Chern Vector Protected Three-dimensional Quantized Hall Effect

Chern Vector Protected Three-dimensional Quantized Hall Effect | 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 Chern Vector Protected Three-dimensional Quantized Hall Effect Hua Jiang, Zhi-Qiang Zhang, Shu-guang Cheng, Hongfang Liu, Hailong Li, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6493819/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 Recently, Chern vector with arbitrary formula C=(Cyz, Cxz, Cxy) in three-dimensional systems has been experimentally realized [Nature 609, 925 (2022)]. Motivated by these progresses, we propose the Chern vector C = (0, m, n)-protected quantized Hall effect in three-dimensional systems. By examining samples with Chern vector C = (0, m, n) and dimensions Ly and Lz along the y- and z-directions, two kinds of edge states exist on different surfaces. The sum of transmission coefficients contributed by different edge states is quantized as (mLy +nLz), although they are individually fragile under weak disorder. Moreover, the quantized summation can be directly measured by the Hall conductance, such as Gxy and Gxz, which are expressed by ±(mLy+nLz)e2/h. These Hall conductances exhibit a clear dependency on sample dimensions, illuminating the intrinsic three-dimensional nature. Finally, we propose potential candidates for experimental realization. Physical sciences/Physics/Condensed-matter physics/Quantum Hall Physical sciences/Materials science/Condensed-matter physics/Topological matter Full Text Additional Declarations There is NO Competing Interest. Supplementary Files ChernVectorQHSM.pdf Supplementary Information for “Chern Vector Protected Three-dimensional Quantized Hall Effect” 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-6493819","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":457157010,"identity":"1562dae6-581d-49ea-9415-e22a0be0a2ad","order_by":0,"name":"Hua Jiang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABBElEQVRIiWNgGAWjYBACxmYQ0QAkJBgYH1QwMINFJYjVwmxwhhgtEH0QLWwSRGlhbmd+9vDrjsPy5tI9ZhUH26zlzRmYD97mYbDLw+0wNnNj2TOHDXfOOWN242BbuuHOBrZkax6G5GI8fjGTlmw7zLjhRo7Z7Y8gxgEeM2kehgOJDTi1sH8DabEHaSk4CGIc4P9GQAuPmSTQ8ESQFoaDIMYBHjZCWsqkGdvSk3fOSCuWOHAuPXnDYTZjyzkGyTi1GPYf3yb5s83adrtE8sYPB8qsbTccb354402FHW4tQAlmHiDDgIHDACIEjhoDHOqBQB7kuB9gNewPcCsbBaNgFIyCEQ0AeQxb2iqd+q8AAAAASUVORK5CYII=","orcid":"https://orcid.org/0000-0002-8626-735X","institution":"Fudan University","correspondingAuthor":true,"prefix":"","firstName":"Hua","middleName":"","lastName":"Jiang","suffix":""},{"id":457157011,"identity":"93e4e78c-d12b-48d1-9fc5-fd187b5c89d1","order_by":1,"name":"Zhi-Qiang Zhang","email":"","orcid":"","institution":"School of Physical Science and Technology, Soochow University, Suzhou 215006","correspondingAuthor":false,"prefix":"","firstName":"Zhi-Qiang","middleName":"","lastName":"Zhang","suffix":""},{"id":457157012,"identity":"18e836bc-0a07-41f8-871e-9a41c7baadbe","order_by":2,"name":"Shu-guang Cheng","email":"","orcid":"","institution":"Department of Physics, Northwest University, Xi'an 710069","correspondingAuthor":false,"prefix":"","firstName":"Shu-guang","middleName":"","lastName":"Cheng","suffix":""},{"id":457157013,"identity":"ec8a2f11-b829-422b-acd2-cb5ed0e41995","order_by":3,"name":"Hongfang Liu","email":"","orcid":"https://orcid.org/0009-0002-1183-7183","institution":"Soochow University","correspondingAuthor":false,"prefix":"","firstName":"Hongfang","middleName":"","lastName":"Liu","suffix":""},{"id":457157014,"identity":"836fdb21-6c0a-4afa-8a84-65e45fe7d6d9","order_by":4,"name":"Hailong Li","email":"","orcid":"","institution":"Fudan University","correspondingAuthor":false,"prefix":"","firstName":"Hailong","middleName":"","lastName":"Li","suffix":""},{"id":457157015,"identity":"217e76e6-b2af-4086-806a-88da49fc64a7","order_by":5,"name":"X. 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Motivated by these progresses, we propose the Chern vector C = (0, m, n)-protected quantized Hall effect in three-dimensional systems. By examining samples with Chern vector C = (0, m, n) and dimensions Ly and Lz along the y- and z-directions, two kinds of edge states exist on different surfaces. The sum of transmission coefficients contributed by different edge states is quantized as (mLy +nLz), although they are individually fragile under weak disorder. Moreover, the quantized summation can be directly measured by the Hall conductance, such as Gxy and Gxz, which are expressed by ±(mLy+nLz)e2/h. These Hall conductances exhibit a clear dependency on sample dimensions, illuminating the intrinsic three-dimensional nature. 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