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dc.contributor.authorGusliyenko, Kostyantyn
dc.date.accessioned2022-11-21T15:02:16Z
dc.date.available2022-11-21T15:02:16Z
dc.date.issued2022-07-19
dc.identifier.citationMagnetism 2(3) : 239-250 (2022)es_ES
dc.identifier.issn2673-8724
dc.identifier.urihttp://hdl.handle.net/10810/58471
dc.description.abstractThe nonuniform magnetic vortex gyrotropic oscillations along the cylindrical dot thickness were calculated. A generalized Thiele equation was used for describing the vortex core motion including magnetostatic and exchange forces. The magnetostatic interaction was accounted for in a local form. This allowed reducing the Thiele equation of motion to the Schrödinger differential equation and analytically determining the spin eigenmode spatial profiles and eigenfrequencies using the Liouville–Green method for the high-frequency modes. The mapping of the Schrödinger equation to the Mathieu equation was used for the low-frequency gyrotropic mode. The lowest-frequency gyrotropic mode transformed to the dot faces localized mode, increasing the dot thickness. The vortex gyrotropic modes are described for a wide range of the dot thicknesses according to the concept of the turning points in the magnetostatic potential. This approach allows treating the vortex localized modes (turning points) and nonlocalized modes within a unified picture.es_ES
dc.description.sponsorshipThe author acknowledges support by IKERBASQUE (the Basque Foundation for Science). The research was funded in part by the Spanish Ministry of Science and Innovation grant PID2019-108075RB-C33 /AEI/10.13039/501100011033 and by the Norwegian Financial Mechanism 2014–2021 trough project UMO-2020/37/K/ST3/02450.es_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.relationinfo:eu-repo/grantAgreement/MICINN/PID2019-108075RB-C33es_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjecttopological magnetismes_ES
dc.subjecttopological spin textureses_ES
dc.subjectskyrmionses_ES
dc.titleMagnetic Vortex Core String Gyrotropic Oscillations in Thick Cylindrical Dotses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.date.updated2022-09-22T12:03:16Z
dc.rights.holder© 2022 by the authors.Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).es_ES
dc.relation.publisherversionhttps://www.mdpi.com/2673-8724/2/3/18es_ES
dc.identifier.doi10.3390/magnetism2030018


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© 2022 by the authors.Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).
Except where otherwise noted, this item's license is described as © 2022 by the authors.Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).