论文标题
大规模几何形状阻碍了本地化
Large-scale geometry obstructs localization
论文作者
论文摘要
我们解释了以下事实的粗糙几何起源，即拓扑绝缘子哈密顿量的某些光谱子空间被离居，因为它们无法在任何统一离散的本地化中心集合中允许局部波形的正顺序基础。这是一个强大的结果，既不需要空间均匀性也不需要对称性，并且适用于一般riemannian歧管上的无序量子霍尔系统水平。
We explain the coarse geometric origin of the fact that certain spectral subspaces of topological insulator Hamiltonians are delocalized, in the sense that they cannot admit an orthonormal basis of localized wavefunctions, with respect to any uniformly discrete set of localization centers. This is a robust result requiring neither spatial homogeneity nor symmetries, and applies to Landau levels of disordered quantum Hall systems on general Riemannian manifolds.
