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在量子哈尔系统中区分非阿贝尔拓序列

Bivas Dutta¹, Wenmin Yang¹, Ron Melcer¹

¹Braun Center for Sub-Micron Research, Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel.

Science (New York, N.Y.)

|December 23, 2021

概括

研究人员在填充因子5/2时确定了自旋极化量子霍尔状态的拓顺序. 这种奇特的量子阶段的特征在于边缘的中性马约拉纳模式, 证实了粒子洞的Pfaffian顺序.

科学领域:

凝聚物质物理学
量子霍尔效应
拓量子物质

背景情况:

量子霍尔状态表现出异国情调的量子阶段,其边缘模式由散装边缘对应控制.
填充因子 (ν) = 5/2 状态是非阿贝尔拓顺序的主要候选者,具有阿贝尔和非阿贝尔阶段的潜力.

研究的目的:

开发一种用于连接量子状态的新方法,以确定 ν = 5/2 状态的拓顺序.
在 ν = 5/2 量子哈尔状态下实验区分竞争的拓序列,特别是粒子孔Pfaffian (PH-Pf) 和反Pfaffian.

主要方法:

在半平面几何中将 ν = 5/2 量子霍尔状态与整数 ν = 3 状态相接.
在接口上探测边缘模式,特别是分数v=1/2充电模式和中性Majorana模式.
测量隔离噪声以分析Majorana模式的反传播性.

主要成果:

接口支持分数v=1/2充电模式和中性Majorana模式.
测量到的Majorana模式的反传播性与粒子孔Pfaffian (PH-Pf) 拓顺序一致.
实验结果排除了n = 5/2状态的反Pfaffian拓顺序.

结论:

这项研究成功地确定了 ν = 5/2 量子哈尔状态的拓顺序.
这些发现证实了粒子洞Pfaffian拓顺序的存在,这是实现非阿贝尔 anionic 状态的关键一步.
开发的接口方法为量子系统中复杂的拓阶段提供了新途径.

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