Anyonic Braiding in a Chiral Mach-Zehnder Interferometer

Anyonic Braiding in a Chiral Mach-Zehnder Interferometer | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Anyonic Braiding in a Chiral Mach-Zehnder Interferometer Moty Heiblum, Bikash Ghosh, Maria Labendik, Liliia Musina, Vladimir Umansky, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5544133/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 02 Jul, 2025 Read the published version in Nature Physics → Version 1 posted You are reading this latest preprint version Abstract Fractional quantum statistics are the defining characteristic of anyonic quantum states. Here, we present the observation of Anyonic interference and exchange phases in a novel co-propagating , 'optical-like,' Mach-Zehnder Interferometer (OMZI). Based on co-propagating interface modes , this architecture avoids backscattering and is free of charging effects that often plague the Fabry-Perot interferometer. Consequently, it exhibits a pristine and robust Aharonov-Bohm (AB) interference. At the filling factors ν = 1/3, 2/5, and 3/7, the observed AB flux periodicities: 3Φ 0 , 5Φ 0 , and 7Φ 0 , (Φ 0 = h / e the flux quantum), agree with the fundamental fractionally charged excitations that correspond to Jain states. These flux periodicities depended only on the bulk topological order and not on the variety of tested interface modes for each bulk filling. To probe the Anyonic statistics, we positioned a small charged ‘top gate’ at the interferometer's center, allowing localized quasiparticles to be induced locally without modifying the AB phase of the interferometer. Being spatially isolated from the OMZI edge states, the observed quantized phase slips in the AB pajamas are purely quantum statistical effect. The magnitude of each phase slip corresponds to adding a fractional quasiparticle under the top gate. For ν = 1/3, their signs match theoretical expectations and prior FPI experiments, yet we observe systematic and unexpected deviations in the direction at ν = 2/5 and 3/7. The control over individual quasiparticles in this novel design will be essential for measuring the coveted non-Abelian statistics in the future. Physical sciences/Physics/Condensed-matter physics/Quantum Hall Physical sciences/Physics/Quantum physics/Quantum mechanics Full Text Additional Declarations There is NO Competing Interest. Supplementary Files Supplementaryv17.pdf supplementary material Cite Share Download PDF Status: Published Journal Publication published 02 Jul, 2025 Read the published version in Nature Physics → Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5544133","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":384268926,"identity":"31017e96-0bd9-4697-9ab4-13a5f08456ea","order_by":0,"name":"Moty 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Here, we present the observation of Anyonic interference and exchange phases in a novel \u003cem\u003eco-propagating\u003c/em\u003e, 'optical-like,' Mach-Zehnder Interferometer (OMZI). Based on co-propagating \u003cem\u003einterface modes\u003c/em\u003e, this architecture avoids backscattering and is free of charging effects that often plague the Fabry-Perot interferometer. Consequently, it exhibits a pristine and robust Aharonov-Bohm (AB) interference. At the filling factors ν = 1/3, 2/5, and 3/7, the observed AB flux periodicities: 3Φ\u003csub\u003e0\u003c/sub\u003e, 5Φ\u003csub\u003e0\u003c/sub\u003e, and 7Φ\u003csub\u003e0\u003c/sub\u003e, (Φ\u003csub\u003e0\u003c/sub\u003e = \u003cem\u003eh\u003c/em\u003e/\u003cem\u003ee\u003c/em\u003e the flux quantum), agree with the fundamental fractionally charged excitations that correspond to Jain states. 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