Universality of quantum Hall effect: Topological invariant and observable.
Universality of quantum Hall effect: Topological invariant and observable.
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量子霍尔效应的普遍性：拓扑不变且可观测。
DOI：
10.1103/physrevlett.57.3093
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发表时间：
1986
影响因子：
8.6
通讯作者：
T. Ando
中科院分区：
文献类型：
--
作者：
Hideo Aoki;T. Ando
我们证明了量子霍尔效应的普遍性，因为任何有或没有无序的二维或三维系统中的通量平均霍尔电导率都由以$\frac{{e}^{2}}{h}$为单位量化的拓扑不变量给出对于有限系统中的每个能级，$T=0$。在整个能谱上的可观察到的霍尔电导率的相关性与晶格系统的数值结果一起提出。
We show a universality in the quantum Hall effect in that the flux-averaged Hall conductivity in any two- or three-dimensional system with or without disorder is given by a topological invariant quantized in units of $\frac{{e}^{2}}{h}$ at $T=0$ for every energy level in a finite system. Relevance to the observable Hall conductivity over the whole energy spectrum is presented together with numerical results for lattice systems.