearest-neighbor (next-nearest-neighbor) spins, the magnon-crystal phase emergent below the saturation field contrarily displays identical bipartite entanglement between the nearest-neighbor and next-nearest-neighbor spins. The presented results verify a new paradigm of the localized-magnon approach concerned with a simple calculation of entanglement measures.



中文翻译:

作为高度磁化方法的新范式,研究了高度受挫的自旋1/2海森堡八面体链的磁化过程中的二分纠缠

在局部磁振子的概念中检查了高度受挫的自旋1/2 Heisenberg八面体链的磁化过程中的二分纠缠,这使得可以简单地计算并发性,从而测量最近邻和下一邻域之间成对纠缠的强度。正方形球状物的最近邻旋转。有限大小的Heisenberg八面体链具有多达4个晶胞(20个自旋)的完全精确对角化,证明了本地马农理论在足够低的温度下预测二分纠缠的措施时具有极高的精确度。虽然在足够低的磁场下出现的单体-四聚体相表现出最近邻(下一个近邻)自旋之间存在二分纠缠(不存在),相反,出现在饱和场以下的磁非晶体相在最近的自旋和下一个最近的自旋之间显示出相同的二分纠缠。提出的结果验证了与纠缠度量的简单计算有关的局部磁振方法的新范例。

更新日期:2020-12-31
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