Heat Conductance of the Quantum Hall Bulk

Heat Conductance of the Quantum Hall Bulk | 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 Physical Sciences - Article Heat Conductance of the Quantum Hall Bulk Moty Heiblum, Ron Melcer, Avigail Gil, Vladimir Umansky, Yuval Oreg, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3111931/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 03 Jan, 2024 Read the published version in Nature → Version 1 posted You are reading this latest preprint version Abstract The Quantum Hall Effect (QHE) is the prototypical realization of a topological state of matter. It emerges from a subtle interplay between topology, interactions, and disorder. The disorder enables the formation of localized states in the bulk that stabilize the quantum Hall states with respect to the magnetic field and carrier density. Still, the details of the localized states and their contribution to transport remain beyond the reach of most experimental techniques. Here, we describe an extensive study of the bulk's heat conductance. Using a novel 'multi-terminal' device, we separate the longitudinal thermal conductance (due to bulk's contribution) κ xx T from the two-terminal value κ 2T T, by eliminating the contribution of the edge modes. We find that when the field is tuned away from the conductance plateau center, the electronic states of the bulk conduct heat efficiently while the bulk remains electrically insulating. For fragile fractional states, such as the non-Abelian ν=5/2, we observe a finite κ xx T throughout the plateau. We identify the localized states as the cause of the finite κ xx T and propose a theoretical model which qualitatively explains our findings. Physical sciences/Physics/Condensed-matter physics/Quantum Hall Physical sciences/Physics/Condensed-matter physics/Topological matter Full Text Additional Declarations There is NO Competing Interest. Supplementary Files SIfinal.docx Supplementary Information Cite Share Download PDF Status: Published Journal Publication published 03 Jan, 2024 Read the published version in Nature → 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. 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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-3111931","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Physical Sciences - Article","associatedPublications":[],"authors":[{"id":214334508,"identity":"3f86daec-7b02-4948-8e43-e1160888cf24","order_by":0,"name":"Moty 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It emerges from a subtle interplay between topology, interactions, and disorder. The disorder enables the formation of localized states in the bulk that stabilize the quantum Hall states with respect to the magnetic field and carrier density. Still, the details of the localized states and their contribution to transport remain beyond the reach of most experimental techniques. Here, we describe an extensive study of the bulk's heat conductance. Using a novel 'multi-terminal' device, we separate the longitudinal thermal conductance (due to bulk's contribution) κ\u003csub\u003exx\u003c/sub\u003e T from the two-terminal value κ\u003csub\u003e2T\u003c/sub\u003e T, by eliminating the contribution of the edge modes. We find that when the field is tuned away from the conductance plateau center, the electronic states of the bulk conduct heat efficiently while the bulk remains electrically insulating. For fragile fractional states, such as the non-Abelian ν=5/2, we observe a finite κ\u003csub\u003exx\u003c/sub\u003e T throughout the plateau. We identify the localized states as the cause of the finite κ\u003csub\u003exx\u003c/sub\u003e T and propose a theoretical model which qualitatively explains our findings.","manuscriptTitle":"Heat Conductance of the Quantum Hall Bulk","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2023-06-30 03:21:53","doi":"10.21203/rs.3.rs-3111931/v1","editorialEvents":[],"status":"published","journal":{"display":false,"email":"[email protected]","identity":"nature","isNatureJournal":true,"hasQc":false,"allowDirectSubmit":false,"externalIdentity":"nature","sideBox":"Learn more about [Nature](http://www.nature.com/nature/)","snPcode":"","submissionUrl":"","title":"Nature","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"ejp","reportingPortfolio":"Nature","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"f6981468-756e-4bec-b36c-6ecdce73d6ce","owner":[],"postedDate":"June 30th, 2023","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":22837129,"name":"Physical sciences/Physics/Condensed-matter physics/Quantum Hall"},{"id":22837130,"name":"Physical sciences/Physics/Condensed-matter physics/Topological matter"}],"tags":[],"updatedAt":"2024-01-04T08:05:33+00:00","versionOfRecord":{"articleIdentity":"rs-3111931","link":"https://doi.org/10.1038/s41586-023-06858-z","journal":{"identity":"nature","isVorOnly":false,"title":"Nature"},"publishedOn":"2024-01-03 05:00:00","publishedOnDateReadable":"January 3rd, 2024"},"versionCreatedAt":"2023-06-30 03:21:53","video":"","vorDoi":"10.1038/s41586-023-06858-z","vorDoiUrl":"https://doi.org/10.1038/s41586-023-06858-z","workflowStages":[]},"version":"v1","identity":"rs-3111931","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3111931","identity":"rs-3111931","version":["v1"]},"buildId":"_2-kVJe1T_tPrBINL-cwx","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}