论文标题
量子厅网络模型作为浮光拓扑绝缘子
Quantum Hall network models as Floquet topological insulators
论文作者
论文摘要
平衡整数量子大厅（IQH）过渡的网络模型由单一散射矩阵描述，也可以看作是代表非平衡浮点系统。由此产生的浮子带的Chern号为零，而是以手性浮雕（CF）绕组数为特征。这就提出了一个问题：没有Chern号码的模型如何描述IQH系统？我们通过表明非零的Chern数通过网络模型散射参数的能量依赖性从网络模型中恢复了非零的Chern数来解决这一明显的悖论。这种关系表明，尽管具有拓扑不同的起源，但IQH和CF改变拓扑的转变具有相同的通用缩放属性。
Network models for equilibrium integer quantum Hall (IQH) transitions are described by unitary scattering matrices, that can also be viewed as representing non-equilibrium Floquet systems. The resulting Floquet bands have zero Chern number, and are instead characterized by a chiral Floquet (CF) winding number. This begs the question: How can a model without Chern number describe IQH systems? We resolve this apparent paradox by showing that non-zero Chern number is recovered from the network model via the energy dependence of network model scattering parameters. This relationship shows that, despite their topologically distinct origins, IQH and CF topology-changing transitions share identical universal scaling properties.
