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分数法布里-珀罗干涉仪中的增强体边库仑耦合。

Enhanced Bulk-Edge Coulomb Coupling in Fractional Fabry-Perot Interferometers.

机构信息

Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA.

Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, Oxford, OX1 3NP, United Kingdom.

出版信息

Phys Rev Lett. 2015 Sep 18;115(12):126807. doi: 10.1103/PhysRevLett.115.126807.

Abstract

Recent experiments use Fabry-Perot (FP) interferometry to claim that the ν=5/2 quantum Hall state exhibits non-Abelian topological order. We note that the experiments appear inconsistent with a model neglecting bulk-edge Coulomb coupling and Majorana tunneling, so we reexamine the theory of FP devices. Even a moderate Coulomb coupling may strongly affect some fractional plateaus, but very weakly affect others, allowing us to model the data over a wide range of plateaus. While experiments are consistent with the ν=5/2 state harboring Moore-Read topological order, they may have measured Coulomb effects rather than an "even-odd effect" due to non-Abelian braiding.

摘要

最近的实验使用 Fabry-Perot(FP)干涉仪声称ν=5/2 量子霍尔态表现出非阿贝尔拓扑序。我们注意到,这些实验与一个忽略体边库仑耦合和马约拉纳隧道的模型不一致,因此我们重新研究了 FP 器件的理论。即使中等强度的库仑耦合也可能强烈影响某些分数平台,但对其他平台的影响非常弱,这使我们能够在很宽的平台范围内对数据进行建模。尽管实验与ν=5/2 态具有摩尔-Read 拓扑序一致,但它们可能测量了库仑效应,而不是由于非阿贝尔编织引起的“奇偶效应”。

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