Abrikosov vortex dynamics in mesoscopic superconductors with polygonal defect geometries

Abrikosov vortex dynamics in mesoscopic superconductors with polygonal defect geometries | 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 Research Article Abrikosov vortex dynamics in mesoscopic superconductors with polygonal defect geometries M. A. Perdomo-Gutiérrez, J. Prada-Suarez, X. Rojas-Herrera, J. Barba-Ortega, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9272744/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 We simulate vortex dynamics in a mesoscopic superconducting film with a polygonal defect by solving the time-dependent Ginzburg--Landau nonlinear equations. The study probes three regimes: (i) current-driven kinematic vortices, (ii) Abrikosov vortices under an external magnetic field, and (iii) the simultaneous application of transport current and magnetic field. The defect morphology ranges from circular holes to regular polygonal shapes. Key results include a scaling law, $\textcolor{blue}{J_c \propto r^2}$, for circular defects, a reduction of the critical current and enhanced current crowding for triangular defects, and geometry-dependent resistive states. Both the size and shape of the defect modify the first vortex-penetration field and vortex trapping properties, leading to the emergence of a para-magnetic Meissner effect for sufficiently large circular holes. In the mixed regime, vortex nucleation hotpots at sharp polygonal vertices couple with current-driven instabilities to govern dissipation,suggesting geometry-based design rules for controlling vortex behavior in superconducting devices. Superconductivity Vortex states Vortex nucleation Dissipation Polygonal defects Full Text Additional Declarations No competing interests reported. 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-9272744","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":637451779,"identity":"63b6f73d-5a45-4299-ad4c-f9dd61abdaa8","order_by":0,"name":"M. A. 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The study probes three regimes: (i) current-driven kinematic vortices, (ii) Abrikosov vortices under an external magnetic field, and (iii) the simultaneous application of transport current and magnetic field. The defect morphology ranges from circular holes to regular polygonal shapes. Key results include a scaling law, $\\textcolor{blue}{J_c \\propto r^2}$, for circular defects, a reduction of the critical current and enhanced current crowding for triangular defects, and geometry-dependent resistive states. Both the size and shape of the defect modify the first vortex-penetration field and vortex trapping properties, leading to the emergence of a para\\-magnetic Meissner effect for sufficiently large circular holes. 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