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整数量子霍尔体系中任意子统计的特征

Signature of anyonic statistics in the integer quantum Hall regime.

作者信息

Glidic P, Petkovic I, Piquard C, Aassime A, Cavanna A, Jin Y, Gennser U, Mora C, Kovrizhin D, Anthore A, Pierre F

机构信息

Université Paris-Saclay, CNRS, Centre de Nanosciences et de Nanotechnologies, 91120, Palaiseau, France.

Université Paris Cité, CNRS, Laboratoire Matériaux et Phénomènes Quantiques, F-75013, Paris, France.

出版信息

Nat Commun. 2024 Aug 3;15(1):6578. doi: 10.1038/s41467-024-50820-0.

DOI:10.1038/s41467-024-50820-0
PMID:39097568
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11297956/
Abstract

Anyons are exotic low-dimensional quasiparticles whose unconventional quantum statistics extend the binary particle division into fermions and bosons. The fractional quantum Hall regime provides a natural host, with the first convincing anyon signatures recently observed through interferometry and cross-correlations of colliding beams. However, the fractional regime is rife with experimental complications, such as an anomalous tunneling density of states, which impede the manipulation of anyons. Here we show experimentally that the canonical integer quantum Hall regime can provide a robust anyon platform. Exploiting the Coulomb interaction between two copropagating quantum Hall channels, an electron injected into one channel splits into two fractional charges behaving as abelian anyons. Their unconventional statistics is revealed by negative cross-correlations between dilute quasiparticle beams. Similarly to fractional quantum Hall observations, we show that the negative signal stems from a time-domain braiding process, here involving the incident fractional quasiparticles and spontaneously generated electron-hole pairs. Beyond the dilute limit, a theoretical understanding is achieved via the edge magnetoplasmon description of interacting integer quantum Hall channels. Our findings establish that, counter-intuitively, the integer quantum Hall regime provides a platform of choice for exploring and manipulating quasiparticles with fractional quantum statistics.

摘要

任意子是奇特的低维准粒子,其非常规量子统计将粒子的二元划分扩展到费米子和玻色子之外。分数量子霍尔体系提供了一个天然的载体,最近通过干涉测量和碰撞束的交叉关联首次观察到了令人信服的任意子特征。然而,分数量子霍尔体系存在诸多实验上的复杂情况,比如反常的隧穿态密度,这阻碍了对任意子的操控。在此,我们通过实验表明,规范整数量子霍尔体系能够提供一个稳健的任意子平台。利用两个同向传播的量子霍尔通道之间的库仑相互作用,注入到一个通道的电子会分裂成两个表现为阿贝尔任意子的分数电荷。它们的非常规统计特性通过稀准粒子束之间的负交叉关联得以揭示。与分数量子霍尔观测结果类似,我们表明负信号源于一个时域编织过程,在此过程中涉及入射的分数准粒子和自发产生的电子 - 空穴对。在稀极限之外,通过对相互作用的整数量子霍尔通道的边缘磁等离子体描述实现了理论理解。我们的研究结果表明,与直觉相反,整数量子霍尔体系为探索和操控具有分数量子统计特性的准粒子提供了一个理想的平台。

