Investigating topological valley disclinations using multiple scattering and null-field theories

Investigating topological valley disclinations using multiple scattering and null-field theories | 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 Investigating topological valley disclinations using multiple scattering and null-field theories René Pernas, Penglin Gao, Zhiwang Zhang, Johan Chistensen This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3781357/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 28 Aug, 2024 Read the published version in Communications Materials → Version 1 posted You are reading this latest preprint version Abstract Surprisingly, topological metamaterials became a frontier topic in wave physics. What began as a curiosity driven undertaking in condensed matter physics, evolved in serious possibilities to provide topologically resilient guiding of light, sound and vibrations. Topological defects, in the form of disclinations, dislocations, vortices, etc., have capitalized on man-made structures to demonstrate their wave-confining capabilities. In this report, we discuss topological edge and disclination states in valley hall sonic lattices. A prime meta-constituent is the three-legged rod or tripod as its mere rotation enables spatial symmetry breaking. For the most part, this complicated unit is numerically treated with commercially available finite element solvers. Here, we derive the structure factor for plane wave expansions and a null-field method in combination with a multiple scattering theory to study both valley edge and disclination states. We showcase how this method enables rapid evaluation of both spatial and spectral properties related to valley topological sound wave physics. Physical sciences/Materials science/Theory and computation Physical sciences/Physics/Condensed-matter physics/Topological matter Full Text Additional Declarations There is NO Competing Interest. Cite Share Download PDF Status: Published Journal Publication published 28 Aug, 2024 Read the published version in Communications Materials → 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-3781357","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":266361625,"identity":"0f91ee30-5072-4b93-aa69-30dfec6e1754","order_by":0,"name":"René Pernas","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA3ElEQVRIie2PsQrCMBCGAwfNcsU1YLGvUOngw7goDi4N+gChBAp1KboK9V2sFOLiIzhUHFzcCo5iWxcRSTs65BvyZ7iP+48Qg+GPGdCoSdFd8TFvUnVXpknWJLSPjtJIlUsRzhNKC0BhjQldFVrFOatZulU5TwA9QOVwiSdPqzAW+IBWxveABGxpcckCfTHGFiXgM5wjVMVsCVy6N32xaguAHcMEgXhvhZGWYo7ywV7nw/qWw04pHmPQovSjK+AjdLF3vBR3IfiGHvXFCPv4Z/Vj6ee/FIPBYDD85AV0bDog77r3DQAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0002-6170-7531","institution":"Universidad Carlos III de Madrid","correspondingAuthor":true,"prefix":"","firstName":"René","middleName":"","lastName":"Pernas","suffix":""},{"id":266361626,"identity":"691c977d-25aa-4f11-aee7-af3bb3cb9ada","order_by":1,"name":"Penglin Gao","email":"","orcid":"https://orcid.org/0000-0002-8473-2844","institution":"Shanghai Jiao Tong University","correspondingAuthor":false,"prefix":"","firstName":"Penglin","middleName":"","lastName":"Gao","suffix":""},{"id":266361627,"identity":"5597228b-27e1-43d4-940a-ccb67a269fc0","order_by":2,"name":"Zhiwang Zhang","email":"","orcid":"https://orcid.org/0000-0002-0287-0224","institution":"Nanjing University","correspondingAuthor":false,"prefix":"","firstName":"Zhiwang","middleName":"","lastName":"Zhang","suffix":""},{"id":266361628,"identity":"93efe217-6836-48dc-9651-88bb393268e0","order_by":3,"name":"Johan Chistensen","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Johan","middleName":"","lastName":"Chistensen","suffix":""}],"badges":[],"createdAt":"2023-12-20 10:36:22","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3781357/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3781357/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1038/s43246-024-00618-w","type":"published","date":"2024-08-28T04:00:00+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":63439852,"identity":"bfa15853-378f-4ffe-8575-f86b22a7b544","added_by":"auto","created_at":"2024-08-28 07:11:11","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":6369365,"visible":true,"origin":"","legend":"Article File","description":"","filename":"ManuscriptTopDisclination.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3781357/v1_covered_dfa1c9a1-0eca-4fc5-831b-687f4404f9fa.pdf"}],"financialInterests":"There is \u003cb\u003eNO\u003c/b\u003e Competing Interest.","formattedTitle":"Investigating topological valley disclinations using multiple scattering and null-field theories","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"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":"[email protected]","identity":"nature-portfolio","isNatureJournal":true,"hasQc":false,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"","title":"Nature Portfolio","twitterHandle":"","acdcEnabled":false,"dfaEnabled":false,"editorialSystem":"ejp","reportingPortfolio":"","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-3781357/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3781357/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Surprisingly, topological metamaterials became a frontier topic in wave physics. 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