Reentrant superconductivity and superconductor-to-insulator transition in a naturally occurring Josephson junction array tuned by RF power | 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 Reentrant superconductivity and superconductor-to-insulator transition in a naturally occurring Josephson junction array tuned by RF power Yoram Dagan, Shilo Avraham, Sarath Sankar, Shay Sandik, Amir Burshtein, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6983892/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted You are reading this latest preprint version Abstract Superconductivity, characterized by dissipationless current flow with flux expulsion or quantization, is usually muted when the magnetic field or the temperature is sufficiently high. However, in rare instances, superconductivity can reappear upon increasing the temperature or magnetic field, a phenomenon known as reentrant superconductivity. It is usually observed in strongly correlated materials with competing orders. Here we demonstrate reentrant superconductivity as a function of both temperature and magnetic field, tuned by radio frequency (RF) power in a relatively simple system: granular aluminum (grAl), which exhibits the properties of a naturally occurring Josephson junction array. At low temperatures, giant Shapiro steps emerge, exhibiting characteristics of a single Josephson junction. Coherent phase locking across the array’s multiple junctions amplifies the quantized voltage, enabling tunability at radio frequencies, as observed in artificially designed Josephson arrays. We show that our system can be tuned from a coherent superconducting (stiff-phase) to an insulating (phase-fluctuating) state using RF power. We propose that the RF power modulates the Josephson coupling energy, E J . Remarkably, at elevated temperatures, the screening of the electron charge suppresses the charging energy, causing superconductivity to reappear. This many-body effect cannot be described within a single junction framework and involves many-body correlations. Our system can therefore be tuned to observe both the single-junction regime and many-body correlation effects, serving as a quantum simulator for complex phenomena in condensed matter physics. Physical sciences/Physics/Condensed-matter physics/Phase transitions and critical phenomena Physical sciences/Physics/Condensed-matter physics/Superconducting properties and materials Full Text Additional Declarations There is NO Competing Interest. Supplementary Files SupplementaryInformationReentrantsuperconductivityingrAl.pdf Supplementary information Cite Share Download PDF Status: Under Review 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-6983892","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Physical Sciences - Article","associatedPublications":[],"authors":[{"id":499263644,"identity":"37305d82-2d1e-4768-a907-5df45c897171","order_by":0,"name":"Yoram Dagan","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAElEQVRIiWNgGAWjYHACAxAhhy5oQVCLMQ8SB0RLENSS2IOqhQG3FoPjzRs/fqm5k76f/YzhYx6GP/IGB5gffmAowKPlzLFiaZljz3J7eHKMDWcwGBhuOMBmLIHPYQY3cgykJdgO5/Yw5JhJfGAwYNxwgMEMr1+AWox/S/w7nM7D/8b8RwKDgf2GA+zfCGkxk/zYdjiBRyLHjAFoS+KGAzz4bZE8c6zMmrHvsGHPjWfFkjMMjJNnHuYplkjAo4XvePPmmz++HZZn70/e+JmnQs6273j7xg8f/tjg1KJwgIGBmQfhTiBmBuIEnBoYGOQbGBgYf+BRMApGwSgYBaOAAQCR/lATONUd3AAAAABJRU5ErkJggg==","orcid":"","institution":"Tel Aviv University","correspondingAuthor":true,"prefix":"","firstName":"Yoram","middleName":"","lastName":"Dagan","suffix":""},{"id":499263645,"identity":"85e78e1d-7de1-4303-abff-c9906e76a96b","order_by":1,"name":"Shilo Avraham","email":"","orcid":"https://orcid.org/0009-0000-2867-5948","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Shilo","middleName":"","lastName":"Avraham","suffix":""},{"id":499263646,"identity":"215f1974-6cbd-4c54-8167-39d373982c82","order_by":2,"name":"Sarath Sankar","email":"","orcid":"","institution":"Tel Aviv University","correspondingAuthor":false,"prefix":"","firstName":"Sarath","middleName":"","lastName":"Sankar","suffix":""},{"id":499263647,"identity":"19e02eb7-27d2-4079-91d6-dbaa92bb0708","order_by":3,"name":"Shay Sandik","email":"","orcid":"https://orcid.org/0000-0003-0528-6637","institution":"Tel Aviv University","correspondingAuthor":false,"prefix":"","firstName":"Shay","middleName":"","lastName":"Sandik","suffix":""},{"id":499263648,"identity":"e6ecaf9f-ecb4-4e7d-8625-5e4cebe850f6","order_by":4,"name":"Amir Burshtein","email":"","orcid":"https://orcid.org/0000-0001-7287-9673","institution":"University of Tel Aviv","correspondingAuthor":false,"prefix":"","firstName":"Amir","middleName":"","lastName":"Burshtein","suffix":""},{"id":499263649,"identity":"47287555-014d-4d53-bc52-d2734f863d98","order_by":5,"name":"Moshe Goldstein","email":"","orcid":"https://orcid.org/0000-0003-4456-8004","institution":"Tel Aviv University","correspondingAuthor":false,"prefix":"","firstName":"Moshe","middleName":"","lastName":"Goldstein","suffix":""},{"id":499263650,"identity":"0a943278-206b-42b1-a65e-cddbab1d80c3","order_by":6,"name":"E Sela","email":"","orcid":"","institution":"Tel Aviv University","correspondingAuthor":false,"prefix":"","firstName":"E","middleName":"","lastName":"Sela","suffix":""}],"badges":[],"createdAt":"2025-06-26 13:36:17","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6983892/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6983892/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":89786813,"identity":"292a1edd-f721-4eef-a69b-f7ff475b898b","added_by":"auto","created_at":"2025-08-25 04:35:46","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1021825,"visible":true,"origin":"","legend":"","description":"","filename":"ReentrantSCdraft21.04.2025.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6983892/v1_covered_a8d33c00-3974-48da-aee6-ef06ea761a7a.pdf"},{"id":89786667,"identity":"feb7b46a-df94-4551-ab17-65629e3c82ea","added_by":"auto","created_at":"2025-08-25 04:27:43","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":2503143,"visible":true,"origin":"","legend":"Supplementary information","description":"","filename":"SupplementaryInformationReentrantsuperconductivityingrAl.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6983892/v1/2fac6d5ef0812b3b623def76.pdf"}],"financialInterests":"There is \u003cb\u003eNO\u003c/b\u003e Competing Interest.","formattedTitle":"Reentrant superconductivity and superconductor-to-insulator transition in a naturally occurring Josephson junction array tuned by RF power","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
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