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Unlike bosons and fermions, quasi-particles in two-dimensional quantum systems, known as anyons, exhibit statistical exchange phases that range between $0$ and $\pi$. In fractional quantum Hall states, these anyons, possessing a fraction of…

介观与纳米尺度物理 · 物理学 2024-04-30 Matthias Thamm , Bernd Rosenow

Contrary to fermions and bosons, anyons are quasiparticles that keep a robust memory of particle exchanges via a braiding phase factor. This provides them with unique dynamical properties so far unexplored. When an anyon excitation is…

The exotic braiding of anyons is certainly the most tantalizing aspect of fractional quantum Hall states. Although braiding is usually thought as a two-dimensional adiabatic manipulation, the braiding phase can also be captured in one…

介观与纳米尺度物理 · 物理学 2022-12-13 Christophe Mora

In this paper, we report on the study of Abelian and non-Abelian statistics through Fabry-Perot interferometry of fractional quantum Hall (FQH) systems. Our detection of phase slips in quantum interference experiments demonstrates a…

介观与纳米尺度物理 · 物理学 2011-12-16 Sanghun An , P. Jiang , H. Choi , W. Kang , S. H. Simon , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The search for anyons, quasiparticles with fractional charge and exotic exchange statistics, has inspired decades of condensed matter research. Quantum Hall interferometers enable direct observation of the anyon braiding phase via discrete…

Correlations of partitioned particles carry essential information about their quantumness. Partitioning full beams of charged particles leads to current fluctuations, with their autocorrelation (namely, shot noise) revealing the particle'…

介观与纳米尺度物理 · 物理学 2023-05-18 June-Young M. Lee , Changki Hong , Tomer Alkalay , Noam Schiller , Vladimir Umansky , Moty Heiblum , Yuval Oreg , H. -S. Sim

Anyons are quasiparticles with fractional statistics, bridging between fermions and bosons. We propose an experimental setup to measure the statistical angle of topological anyons emitted from a quantum point contact (QPC) source. The setup…

Even-denominator quantum Hall states can host several types of anyons with distinct exchange statistics. Depending on the anyon type, exchanging two quasiparticles can impart a phase to the many-body wave function or even transform it into…

介观与纳米尺度物理 · 物理学 2026-03-13 Jehyun Kim , Amit Shaer , Ravi Kumar , Alexey Ilin , Kenji Watanabe , Takashi Taniguchi , Ady Stern , David F. Mross , Yuval Ronen

It is well known that in two spatial dimensions the fractional quantum Hall effect (FQHE) deals with point-like anyons that carry fractional electric charge and statistics. Moreover, in presence of a SO(3) order parameter, point-like…

介观与纳米尺度物理 · 物理学 2022-05-26 Giandomenico Palumbo

The fractional quantum Hall effect (FQHE) is known to host anyons, quasiparticles whose statistics is intermediate between bosonic and fermionic. We show here that Hong-Ou-Mandel (HOM) interferences between excitations created by narrow…

介观与纳米尺度物理 · 物理学 2023-12-01 T. Jonckheere , J. Rech , B. Grémaud , T. Martin

Anyons obeying fractional exchange statistics arise naturally in two dimensions: hard-core two-body constraints make the configuration space of particles not simply-connected. The braid group describes how topologically-inequivalent…

量子气体 · 物理学 2024-03-27 Sebastian Nagies , Botao Wang , A. C. Knapp , André Eckardt , N. L. Harshman

We establish an exact mapping between identical particles in one dimension with arbitrary exchange statistics, including bosons, anyons and fermions, provided they share the same scattering length. This boson-anyon-fermion mapping…

量子气体 · 物理学 2025-06-27 Haitian Wang , Yu Chen , Xiaoling Cui

Anyon colliders -- quantum Hall devices where dilute quasiparticle beams collide at a quantum point contact -- provide an interferometer-free probe of anyonic exchange phases through current cross correlations. Within a non-equilibrium…

介观与纳米尺度物理 · 物理学 2025-10-15 Bernd Rosenow , Bertrand I. Halperin

Fractional quantum statistics are the defining characteristic of anyons. Measuring the phase generated by an exchange of anyons is challenging, as standard interferometry setups -- such as the Fabry-P\'erot interferometer -- suffer from…

介观与纳米尺度物理 · 物理学 2025-06-16 Bikash Ghosh , Maria Labendik , Liliia Musina , Vladimir Umansky , Moty Heiblum , David F. Mross

We demonstrate that anyons on wire networks have fundamentally different braiding properties than anyons in 2D. Our analysis reveals an unexpectedly wide variety of possible non-abelian braiding behaviours on networks. The character of…

量子物理 · 物理学 2020-11-24 Tomasz Maciążek , Byung Hee An

The low-energy dynamics of two-dimensional topological matter hinges on its one-dimensional edge modes. Tunneling between fractional quantum Hall edge modes facilitates the study of anyonic statistics: it induces time-domain braiding that…

介观与纳米尺度物理 · 物理学 2025-07-25 Gu Zhang , Igor Gornyi , Yuval Gefen

Anyons - particles carrying fractional statistics that interpolate between bosons and fermions - have been conjectured to exist in low dimensional systems. In the context of the fractional quantum Hall effect (FQHE), quasi-particles made of…

量子气体 · 物理学 2011-08-29 Tassilo Keilmann , Simon Lanzmich , Ian McCulloch , Marco Roncaglia

Certain fractional quantum Hall edges have been predicted to undergo quantum phase transitions which reduce the number of edge channels and at the same time bind electrons together. However, detailed studies of experimental signatures of…

介观与纳米尺度物理 · 物理学 2023-10-24 Christian Spånslätt , Ady Stern , Alexander D. Mirlin

Anyon usually exists as collective excitation of two dimensional electron gas subjected to strong magnetic field, carrying fractional charges and exotic statistical character beyond fermion and boson. Fractional quantum Hall effect (FQHE)…

强关联电子 · 物理学 2021-06-30 Tieyan Si

Anyons are low-dimensional quasiparticles that obey fractional statistics, hence interpolating between bosons and fermions. In two dimensions, they exist as elementary excitations of fractional quantum Hall states and they are believed to…

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