Even-Denominator Fractional Quantum Hall States in the Zeroth Landau Level of the Monolayer-like Band of ABA Trilayer Graphene

Even-Denominator Fractional Quantum Hall States in the Zeroth Landau Level of the Monolayer-like Band of ABA Trilayer Graphene | 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 Even-Denominator Fractional Quantum Hall States in the Zeroth Landau Level of the Monolayer-like Band of ABA Trilayer Graphene Aveek Bid, Tanima Chanda, Simrandeep Kaur, Harsimran Singh, Kenji Watanabe, and 4 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6076449/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Even-denominator fractional quantum Hall states (FQHSs) at half-filling are particularly intriguing due to their predicted non-Abelian excitations with non-trivial braiding statistics. Conventional theory suggests that such states primarily emerge in the first excited Landau level, a notion supported by existing experimental evidence. In this research article, we present an unexpected discovery of plausibly non-Abelian even-denominator FQHSs in the zeroth Landau level of Bernal-stacked trilayer graphene. Specifically, we observe robust FQHSs at filling factors ν = 5/2 and ν = 7/2, accompanied by their theoretically predicted Levin-Halperin daughter states at ν = 9/17 and ν = 7/13, respectively. Additionally, further away from these states, the standard Jain sequence of composite fermions (CFs) is detected. The even-denominator FQHSs and their corresponding daughter states strengthen with increasing magnetic fields, while the CF states weaken simultaneously. Interestingly, these even-denominator (and their daughter) FQHSs only appear at a finite displacement field, precisely when two Landau levels - originating from a monolayer-like band of trilayer graphene with distinct isospin indices - cross each other. We propose that the system’s lack of inversion symmetry leads to additional isospin interactions, enhancing Landau level mixing between these intersecting states and softening the short-range component of Coulomb repulsion, thereby stabilizing the even-denominator FQHSs. Our study challenges the current theoretical framework of even-denominator fractional quantum Hall states and expands the range of systems where they can be explored. It positions multilayer graphene as a promising platform for hosting Majorana excitations, potentially advancing fault-tolerant topological quantum computing. Physical sciences/Physics/Condensed-matter physics/Quantum Hall Physical sciences/Physics/Condensed-matter physics Full Text Additional Declarations There is NO Competing Interest. Supplementary Files Supplementary.pdf Even denominator fractional quantum Hall states in the zeroth Landau level of monolayer-like band of ABA trilayer graphene Cite Share Download PDF Status: Posted 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-6076449","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":456897507,"identity":"d6dfad7d-d00d-46fc-9e21-ebb0a8e6dcbe","order_by":0,"name":"Aveek 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Conventional theory suggests that such states primarily emerge in the first excited Landau level, a notion supported by existing experimental evidence. In this research article, we present an unexpected discovery of plausibly non-Abelian even-denominator FQHSs in the zeroth Landau level of Bernal-stacked trilayer graphene. Specifically, we observe robust FQHSs at filling factors ν = 5/2 and ν = 7/2, accompanied by their theoretically predicted Levin-Halperin daughter states at ν = 9/17 and ν = 7/13, respectively. Additionally, further away from these states, the standard Jain sequence of composite fermions (CFs) is detected. The even-denominator FQHSs and their corresponding daughter states strengthen with increasing magnetic fields, while the CF states weaken simultaneously. Interestingly, these even-denominator (and their daughter) FQHSs only appear at a finite displacement field, precisely when two Landau levels - originating from a monolayer-like band of trilayer graphene with distinct isospin indices - cross each other. We propose that the system’s lack of inversion symmetry leads to additional isospin interactions, enhancing Landau level mixing between these intersecting states and softening the short-range component of Coulomb repulsion, thereby stabilizing the even-denominator FQHSs. Our study challenges the current theoretical framework of even-denominator fractional quantum Hall states and expands the range of systems where they can be explored. 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