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非阿贝尔ν = 5/2量子霍尔干涉仪中的体边耦合

Bulk-edge coupling in the non-Abelian nu=5/2 quantum hall interferometer.

作者信息

Rosenow B, Halperin B I, Simon S H, Stern Ady

机构信息

Physics Department, Harvard University, Cambridge 02138, Massachusetts, USA.

出版信息

Phys Rev Lett. 2008 Jun 6;100(22):226803. doi: 10.1103/PhysRevLett.100.226803.

Abstract

Recent schemes for probing non-Abelian statistics in the quantum Hall effect are based on geometries where current-carrying quasiparticles flow along edges that encircle bulk quasiparticles, which are localized. Here we consider one such scheme, the Fabry-Perot interferometer, and analyze how its interference patterns are affected by a coupling that allows tunneling of neutral Majorana fermions between the bulk and edge. While at weak coupling this tunneling degrades the interference signal, we find that at strong coupling, the bulk quasiparticle becomes essentially absorbed by the edge and the intereference signal is fully restored. Furthermore, we find that the strength of the coupling can be tuned by the source-drain voltage.

摘要

近期用于探测量子霍尔效应中非阿贝尔统计的方案基于这样的几何结构

载流准粒子沿着环绕着局域化的体准粒子的边缘流动。在此,我们考虑其中一种方案,即法布里 - 珀罗干涉仪,并分析其干涉图样如何受到一种耦合的影响,这种耦合允许中性马约拉纳费米子在体和边缘之间隧穿。虽然在弱耦合时这种隧穿会使干涉信号退化,但我们发现,在强耦合时,体准粒子基本上被边缘吸收,干涉信号完全恢复。此外,我们发现耦合强度可以通过源漏电压来调节。

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