Fractional Mutual Statistics on Integer Quantum Hall Edges
Fractional Mutual Statistics on Integer Quantum Hall Edges
复制标题
DOI：
10.1103/physrevlett.125.196802
复制
发表时间：
2020-11-06
影响因子：
8.6
通讯作者：
Sim, H. -S.
中科院分区：
文献类型：
--
作者：
Lee, June-Young M.;Han, Cheolhee;Sim, H. -S.
分数电荷和统计是分数量子霍尔（QH）系统等低维相互作用系统的标志。整数QH系统被认为是非相互作用的，但是当它们耦合到另一个相互作用的系统或时变电压时，它们可以具有分数电荷激励。在这里，我们注意到这种分数激励和电子之间的阿贝尔分数相互统计量，并提出了一种检测统计量的设置，其中在整数QH域中产生分数激励并注入马赫-曾达干涉仪（MZI）。在参数体系中，主要的干涉过程包括在MZI分束器激发的电子和分数激励之间通过双重交换进行编织。这种编织通过相互统计量的相位角导致干涉相移。这种直接观察分数互统计量的建议是在实验范围内的。
Fractional charge and statistics are hallmarks of low-dimensional interacting systems such as fractional quantum Hall (QH) systems. Integer QH systems are regarded as noninteracting, yet they can have fractional charge excitations when they couple to another interacting system or time-dependent voltages. Here, we notice Abelian fractional mutual statistics between such a fractional excitation and an electron, and propose a setup for detection of the statistics in which a fractional excitation is generated at a source and injected to a Mach-Zehnder interferometer (MZI) in the integer QH regime. In a parameter regime, the dominant interference process involves braiding, via double exchange, between an electron excited at an MZI beam splitter and the fractional excitation. The braiding results in the interference phase shift by the phase angle of the mutual statistics. This proposal for directly observing the fractional mutual statistics is within experimental reach.