{"id":307,"date":"2021-01-15T13:34:31","date_gmt":"2021-01-15T18:34:31","guid":{"rendered":"https:\/\/sciences.ucf.edu\/physics\/afmspin\/?p=307"},"modified":"2021-09-03T14:01:59","modified_gmt":"2021-09-03T18:01:59","slug":"theory-of-three-magnon-interaction-in-a-vortex-state-magnetic-nanodot","status":"publish","type":"post","link":"https:\/\/sciences.ucf.edu\/physics\/afmspin\/theory-of-three-magnon-interaction-in-a-vortex-state-magnetic-nanodot\/","title":{"rendered":"Theory of three-magnon interaction in a vortex-state magnetic nanodot"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"307\" class=\"elementor elementor-307\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9f18c59 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9f18c59\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5ab9698\" data-id=\"5ab9698\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-69d4fa7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"69d4fa7\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-354b277\" data-id=\"354b277\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-38abfd4 elementor-widget elementor-widget-image\" data-id=\"38abfd4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"690\" height=\"592\" src=\"https:\/\/sciences.ucf.edu\/physics\/afmspin\/wp-content\/uploads\/sites\/31\/2021\/09\/three-magnon-vortex.jpg\" class=\"attachment-large size-large wp-image-308\" alt=\"Graphical representations of frequencies, azimuthal numbers, and magnetic fields. Diagrams include a disk with magnetic vectors, a plot of frequency vs. azimuthal number, and circular patterns showing different modes.\" srcset=\"https:\/\/sciences.ucf.edu\/physics\/afmspin\/wp-content\/uploads\/sites\/31\/2021\/09\/three-magnon-vortex.jpg 705w, https:\/\/sciences.ucf.edu\/physics\/afmspin\/wp-content\/uploads\/sites\/31\/2021\/09\/three-magnon-vortex-300x257.jpg 300w\" sizes=\"(max-width: 690px) 100vw, 690px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-171699a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"171699a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-b6a46df\" data-id=\"b6a46df\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-82c1dda elementor-widget elementor-widget-text-editor\" data-id=\"82c1dda\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"color: #000000\">We use vector Hamiltonian formalism (VHF) to study theoretically three-magnon parametric interaction (or three-wave splitting) in a magnetic disk existing in a magnetic vortex ground state. The three-wave splitting in a disk is found to obey two selection rules: (i) conservation of the total azimuthal number of the interacting spin-wave modes, and (ii) inequality of the radial numbers of the resultant modes, if the directly excited original mode is radially symmetric (i.e., if the azimuthal number of the directly excited mode is <em>m <\/em>= 0). The selection rule (ii), however, is relaxed in sufficiently small magnetic disks, due to the influence of the vortex core. We also found that the efficiency of the three-wave splitting of the directly excited mode strongly depends on the azimuthal and radial mode numbers of the resultant modes. This property becomes qualitatively important in the case when several different splitting channels (several pairs of resultant modes) approximately satisfy the resonance condition for the splitting. The good agreement of the VHF analytic calculations with the experiment and micromagnetic simulations proves the capability of the VHF formalism to predict the actual experimentally realized splitting channels, and the magnitude of the driving field thresholds for the three-wave splitting. This work has been published in PRB and can be accessed <a href=\"https:\/\/journals.aps.org\/prb\/abstract\/10.1103\/PhysRevB.103.014413\">here<\/a>.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>We use vector Hamiltonian formalism (VHF) to study theoretically three-magnon parametric interaction (or three-wave splitting) in a magnetic disk existing in a magnetic vortex ground state. The three-wave splitting in <a class=\"more-link\" href=\"https:\/\/sciences.ucf.edu\/physics\/afmspin\/theory-of-three-magnon-interaction-in-a-vortex-state-magnetic-nanodot\/\">Continue Reading &rarr;<\/a><\/p>\n","protected":false},"author":61,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[7],"tags":[],"class_list":["post-307","post","type-post","status-publish","format-standard","hentry","category-publications"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Theory of three-magnon interaction in a vortex-state magnetic nanodot -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/sciences.ucf.edu\/physics\/afmspin\/theory-of-three-magnon-interaction-in-a-vortex-state-magnetic-nanodot\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Theory of three-magnon interaction in a vortex-state magnetic nanodot -\" \/>\n<meta property=\"og:description\" content=\"We use vector Hamiltonian formalism (VHF) to study theoretically three-magnon parametric interaction (or three-wave splitting) in a magnetic disk existing in a magnetic vortex ground state. The three-wave splitting in Continue Reading &rarr;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/sciences.ucf.edu\/physics\/afmspin\/theory-of-three-magnon-interaction-in-a-vortex-state-magnetic-nanodot\/\" \/>\n<meta property=\"article:published_time\" content=\"2021-01-15T18:34:31+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-09-03T18:01:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/sciences.ucf.edu\/physics\/afmspin\/wp-content\/uploads\/sites\/31\/2021\/09\/three-magnon-vortex.jpg\" \/>\n<meta name=\"author\" content=\"Gyan Khatri\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Gyan Khatri\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" 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