相似文献

1
Signature of anyonic statistics in the integer quantum Hall regime.整数量子霍尔体系中任意子统计的特征
Nat Commun. 2024 Aug 3;15(1):6578. doi: 10.1038/s41467-024-50820-0.
2
Observation of the scaling dimension of fractional quantum Hall anyons.分数量子 Hall 任意子的标度维数的观测。
Nature. 2024 Aug;632(8025):517-521. doi: 10.1038/s41586-024-07727-z. Epub 2024 Jul 3.
3
Partitioning of diluted anyons reveals their braiding statistics.稀释任意子的分区揭示了它们的编织统计特性。
Nature. 2023 May;617(7960):277-281. doi: 10.1038/s41586-023-05883-2. Epub 2023 Apr 26.
4
Effect of the Soliton Width on Nonequilibrium Exchange Phases of Anyons.孤子宽度对任意子非平衡交换相的影响。
Phys Rev Lett. 2024 Apr 12;132(15):156501. doi: 10.1103/PhysRevLett.132.156501.
5
Non-Abelian anyon collider.非阿贝尔任意子对撞机。
Nat Commun. 2022 Nov 4;13(1):6660. doi: 10.1038/s41467-022-34329-y.
6
Demonstrating anyonic fractional statistics with a six-qubit quantum simulator.用一个六量子比特量子模拟器演示任意子分数统计。
Phys Rev Lett. 2009 Jan 23;102(3):030502. doi: 10.1103/PhysRevLett.102.030502. Epub 2009 Jan 21.
7
Topological vacuum bubbles by anyon braiding.通过任意子编织形成的拓扑真空泡。
Nat Commun. 2016 Mar 31;7:11131. doi: 10.1038/ncomms11131.
8
Negative Excess Shot Noise by Anyon Braiding.任意子编织产生的负过量散粒噪声。
Phys Rev Lett. 2019 Jul 3;123(1):016803. doi: 10.1103/PhysRevLett.123.016803.
9
Fractional statistics in anyon collisions.任意子碰撞中的分数统计。
Science. 2020 Apr 10;368(6487):173-177. doi: 10.1126/science.aaz5601.
10
Two-particle time-domain interferometry in the fractional quantum Hall effect regime.分数量子霍尔效应区域中的双粒子时域干涉测量法。
Nat Commun. 2022 Oct 4;13(1):5863. doi: 10.1038/s41467-022-33603-3.

本文引用的文献

1
Finite Width of Anyons Changes Their Braiding Signature.任意子的有限宽度改变了它们的编织特征。
Phys Rev Lett. 2024 May 24;132(21):216601. doi: 10.1103/PhysRevLett.132.216601.
2
Effect of the Soliton Width on Nonequilibrium Exchange Phases of Anyons.孤子宽度对任意子非平衡交换相的影响。
Phys Rev Lett. 2024 Apr 12;132(15):156501. doi: 10.1103/PhysRevLett.132.156501.
3
Partitioning of diluted anyons reveals their braiding statistics.稀释任意子的分区揭示了它们的编织统计特性。
Nature. 2023 May;617(7960):277-281. doi: 10.1038/s41586-023-05883-2. Epub 2023 Apr 26.
4
Quasiparticle Andreev scattering in the ν = 1/3 fractional quantum Hall regime.准粒子安德烈夫散射在ν = 1/3 分数量子霍尔态中。
Nat Commun. 2023 Jan 31;14(1):514. doi: 10.1038/s41467-023-36080-4.
5
Non-Abelian anyon collider.非阿贝尔任意子对撞机。
Nat Commun. 2022 Nov 4;13(1):6660. doi: 10.1038/s41467-022-34329-y.
6
Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers.体边耦合对量子霍尔干涉仪中任意子编织统计观测的影响。
Nat Commun. 2022 Jan 17;13(1):344. doi: 10.1038/s41467-022-27958-w.
7
Fractional charge and fractional statistics in the quantum Hall effects.量子霍尔效应中的分数电荷与分数统计
Rep Prog Phys. 2021 Jun 22;84(7). doi: 10.1088/1361-6633/ac03aa.
8
Fractional Mutual Statistics on Integer Quantum Hall Edges.整数量子霍尔边缘的分数互统计
Phys Rev Lett. 2020 Nov 6;125(19):196802. doi: 10.1103/PhysRevLett.125.196802.
9
Fractional statistics in anyon collisions.任意子碰撞中的分数统计。
Science. 2020 Apr 10;368(6487):173-177. doi: 10.1126/science.aaz5601.
10
Negative Excess Shot Noise by Anyon Braiding.任意子编织产生的负过量散粒噪声。
Phys Rev Lett. 2019 Jul 3;123(1):016803. doi: 10.1103/PhysRevLett.123.016803.