论文标题
$ν= 1/3 $和$ 2/5 $分数量子厅的互相关调查
Cross-Correlation Investigation of Anyon Statistics in the $ν=1/3$ and $2/5$ Fractional Quantum Hall States
论文作者
论文摘要
最近的开拓性工作为探索沿两个相交的准叶片梁的负电流互相关探索任何编织统计的阶段奠定了基础。在这样的双源 - 分析仪量子点接触设置(也称为“对撞机”)中,预计分数量子霍尔准粒子的Anyon交换阶段被遗失在有效的Fano-Faltor $ p $中的互相关中。在对称传入的准粒子梁的情况下,传统的费用导致$ p $消失。与之形成鲜明对比的是,我们观察到$ e/3 $ laughlin准粒子在填充因子$ν= 1/3 $($ p \ of-2 $,确认以前的发现),$ e/5 $ e/5 $ quasiparticles的$ e/3 $ laughlin准粒子以及近期$ c $ c $ c $ c $ p.然而,我们认为,$ p \ neq0 $的数值与特定分数交换阶段之间的定量连接受到分析仪电导依赖对产生准粒子电压的影响的影响。最后,我们应对如何在$ν= 1/3 $区分分数编织阶段引起的负互相关的重要挑战,以及由不同的Andreev样机制所产生的。尽管当分析仪逐渐失调以偏爱Andreev流程时,尽管有对称来源$ p $不会显示出跨界的签名,但我们证明,改变来源之间的平衡提供了一种均值来区分两种机制。
Recent pioneering works have set the stage for exploring anyon braiding statistics from negative current cross-correlations along two intersecting quasiparticle beams. In such a dual-source - analyzer quantum point contact setup, also referred to as 'collider', the anyon exchange phase of fractional quantum Hall quasiparticles is predicted to be imprinted into the cross-correlations characterized by an effective Fano-factor $P$. In the case of symmetric incoming quasiparticle beams, conventional fermions result in a vanishing $P$. In marked contrast, we observe signatures of anyon statistics in the negative $P$ found both for the $e/3$ Laughlin quasiparticles at filling factor $ν=1/3$ ($P\approx-2$, corroborating previous findings), and for the $e/5$ quasiparticles in the hierarchical state $ν=2/5$ ($P\approx-1$). Nevertheless, we argue that the quantitative connection between numerical value of $P\neq0$ and specific fractional exchange phase is hampered by the influence of the analyzer conductance dependence on the voltages used to generate the quasiparticles. Finally, we address the important challenge how to distinguish at $ν=1/3$ between negative cross-correlations induced by a fractional braid phase, and those resulting from a different Andreev-like mechanism. Although with symmetric sources $P$ does not exhibit signatures of a crossover when the analyzer is progressively detuned to favor Andreev processes, we demonstrate that changing the balance between sources provides a mean to discriminate between the two mechanisms.