点接触团簇上Heisenberg模型的纠缠熵标度
Scaling of Entanglement Entropy for the Heisenberg Model on Clusters Joined by Point Contacts
摘要：
计算研究了最近邻反铁磁海森堡自旋模型中由单键连接的团簇的纠缠熵标度。将平衡的三足贝特团簇二等分，给出了第二个Renyi熵和价键熵，它们与团簇中的位点数成比例。对于正方形团簇的类似情况，即两个$L \times L$团簇通过单键连接，数值结果表明第二Renyi熵和价键熵的标度为$L$。对于这两个体系，环境和体系通过单键连接，相互作用是短程的。熵并不像面积定律所建议的那样随系统大小而变化。
英文摘要：
The scaling of entanglement entropy for the nearest neighbor antiferromagnetic Heisenberg spin model is studied computationally for clusters joined by a single bond. Bisecting the balanced three legged Bethe Cluster, gives a second Renyi entropy and the valence bond entropy which scales as the number of sites in the cluster. For the analogous situation with square clusters, i.e. two $L \times L$ clusters joined by a single bond, numerical results suggest that the second Renyi entropy and the valence bond entropy scales as $L$. For both systems, the environment and the system are connected by the single bond and interaction is short range. The entropy is not constant with system size as suggested by the area law.
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