Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals

Costa, Carlos Humberto Oliveira; Vasconcelos, Manoel Silva de; Barbosa, P.H.R.; Barbosa Filho, F.F.

Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals

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dc.contributor.author	Costa, Carlos Humberto Oliveira
dc.contributor.author	Vasconcelos, Manoel Silva de
dc.contributor.author	Barbosa, P.H.R.
dc.contributor.author	Barbosa Filho, F.F.
dc.date.accessioned	2020-09-23T12:09:43Z
dc.date.available	2020-09-23T12:09:43Z
dc.date.issued	2012
dc.description.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	pt_BR
dc.identifier.citation	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.	pt_BR
dc.identifier.doi	10.1016/j.jmmm.2012.02.123
dc.identifier.issn	0304-8853
dc.identifier.uri	https://repositorio.ufrn.br/jspui/handle/123456789/30174
dc.language	en	pt_BR
dc.publisher	Elsevier	pt_BR
dc.rights	Attribution 3.0 Brazil	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/br/	*
dc.subject	Spin wave	pt_BR
dc.subject	Magnonic crystal	pt_BR
dc.subject	Quasiperiodic structure	pt_BR
dc.subject	Fractal spectrum	pt_BR
dc.title	Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals	pt_BR
dc.type	article	pt_BR