Boundary Gauge Field-Induced Topological Hinge States in Photonic Metamaterials | 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 Boundary Gauge Field-Induced Topological Hinge States in Photonic Metamaterials Shaojie Ma, Changsheng He, Liang Zhao, Lei Zhou, Shuang Zhang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5821179/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 Higher-order topological insulators (HOTIs) can support boundary states at least two dimensions lower than the bulk, attracting intensive attention from both fundamental science and application sides. Lattice-based tight-binding models such as Benalcazar-Bernevig-Hughes model have driven significant advancements in realizing HOTIs across various physical systems. Here, beyond lattice model, we demonstrate that a cylinder with an arbitrary cross section, composed of a homogeneous electromagnetic medium featuring nontrivial second Chern numbers c2 = ±1 in a synthetic five-dimensional space, can exhibit topologically protected HOTI-type hinge states in three-dimensional laboratory space. Interestingly, this hinge state is essentially a chiral zero mode arising from the interaction between Weyl arc surface states, guaranteed by a nontrivial c2, and an effective magnetic field induced by the curvature of the cylinder surface. We experimentally realize such a cylinder using a photonic metamaterial and confirm the existence of hinge states via microwave near-field measurements. Our work introduces the concept of boundary gauge fields and establishes the link between synthetic-space c2 and real-space HOTI states, thereby generalizing HOTIs to corner-less systems. Physical sciences/Physics/Optical physics/Nanophotonics and plasmonics Physical sciences/Materials science/Materials for optics/Metamaterials Full Text Additional Declarations There is NO Competing Interest. Supplementary Files SIHOTIVerFinal.docx Supplementary Materials 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. 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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-5821179","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":406791257,"identity":"df5704ab-2d0c-4c59-ab4c-1ab5c4096839","order_by":0,"name":"Shaojie Ma","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA80lEQVRIiWNgGAWjYDACCRA2ABLsjQ8YeMBCCcRq4TlsQIIWCCOZSC3ys5sfPrAosInmn/mYTeJNzR0GfvYcA4afO3BrMbhzzNhAwiAtd8btZDbJOceeMUj2vDFg7D2DR4tEgpmEhMHh3Ibb+cekedgOMxjcyDFgZmzD47AZ6d+AWv7nzr95mE2a599hBntCWhhu5IBsOZC74QYzmzRvG9AWCQJagM4oBvolOXfjmWRmy7l9h3kkzjwrONiL32EbH0v8scudd/ww44033w7L8bcnb3zwE5/DgIBZAokDjpoD+DUwMDB+IKRiFIyCUTAKRjYAAAEYT6aic5uTAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0002-3534-1599","institution":"Fudan University","correspondingAuthor":true,"prefix":"","firstName":"Shaojie","middleName":"","lastName":"Ma","suffix":""},{"id":406791258,"identity":"261cceb8-2e00-416d-9312-9d1bb1ade41d","order_by":1,"name":"Changsheng He","email":"","orcid":"","institution":"Fudan University","correspondingAuthor":false,"prefix":"","firstName":"Changsheng","middleName":"","lastName":"He","suffix":""},{"id":406791259,"identity":"04df91b4-8e54-4573-8bba-ba6fd61e59ca","order_by":2,"name":"Liang Zhao","email":"","orcid":"","institution":"Fudan University","correspondingAuthor":false,"prefix":"","firstName":"Liang","middleName":"","lastName":"Zhao","suffix":""},{"id":406791260,"identity":"f42ff6a2-3052-41d0-ae00-156dbe1a2869","order_by":3,"name":"Lei Zhou","email":"","orcid":"","institution":"Fudan University","correspondingAuthor":false,"prefix":"","firstName":"Lei","middleName":"","lastName":"Zhou","suffix":""},{"id":406791261,"identity":"d7930e9e-ee4b-4843-881f-2bd8fe707b8a","order_by":4,"name":"Shuang Zhang","email":"","orcid":"https://orcid.org/0000-0003-4556-2333","institution":"The University of Hong Kong","correspondingAuthor":false,"prefix":"","firstName":"Shuang","middleName":"","lastName":"Zhang","suffix":""}],"badges":[],"createdAt":"2025-01-13 15:32:30","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5821179/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5821179/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":74881371,"identity":"23ea4032-50a7-4586-ad2a-015cbc423342","added_by":"auto","created_at":"2025-01-28 02:14:00","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":846008,"visible":true,"origin":"","legend":"","description":"","filename":"HOTIinYMMVerFinal.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5821179/v1_covered_2b7961da-5e93-47f9-8502-2dc270e4daf0.pdf"},{"id":74880684,"identity":"762ab9d3-98ea-4790-b726-dae50c9fd40b","added_by":"auto","created_at":"2025-01-28 01:57:58","extension":"docx","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":10751790,"visible":true,"origin":"","legend":"Supplementary Materials","description":"","filename":"SIHOTIVerFinal.docx","url":"https://assets-eu.researchsquare.com/files/rs-5821179/v1/02491871837fe9e1c0ed59e1.docx"}],"financialInterests":"There is \u003cb\u003eNO\u003c/b\u003e Competing Interest.","formattedTitle":"Boundary Gauge Field-Induced Topological Hinge States in Photonic Metamaterials","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
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