Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/jspui/handle/123456789/30174 |
Resumo: | In this work we carry out a theoretical analysis of the spectra of magnons in quasiperiodic magnonic crystals arranged in accordance with generalized Fibonacci sequences in the exchange regime, by using a model based on a transfer-matrix method together random-phase approximation (RPA). The generalized Fibonacci sequences are characterized by an irrational parameter o(p,q), which rules the physical properties of the system. We discussed the magnonic fractal spectra for first three generalizations, i.e., silver, bronze and nickel mean. By varying the generation number, we have found that the fragmentation process of allowed bands makes possible the emergence of new allowed magnonic bulk bands in spectra regions that were magnonic band gaps before, such as which occurs in doped semiconductor devices. This interesting property arises in one-dimensional magnonic quasicrystals fabricated in accordance to quasiperiodic sequences, without the need to introduce some deferent atomic layer or defect in the system. We also make a qualitative and quantitative investigations on these magnonic spectra by analyzing the distribution and magnitude of allowed bulk bands in function of the generalized Fibonacci number Fn and as well as how they scale as a function of the number of generations of the sequences, respectively |
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Costa, Carlos Humberto OliveiraVasconcelos, Manoel Silva deBarbosa, P.H.R.Barbosa Filho, F.F.2020-09-23T12:09:43Z2020-09-23T12:09:43Z2012COSTA, C.H.O.; VASCONCELOS, M.s.; BARBOSA, P.H.R.; BARBOSA FILHO, F.F.. Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals. Journal of Magnetism and Magnetic Materials, [s.l.], v. 324, n. 14, p. 2315-2323, jul. 2012. Disponível em: https://www.sciencedirect.com/science/article/pii/S0304885312002284?via%3Dihub. Acesso em: 08 set. 2020. http://dx.doi.org/10.1016/j.jmmm.2012.02.123.0304-8853https://repositorio.ufrn.br/jspui/handle/123456789/3017410.1016/j.jmmm.2012.02.123ElsevierAttribution 3.0 Brazilhttp://creativecommons.org/licenses/by/3.0/br/info:eu-repo/semantics/openAccessSpin waveMagnonic crystalQuasiperiodic structureFractal spectrumFractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystalsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleIn this work we carry out a theoretical analysis of the spectra of magnons in quasiperiodic magnonic crystals arranged in accordance with generalized Fibonacci sequences in the exchange regime, by using a model based on a transfer-matrix method together random-phase approximation (RPA). The generalized Fibonacci sequences are characterized by an irrational parameter o(p,q), which rules the physical properties of the system. We discussed the magnonic fractal spectra for first three generalizations, i.e., silver, bronze and nickel mean. By varying the generation number, we have found that the fragmentation process of allowed bands makes possible the emergence of new allowed magnonic bulk bands in spectra regions that were magnonic band gaps before, such as which occurs in doped semiconductor devices. This interesting property arises in one-dimensional magnonic quasicrystals fabricated in accordance to quasiperiodic sequences, without the need to introduce some deferent atomic layer or defect in the system. We also make a qualitative and quantitative investigations on these magnonic spectra by analyzing the distribution and magnitude of allowed bulk bands in function of the generalized Fibonacci number Fn and as well as how they scale as a function of the number of generations of the