The topology of mobility-gapped insulators
The topology of mobility-gapped insulators
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迁移率间隙绝缘体的拓扑
DOI：
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发表时间：
2018
影响因子：
1.2
通讯作者：
Jacob Shapiro
中科院分区：
文献类型：
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作者：
Jacob Shapiro
通过对确定性算符的研究，我们在迁移率间隙绝缘子空间上定义了一种拓扑，使得拓扑不变量是到离散空间的连续映射，我们证明了整数量子霍尔效应确实如此，最后我们用分数矩方法从局域化理论的角度说明了为什么我们的“绝缘子”条件是有意义的。
Studying deterministic operators, we define a topology on the space of mobility-gapped insulators such that topological invariants are continuous maps into discrete spaces, we prove that this is indeed the case for the integer quantum Hall effect, and lastly we show why our “insulator” condition makes sense from the point of view of the localization theory using the fractional moments method.