论文标题
广义威尼斯基地的定位意味着非周期性绝缘体中的Chern琐事
Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators
论文作者
论文摘要
我们研究了普遍的瓦尼底座的定位与在无序背景中的独立电子（包括磁场）的二维间隙量子系统的拓扑特性之间的关系，例如Chern Insulators和Quantum Hall Systems。我们证明，Fermi投影的存在良好的广义基础基础意味着Chern特征消失了，这与线性响应方案中的霍尔电导率成正比。此外，我们陈述了一般非周期性间隙量子系统的定位二分法。
We investigate the relation between the localization of generalized Wannier bases and the topological properties of two-dimensional gapped quantum systems of independent electrons in a disordered background, including magnetic fields, as in the case of Chern insulators and quantum Hall systems. We prove that the existence of a well-localized generalized Wannier basis for the Fermi projection implies the vanishing of the Chern character, which is proportional to the Hall conductivity in the linear response regime. Moreover, we state a localization dichotomy conjecture for general non-periodic gapped quantum systems.
