Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals

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 generali...

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Veröffentlicht in:Journal of magnetism and magnetic materials 2012-07, Vol.324 (14), p.2315-2323
Hauptverfasser: Costa, C.H.O., Vasconcelos, M.S., Barbosa, P.H.R., Barbosa Filho, F.F.
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container_end_page 2323
container_issue 14
container_start_page 2315
container_title Journal of magnetism and magnetic materials
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creator Costa, C.H.O.
Vasconcelos, M.S.
Barbosa, P.H.R.
Barbosa Filho, F.F.
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 σ(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. ► Quasiperiodic magnonic crystals are arranged in accordance with the generalized Fibonacci sequence. ► Heisenberg model in exchange regime is applied. ► We use a theoretical model based on a transfer-matrix method together random-phase approximation. ► Fractal spectra are characterized. ► We analyze the distribution of allowed bulk bands in function of the generalized Fibonacci number.
doi_str_mv 10.1016/j.jmmm.2012.02.123
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subjects Band spectra
Bands
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Energy gaps (solid state)
Exact sciences and technology
Fractal analysis
Fractal spectrum
Fractals
Magnetic properties and materials
Magnetically ordered materials: other intrinsic properties
Magnonic crystal
Mathematical models
Physics
Quasicrystals
Quasiperiodic structure
Spectra
Spin wave
Spin waves
title Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals
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