sequences, respectivelyengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNORIGINALFractalSpectraGeneralized_VASCONCELOS_2012.pdfFractalSpectraGeneralized_VASCONCELOS_2012.pdfapplication/pdf1562289https://repositorio.ufrn.br/bitstream/123456789/30174/1/FractalSpectraGeneralized_VASCONCELOS_2012.pdf2115541ad42e43d2fd9b66ff02cf146bMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.ufrn.br/bitstream/123456789/30174/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30174/3/license.txte9597aa2854d128fd968be5edc8a28d9MD53TEXTFractalSpectraGeneralized_VASCONCELOS_2012.pdf.txtFractalSpectraGeneralized_VASCONCELOS_2012.pdf.txtExtracted texttext/plain36923https://repositorio.ufrn.br/bitstream/123456789/30174/4/FractalSpectraGeneralized_VASCONCELOS_2012.pdf.txtb2f109bf6a39842e442e7251a0e6bdf5MD54THUMBNAILFractalSpectraGeneralized_VASCONCELOS_2012.pdf.jpgFractalSpectraGeneralized_VASCONCELOS_2012.pdf.jpgGenerated Thumbnailimage/jpeg1733https://repositorio.ufrn.br/bitstream/123456789/30174/5/FractalSpectraGeneralized_VASCONCELOS_2012.pdf.jpgda406080fc592adcf5a4f3bd5c7e8c7bMD55123456789/301742020-09-27 04:55:31.821oai:https://repositorio.ufrn.br:123456789/30174Tk9OLUVYQ0xVU0lWRSBESVNUUklCVVRJT04gTElDRU5TRQoKCkJ5IHNpZ25pbmcgYW5kIGRlbGl2ZXJpbmcgdGhpcyBsaWNlbnNlLCBNci4gKGF1dGhvciBvciBjb3B5cmlnaHQgaG9sZGVyKToKCgphKSBHcmFudHMgdGhlIFVuaXZlcnNpZGFkZSBGZWRlcmFsIFJpbyBHcmFuZGUgZG8gTm9ydGUgdGhlIG5vbi1leGNsdXNpdmUgcmlnaHQgb2YKcmVwcm9kdWNlLCBjb252ZXJ0IChhcyBkZWZpbmVkIGJlbG93KSwgY29tbXVuaWNhdGUgYW5kIC8gb3IKZGlzdHJpYnV0ZSB0aGUgZGVsaXZlcmVkIGRvY3VtZW50IChpbmNsdWRpbmcgYWJzdHJhY3QgLyBhYnN0cmFjdCkgaW4KZGlnaXRhbCBvciBwcmludGVkIGZvcm1hdCBhbmQgaW4gYW55IG1lZGl1bS4KCmIpIERlY2xhcmVzIHRoYXQgdGhlIGRvY3VtZW50IHN1Ym1pdHRlZCBpcyBpdHMgb3JpZ2luYWwgd29yaywgYW5kIHRoYXQKeW91IGhhdmUgdGhlIHJpZ2h0IHRvIGdyYW50IHRoZSByaWdodHMgY29udGFpbmVkIGluIHRoaXMgbGljZW5zZS4gRGVjbGFyZXMKdGhhdCB0aGUgZGVsaXZlcnkgb2YgdGhlIGRvY3VtZW50IGRvZXMgbm90IGluZnJpbmdlLCBhcyBmYXIgYXMgaXQgaXMKdGhlIHJpZ2h0cyBvZiBhbnkgb3RoZXIgcGVyc29uIG9yIGVudGl0eS4KCmMpIElmIHRoZSBkb2N1bWVudCBkZWxpdmVyZWQgY29udGFpbnMgbWF0ZXJpYWwgd2hpY2ggZG9lcyBub3QKcmlnaHRzLCBkZWNsYXJlcyB0aGF0IGl0IGhhcyBvYnRhaW5lZCBhdXRob3JpemF0aW9uIGZyb20gdGhlIGhvbGRlciBvZiB0aGUKY29weXJpZ2h0IHRvIGdyYW50IHRoZSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gR3JhbmRlIGRvIE5vcnRlIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdCB0aGlzIG1hdGVyaWFsIHdob3NlIHJpZ2h0cyBhcmUgb2YKdGhpcmQgcGFydGllcyBpcyBjbGVhcmx5IGlkZW50aWZpZWQgYW5kIHJlY29nbml6ZWQgaW4gdGhlIHRleHQgb3IKY29udGVudCBvZiB0aGUgZG9jdW1lbnQgZGVsaXZlcmVkLgoKSWYgdGhlIGRvY3VtZW50IHN1Ym1pdHRlZCBpcyBiYXNlZCBvbiBmdW5kZWQgb3Igc3VwcG9ydGVkIHdvcmsKYnkgYW5vdGhlciBpbnN0aXR1dGlvbiBvdGhlciB0aGFuIHRoZSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gR3JhbmRlIGRvIE5vcnRlLCBkZWNsYXJlcyB0aGF0IGl0IGhhcyBmdWxmaWxsZWQgYW55IG9ibGlnYXRpb25zIHJlcXVpcmVkIGJ5IHRoZSByZXNwZWN0aXZlIGFncmVlbWVudCBvciBhZ3JlZW1lbnQuCgpUaGUgVW5pdmVyc2lkYWRlIEZlZGVyYWwgZG8gUmlvIEdyYW5kZSBkbyBOb3J0ZSB3aWxsIGNsZWFybHkgaWRlbnRpZnkgaXRzIG5hbWUgKHMpIGFzIHRoZSBhdXRob3IgKHMpIG9yIGhvbGRlciAocykgb2YgdGhlIGRvY3VtZW50J3MgcmlnaHRzCmRlbGl2ZXJlZCwgYW5kIHdpbGwgbm90IG1ha2UgYW55IGNoYW5nZXMsIG90aGVyIHRoYW4gdGhvc2UgcGVybWl0dGVkIGJ5CnRoaXMgbGljZW5zZQo=Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-09-27T07:55:31Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals |
title |
Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals |
spellingShingle |
Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals Costa, Carlos Humberto Oliveira Spin wave Magnonic crystal Quasiperiodic structure Fractal spectrum |
title_short |
Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals |
title_full |
Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals |
title_fullStr |
Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals |
title_full_unstemmed |
Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals |
title_sort |
Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals |
author |
Costa, Carlos Humberto Oliveira |
author_facet |
Costa, Carlos Humberto Oliveira Vasconcelos, Manoel Silva de Barbosa, P.H.R. Barbosa Filho, F.F. |
