标题： 拓扑绝缘体的分类：II. 准二维局域性 显示英文标题

标题： Topological Classification of Insulators: II. Quasi-Two-Dimensional Locality

摘要： 我们使用Laughlin通量算子的谱投影，提供了二维局部性的另一种特征描述（例如，用于定义费米投影的霍尔电导）。利用这种抽象特征描述，我们定义了这种局部性的推广，称为准二维。我们继续计算准二维局部的酉算子或正交投影空间的路径连通分支，并发现与Kitaev表中的实际二维列有显著不同的行为，例如在酉手性情况下，存在无限多个$\mathbb{Z}$-值指标。 显示英文摘要

摘要： We provide an alternative characterization of two-dimensional locality (necessary e.g. to define the Hall conductivity of a Fermi projection) using the spectral projections of the Laughlin flux operator. Using this abstract characterization, we define generalizations of this locality, which we term quasi-2D. We go on to calculate the path-connected components of spaces of unitaries or orthogonal projections which are quasi-2D-local and find a starkly different behavior compared with the actual 2D column of the Kitaev table, exhibiting e.g., in the unitary chiral case, infinitely many $\mathbb{Z}$-valued indices.