Splitting of spin-wave modes in thin films with arrays of periodic perturbations: theory and experiment
A joint theoretical–experimental study focusing on the description of the ferromagnetic resonance response of thin films in the presence of periodic perturbations introduced on the upper film surface is presented. From the viewpoint of theory, these perturbations may exist in the form of any kind of...
Main Authors: | , , , , , , , , |
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Format: | Article |
Language: | English |
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IOP Publishing
2014-01-01
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Series: | New Journal of Physics |
Online Access: | https://doi.org/10.1088/1367-2630/16/2/023015 |
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author | R A Gallardo A Banholzer K Wagner M Körner K Lenz M Farle J Lindner J Fassbender P Landeros |
author_facet | R A Gallardo A Banholzer K Wagner M Körner K Lenz M Farle J Lindner J Fassbender P Landeros |
author_sort | R A Gallardo |
collection | DOAJ |
description | A joint theoretical–experimental study focusing on the description of the ferromagnetic resonance response of thin films in the presence of periodic perturbations introduced on the upper film surface is presented. From the viewpoint of theory, these perturbations may exist in the form of any kind of one- or two-dimensional rectangular defect arrays patterned onto one surface of the magnetic film. Indeed, the defects may be pits or bumps, or ion-implanted regions with a lower saturation magnetization. The complete set of response functions, given by the components of the frequency and wave-vector dependent dynamic magnetic susceptibility tensor of the film exposed to microwave excitation, are provided and are used to explain the experimental data. This allows us to obtain the response of the system due to microwave absorption, from which the zero wave-vector spin-wave modes in the field-frequency spectra, including their intensity, are calculated. Explicit calculations for periodic defects featuring the shape of stripes, dots and rectangles are given in detail, as well as experimental results for stripe-like defects prepared either by topographical depressions or by ion implantation of thin magnetic films. The excellent agreement of the theoretical and experimental results manifests the validity of the presented model. |
first_indexed | 2024-03-12T16:49:35Z |
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id | doaj.art-621d928d6d904c29aa5d5a7b6453e1c6 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:49:35Z |
publishDate | 2014-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
spelling | doaj.art-621d928d6d904c29aa5d5a7b6453e1c62023-08-08T11:23:23ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116202301510.1088/1367-2630/16/2/023015Splitting of spin-wave modes in thin films with arrays of periodic perturbations: theory and experimentR A Gallardo0A Banholzer1K Wagner2M Körner3K Lenz4M Farle5J Lindner6J Fassbender7P Landeros8Departamento de Física, Universidad Técnica Federico Santa María , Avenida España 1680, 2390123 Valparaíso, ChileHelmholtz-Zentrum Dresden-Rossendorf, Institute of Ion Beam Physics and Materials Research , Bautzner Landstraße 400, D-01328 Dresden, Germany; Technische Universität Dresden , D-01062 Dresden, GermanyFakultät für Physik and Center for Nanointegration Duisburg-Essen (CeNIDE), Universität Duisburg-Essen , Lotharstraße 1, D-47048 Duisburg, GermanyHelmholtz-Zentrum Dresden-Rossendorf, Institute of Ion Beam Physics and Materials Research , Bautzner Landstraße 400, D-01328 Dresden, Germany; Technische Universität Dresden , D-01062 Dresden, GermanyHelmholtz-Zentrum Dresden-Rossendorf, Institute of Ion Beam Physics and Materials Research , Bautzner Landstraße 400, D-01328 Dresden, GermanyFakultät für Physik and Center for Nanointegration Duisburg-Essen (CeNIDE), Universität Duisburg-Essen , Lotharstraße 1, D-47048 Duisburg, GermanyHelmholtz-Zentrum Dresden-Rossendorf, Institute of Ion Beam Physics and Materials Research , Bautzner Landstraße 400, D-01328 Dresden, GermanyHelmholtz-Zentrum Dresden-Rossendorf, Institute of Ion Beam Physics and Materials Research , Bautzner Landstraße 400, D-01328 Dresden, Germany; Technische Universität Dresden , D-01062 Dresden, GermanyDepartamento de Física, Universidad Técnica Federico Santa María , Avenida España 1680, 2390123 Valparaíso, ChileA joint theoretical–experimental study focusing on the description of the ferromagnetic resonance response of thin films in the presence of periodic perturbations introduced on the upper film surface is presented. From the viewpoint of theory, these perturbations may exist in the form of any kind of one- or two-dimensional rectangular defect arrays patterned onto one surface of the magnetic film. Indeed, the defects may be pits or bumps, or ion-implanted regions with a lower saturation magnetization. The complete set of response functions, given by the components of the frequency and wave-vector dependent dynamic magnetic susceptibility tensor of the film exposed to microwave excitation, are provided and are used to explain the experimental data. This allows us to obtain the response of the system due to microwave absorption, from which the zero wave-vector spin-wave modes in the field-frequency spectra, including their intensity, are calculated. Explicit calculations for periodic defects featuring the shape of stripes, dots and rectangles are given in detail, as well as experimental results for stripe-like defects prepared either by topographical depressions or by ion implantation of thin magnetic films. The excellent agreement of the theoretical and experimental results manifests the validity of the presented model.https://doi.org/10.1088/1367-2630/16/2/023015 |
spellingShingle | R A Gallardo A Banholzer K Wagner M Körner K Lenz M Farle J Lindner J Fassbender P Landeros Splitting of spin-wave modes in thin films with arrays of periodic perturbations: theory and experiment New Journal of Physics |
title | Splitting of spin-wave modes in thin films with arrays of periodic perturbations: theory and experiment |
title_full | Splitting of spin-wave modes in thin films with arrays of periodic perturbations: theory and experiment |
title_fullStr | Splitting of spin-wave modes in thin films with arrays of periodic perturbations: theory and experiment |
title_full_unstemmed | Splitting of spin-wave modes in thin films with arrays of periodic perturbations: theory and experiment |
title_short | Splitting of spin-wave modes in thin films with arrays of periodic perturbations: theory and experiment |
title_sort | splitting of spin wave modes in thin films with arrays of periodic perturbations theory and experiment |
url | https://doi.org/10.1088/1367-2630/16/2/023015 |
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