author_role |
author |
author2 |
Vasconcelos, Manoel Silva de Barbosa, P.H.R. Barbosa Filho, F.F. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Costa, Carlos Humberto Oliveira Vasconcelos, Manoel Silva de Barbosa, P.H.R. Barbosa Filho, F.F. |
dc.subject.por.fl_str_mv |
Spin wave Magnonic crystal Quasiperiodic structure Fractal spectrum |
topic |
Spin wave Magnonic crystal Quasiperiodic structure Fractal spectrum |
description |
In this work we carry out a theoretical analysis of the spectra of magnons in quasiperiodic magnonic crystals arranged in accordance with generalized Fibonacci sequences in the exchange regime, by using a model based on a transfer-matrix method together random-phase approximation (RPA). The generalized Fibonacci sequences are characterized by an irrational parameter o(p,q), which rules the physical properties of the system. We discussed the magnonic fractal spectra for first three generalizations, i.e., silver, bronze and nickel mean. By varying the generation number, we have found that the fragmentation process of allowed bands makes possible the emergence of new allowed magnonic bulk bands in spectra regions that were magnonic band gaps before, such as which occurs in doped semiconductor devices. This interesting property arises in one-dimensional magnonic quasicrystals fabricated in accordance to quasiperiodic sequences, without the need to introduce some deferent atomic layer or defect in the system. We also make a qualitative and quantitative investigations on these magnonic spectra by analyzing the distribution and magnitude of allowed bulk bands in function of the generalized Fibonacci number Fn and as well as how they scale as a function of the number of generations of the sequences, respectively |
publishDate |
2012 |
dc.date.issued.fl_str_mv |
2012 |
dc.date.accessioned.fl_str_mv |
2020-09-23T12:09:43Z |
dc.date.available.fl_str_mv |
2020-09-23T12:09:43Z |
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 |
COSTA, C.H.O.; VASCONCELOS, M.s.; BARBOSA, P.H.R.; BARBOSA FILHO, F.F.. Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals. Journal of Magnetism and Magnetic Materials, [s.l.], v. 324, n. 14, p. 2315-2323, jul. 2012. Disponível em: https://www.sciencedirect.com/science/article/pii/S0304885312002284?via%3Dihub. Acesso em: 08 set. 2020. http://dx.doi.org/10.1016/j.jmmm.2012.02.123. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/jspui/handle/123456789/30174 |
dc.identifier.issn.none.fl_str_mv |
0304-8853 |
dc.identifier.doi.none.fl_str_mv |
10.1016/j.jmmm.2012.02.123 |
identifier_str_mv |
COSTA, C.H.O.; VASCONCELOS, M.s.; BARBOSA, P.H.R.; BARBOSA FILHO, F.F.. Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals. Journal of Magnetism and Magnetic Materials, [s.l.], v. 324, n. 14, p. 2315-2323, jul. 2012. Disponível em: https://www.sciencedirect.com/science/article/pii/S0304885312002284?via%3Dihub. Acesso em: 08 set. 2020. http://dx.doi.org/10.1016/j.jmmm.2012.02.123. 0304-8853 10.1016/j.jmmm.2012.02.123 |
url |
https://repositorio.ufrn.br/jspui/handle/123456789/30174 |
dc.language.iso.fl_str_mv |
eng |
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eng |
dc.rights.driver.fl_str_mv |
Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ info:eu-repo/semantics/openAccess |
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Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Elsevier |
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Elsevier |
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reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
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UFRN |
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UFRN |
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Repositório Institucional da UFRN |
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