Thermal dependent ferroelectric Cochran’s frequency and dielectric properties in arsenate type family of KDP crystal

Thermal dependent ferroelectric Cochran’s frequency and dielectric properties in arsenate type family of KDP crystal | 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 Thermal dependent ferroelectric Cochran’s frequency and dielectric properties in arsenate type family of KDP crystal Kuldeep Kumar Kuldeep, Trilok Chandra Upadhyay Trilok This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2706352/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 9 You are reading this latest preprint version Abstract Phonon anharmonic interactions up to the fourth order, and four body interaction terms, with the consideration of the extra spin-lattice term, direct spin-spin interaction terms, and four spin coupling are introduced into the earlier modified Ising type of pseudo-spin model Hamiltonian to account for the investigation of dielectric properties in arsenate type family of KDP crystals. Cochran’s mode frequency and other ferroelectric properties like energy shift, and width, electrical permittivity, spontaneous polarization, and loss tangent are investigated, in the vicinity of 𝑇𝑐. We have expressed the equation of Dyson and decoupled the correlation function with the consideration of Zubarev’s statistical article and two-time temperature-dependent Green’s function approach to deduct the theoretical derivation of the above ferroelectric parameter. Thermal variations of and order parameters are also introduced here, which is responsible for the first-order phase transition phenomenon. A comparison of theoretical findings has been made with experimental findings reported by earlier authors. Good agreement is observed for the investigation of the above ferroelectric properties in CsH 2 AsO 4 , RbH 2 AsO 4 , and KH 2 AsO 4 , crystals. Dyson’s Equation Four body Coupling Phase Transition Anharmonicity and Spontaneous Polarization Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 01 Nov, 2023 Reviews received at journal 10 Oct, 2023 Reviewers agreed at journal 14 Sep, 2023 Reviewers agreed at journal 18 Apr, 2023 Reviewers agreed at journal 22 Mar, 2023 Reviewers invited by journal 22 Mar, 2023 Editor assigned by journal 21 Mar, 2023 Submission checks completed at journal 20 Mar, 2023 First submitted to journal 17 Mar, 2023 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. 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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-2706352","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":184949077,"identity":"f2cd8ba3-f56f-4189-b516-4077a237bbae","order_by":0,"name":"Kuldeep Kumar Kuldeep","email":"data:image/png;base64,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","orcid":"","institution":"Department of Physics Ramjas College University of Delhi-110007","correspondingAuthor":true,"prefix":"","firstName":"Kuldeep","middleName":"Kumar","lastName":"Kuldeep","suffix":""},{"id":184949078,"identity":"75d430a9-5d49-4018-b913-399da9123fca","order_by":1,"name":"Trilok Chandra Upadhyay Trilok","email":"","orcid":"","institution":"Hemwati Nandan Bahuguna Garhwal University","correspondingAuthor":false,"prefix":"","firstName":"Trilok","middleName":"Chandra Upadhyay","lastName":"Trilok","suffix":""}],"badges":[],"createdAt":"2023-03-17 21:44:14","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2706352/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2706352/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":34682111,"identity":"9e22c352-8c63-44d1-bde6-ef1d1d833169","added_by":"auto","created_at":"2023-03-23 03:09:33","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":739215,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2706352/v1_covered.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Thermal dependent ferroelectric Cochran’s frequency and dielectric properties in arsenate type family of KDP crystal","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":"journal-of-low-temperature-physics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"jltp","sideBox":"Learn more about [Journal of Low Temperature Physics](http://link.springer.com/journal/10909)","snPcode":"10909","submissionUrl":"https://submission.nature.com/new-submission/10909/3","title":"Journal of Low Temperature Physics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Dyson’s Equation, Four body Coupling, Phase Transition, Anharmonicity, and Spontaneous Polarization","lastPublishedDoi":"10.21203/rs.3.rs-2706352/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2706352/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003ePhonon anharmonic interactions up to the fourth order, and four body interaction terms, with the consideration of the extra spin-lattice term, direct spin-spin interaction terms, and four spin coupling are introduced into the earlier modified Ising type of pseudo-spin model Hamiltonian to account for the investigation of dielectric properties in arsenate type family of KDP crystals. Cochran’s mode frequency and other ferroelectric properties like energy shift, and width, electrical permittivity, spontaneous polarization, and loss tangent are investigated, in the vicinity of 𝑇𝑐. We have expressed the equation of Dyson and decoupled the correlation function with the consideration of Zubarev’s statistical article and two-time temperature-dependent Green’s function approach to deduct the theoretical derivation of the above ferroelectric parameter. Thermal variations of \u0026lt;𝑆\u003csup\u003e𝑥\u003c/sup\u003e\u0026gt; and \u0026lt;𝑆\u003csup\u003e𝑧\u003c/sup\u003e\u0026gt; order parameters are also introduced here, which is responsible for the first-order phase transition phenomenon. A comparison of theoretical findings has been made with experimental findings reported by earlier authors. 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