Multifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange coupling

Detalhes bibliográficos
Autor(a) principal: Bezerra, Claudionor Gomes
Data de Publicação: 2002
Outros Autores: Cottam, Michael G.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
DOI: https://doi.org/10.1016/S0378-4371(02)00604-0
Texto Completo: https://repositorio.ufrn.br/handle/123456789/45043
https://doi.org/10.1016/S0378-4371(02)00604-0
Resumo: The multifractal properties are investigated for the bulk spin wave bands of quasiperiodic magnetic superlattices arranged according to the Fibonacci sequence. The superlattices are considered to be composed of layers of two simple cubic ferromagnetic materials. The layers are characterized by a bulk bilinear exchange coupling and they interact through an additional biquadratic exchange coupling at the interfaces. The function f(α), which describes the spectrum of singularities, is calculated for different values of the dimensionless in-plane wave vector kxa and ratio R=Jbq/JblI between the biquadratic and interfacial bilinear exchange couplings. Our results show the effects of the biquadratic exchange coupling on the bulk band structure, which becomes more disordered as the ratio R increases
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spelling Bezerra, Claudionor GomesCottam, Michael G.2021-11-26T17:09:19Z2021-11-26T17:09:19Z2002-06-01BEZERRA, Claudionor Gomes.; COTTAM, Michael G.. Multifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange coupling. Physica A: Statistical Mechanics and its Applications, [S.L.], v. 309, n. 1-2, p. 121-130, jun. 2002. Elsevier BV. http://dx.doi.org/10.1016/s0378-4371(02)00604-0. Disponível em: https://www.sciencedirect.com/science/article/abs/pii/S0378437102006040?via%3Dihub. Acesso em: 26 nov. 2021.https://repositorio.ufrn.br/handle/123456789/45043https://doi.org/10.1016/S0378-4371(02)00604-0Elsevier B.V.QuasicrystalsExchange coupling-biquadraticMagnetic superlatticesMultifractalsMultifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange couplinginfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleThe multifractal properties are investigated for the bulk spin wave bands of quasiperiodic magnetic superlattices arranged according to the Fibonacci sequence. The superlattices are considered to be composed of layers of two simple cubic ferromagnetic materials. The layers are characterized by a bulk bilinear exchange coupling and they interact through an additional biquadratic exchange coupling at the interfaces. The function f(α), which describes the spectrum of singularities, is calculated for different values of the dimensionless in-plane wave vector kxa and ratio R=Jbq/JblI between the biquadratic and interfacial bilinear exchange couplings. Our results show the effects of the biquadratic exchange coupling on the bulk band structure, which becomes more disordered as the ratio R increasesengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessLICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/45043/2/license.txte9597aa2854d128fd968be5edc8a28d9MD52ORIGINALMultifractalSpectraOfSpinWaves_bezerra_2002.pdfMultifractalSpectraOfSpinWaves_bezerra_2002.pdfapplication/pdf135490https://repositorio.ufrn.br/bitstream/123456789/45043/1/MultifractalSpectraOfSpinWaves_bezerra_2002.pdf26251b23321631d07b506462254b5fd6MD51123456789/450432021-11-26 14:09:19.694oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2021-11-26T17:09:19Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Multifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange coupling
title Multifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange coupling
spellingShingle Multifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange coupling
Bezerra, Claudionor Gomes
Quasicrystals
Exchange coupling-biquadratic
Magnetic superlattices
Multifractals
title_short Multifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange coupling
title_full Multifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange coupling
title_fullStr Multifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange coupling
title_full_unstemmed Multifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange coupling
title_sort Multifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange coupling
author Bezerra, Claudionor Gomes
author_facet Bezerra, Claudionor Gomes
Cottam, Michael G.
author_role author
author2 Cottam, Michael G.
author2_role author
dc.contributor.author.fl_str_mv Bezerra, Claudionor Gomes
Cottam, Michael G.
dc.subject.por.fl_str_mv Quasicrystals
Exchange coupling-biquadratic
Magnetic superlattices
Multifractals
topic Quasicrystals
Exchange coupling-biquadratic
Magnetic superlattices
Multifractals
description The multifractal properties are investigated for the bulk spin wave bands of quasiperiodic magnetic superlattices arranged according to the Fibonacci sequence. The superlattices are considered to be composed of layers of two simple cubic ferromagnetic materials. The layers are characterized by a bulk bilinear exchange coupling and they interact through an additional biquadratic exchange coupling at the interfaces. The function f(α), which describes the spectrum of singularities, is calculated for different values of the dimensionless in-plane wave vector kxa and ratio R=Jbq/JblI between the biquadratic and interfacial bilinear exchange couplings. Our results show the effects of the biquadratic exchange coupling on the bulk band structure, which becomes more disordered as the ratio R increases
publishDate 2002
dc.date.issued.fl_str_mv 2002-06-01
dc.date.accessioned.fl_str_mv 2021-11-26T17:09:19Z
dc.date.available.fl_str_mv 2021-11-26T17:09:19Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.citation.fl_str_mv BEZERRA, Claudionor Gomes.; COTTAM, Michael G.. Multifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange coupling. Physica A: Statistical Mechanics and its Applications, [S.L.], v. 309, n. 1-2, p. 121-130, jun. 2002. Elsevier BV. http://dx.doi.org/10.1016/s0378-4371(02)00604-0. Disponível em: https://www.sciencedirect.com/science/article/abs/pii/S0378437102006040?via%3Dihub. Acesso em: 26 nov. 2021.
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/handle/123456789/45043
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1016/S0378-4371(02)00604-0
identifier_str_mv BEZERRA, Claudionor Gomes.; COTTAM, Michael G.. Multifractal spectra of spin waves in Fibonacci magnetic superlattices with biquadratic exchange coupling. Physica A: Statistical Mechanics and its Applications, [S.L.], v. 309, n. 1-2, p. 121-130, jun. 2002. Elsevier BV. http://dx.doi.org/10.1016/s0378-4371(02)00604-0. Disponível em: https://www.sciencedirect.com/science/article/abs/pii/S0378437102006040?via%3Dihub. Acesso em: 26 nov. 2021.
url https://repositorio.ufrn.br/handle/123456789/45043
https://doi.org/10.1016/S0378-4371(02)00604-0
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRN
instname:Universidade Federal do Rio Grande do Norte (UFRN)
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reponame_str Repositório Institucional da UFRN
collection Repositório Institucional da UFRN
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https://repositorio.ufrn.br/bitstream/123456789/45043/1/MultifractalSpectraOfSpinWaves_bezerra_2002.pdf
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