论文标题
so(5)$ _ {1} $手性边缘状态
Non-Abelian topological order with SO(5)$_{1}$ chiral edge states
论文作者
论文摘要
我们考虑使用Parton理论构建的手性自旋液体。该州支持非亚洲的人和中立的费米子,这与著名的摩尔阅读状态具有一些相似之处。 Parton状态的边缘物理和Moore-Read状态大不相同。基于共形场理论(CFT)分析,提议边缘状态表现出紧急的SO(5)对称性。计算(5)$ _ {1} $ CFT塔楼中边缘状态的计数。手性自旋液体是使用张量网络方法生成的,这使我们能够使用纠缠频谱确认SO(5)$ _ {1} $计数。观察并分析了纠缠频谱中多个分支的另一个特征。
We consider a chiral spin liquid constructed using the parton theory. This state supports non-Abelian anyons and neutral fermions, which share some similarities with the celebrated Moore-Read state. The edge physics of the parton state and the Moore-Read state is very different. Based on conformal field theory (CFT) analysis, it is proposed that the edge states exhibit an emergent SO(5) symmetry. The counting of edge states in the low-lying SO(5)$_{1}$ CFT towers is computed. The chiral spin liquid is generated using tensor network methods, which allows us to confirm the SO(5)$_{1}$ counting using entanglement spectrum. An additional feature of multiple branches in the entanglement spectrum is observed and analyzed.