论文标题
非亚伯手性旋转液体的网络建设
Network construction of non-Abelian chiral spin liquids
论文作者
论文摘要
我们使用手性连接网络在两个空间维度上构建了拓扑性手性旋转液体的家族。手性旋转液相储藏室SU（2）$ _ k $ Anyons，源于基础SU（2）$ _K $ WZW型号，描述了该网络的组成型旋转链。该网络表现出量化的自旋和热厅电导。我们通过检查SU（2）$ _ 2 $型号的拓扑特性来说明我们的构建。我们发现，这种模型已经出现了任何人，纺纱物充当构造Majorana零模式的涡流激发。我们还表明，该网络的基态在圆环上是三倍的堕落，主张其非亚洲特征。我们的结果为人造量子材料中非亚洲拓扑阶段的稳定性提供了新的启示。
We use a network of chiral junctions to construct a family of topological chiral spin liquids in two spatial dimensions. The chiral spin liquid phase harbors SU(2)$_k$ anyons, which stem from the underlying SU(2)$_k$ WZW models that describe the constituent spin chains of the network. The network exhibits quantized spin and thermal Hall conductances. We illustrate our construction by inspecting the topological properties of the SU(2)$_2$ model. We find that this model has emergent Ising anyons, with spinons acting as vortex excitations that bind Majorana zero modes. We also show that the ground state of this network is threefold degenerate on the torus, asserting its non-Abelian character. Our results shed new light on the stability of non-Abelian topological phases in artificial quantum materials.
