Identifying topological order in the Shastry-Sutherland model via entanglement entropy
Identifying topological order in the Shastry-Sutherland model via entanglement entropy
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DOI：
10.1103/physrevb.90.201108
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发表时间：
2014-07
影响因子：
3.7
通讯作者：
David C. Ronquillo;M. R. Peterson
中科院分区：
文献类型：
--
作者：
David C. Ronquillo;M. R. Peterson
众所周知，对于拓扑有序状态，纠缠熵的面积律显示出负的普遍加性常数贡献$-\gamma$，称为拓扑纠缠熵。利用精确对角化理论研究了二维Shastry-Sutherland量子反铁磁体在16和24个自旋团簇上的纠缠熵。利用Kitaev-Preskill结构[A]。Kitaev和J. Preskill，物理学家。启。{\bf 96}, 110404(2006)]我们提取了一个有限拓扑项$-\gamma$，该拓扑项对应于高几何挫折的粘结强度参数空间区域。因此，我们为奇异拓扑有序状态的存在提供了强有力的证据，并阐明了该模型强烈受挫且长期存在争议的中间阶段的本质。
It is known that for a topologically ordered state the area law for the entanglement entropy shows a negative universal additive constant contribution, $-\gamma$, called the topological entanglement entropy. We theoretically study the entanglement entropy of the two-dimensional Shastry-Sutherland quantum antiferromagnet using exact diagonalization on clusters of 16 and 24 spins. By utilizing the Kitaev-Preskill construction [A. Kitaev and J. Preskill, Phys. Rev. Lett. {\bf 96}, 110404 (2006)] we extract a finite topological term, $-\gamma$, in the region of bond-strength parameter space corresponding to high geometrical frustration. Thus, we provide strong evidence for the existence of an exotic topologically ordered state and shed light on the nature of this model's strongly frustrated, and long controversial, intermediate phase.