具有粒子-空穴和反射对称性的梯形模型的拓扑绝缘
Topological insulation in a ladder model with particle-hole and reflection symmetries
摘要：
构造了一个具有宇称反常的一维两足阶梯模型。该模型属于$C$和$CI$对称类，这取决于参数，但由于反射，它表现出拓扑绝缘。该模型由两个叠加的Creutz模型与现场电位。这两种情况下的拓扑不变量是{ \it镜像绕组数}，其在拓扑相位中单独为非零，但在两个相位中总和为零。我们证明了在拓扑区域中存在边缘态和量子化霍尔响应。我们的模型表现出两个不同的拓扑区域，区分不同类型的反射对称性。
英文摘要：
A two-legged ladder model, one dimensional, exhibiting the parity anomaly is constructed. The model belongs to the $C$ and $CI$ symmetry classes, depending on the parameters, but, due to reflection, it exhibits topological insulation. The model consists of two superimposed Creutz models with onsite potentials. The topological invariants for both cases are {\it mirror winding numbers,} which are nonzero individually in the topological phase, but sum to zero overall in both phases. We demonstrate the presence of edge states and quantized Hall response in the topological region. Our model exhibits two distinct topological regions, distinguished by the different types of reflection symmetries.
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