Forbidden frequency gaps in magnonic spectra of ferromagnetic layered composites

Krawczyk, Maciej; Lévy, J.C.S.; Mercier, Daniel; Puszkarski, H.

doi:10.1016/s0375-9601(01)00172-4

Cited by 58 publications

(28 citation statements)

References 16 publications

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“…They also investigated the relationship between the existence of these gaps and the physical parameters of the materials involved, and studied the influence of the lattice parameter on the magnon band structure. Krawczyk et al [16] computed the spin-wave spectra in layered composite materials and approved the existence of numerous frequency gaps by means of a transfer-matrix method.…”

Section: Introductionmentioning

confidence: 99%

Magnon energy gap and the magnetically structural symmetry in a three‐layer ferrimagnetic superlattice

Qiu¹,

Zhang²,

Guo³

et al. 2006

Physica Status Solidi (b)

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The magnon energy band in a ferrimagnetic superlattice with three layers in a unit cell is studied by employing retarded Green's functions and the spin-wave method. Two modulated energy gaps ∆ 13 ω and ∆ 23 ω are evaluated systematically, which exist in the magnon energy band along the K x -direction perpendicular to the plane of the superlattice. It is revealed that the energy gap ∆ 13 ω has a direct relation with the symmetry among the spin quantum numbers and the interlayer exchange couplings, while the energy gap ∆ 23 ω relates to the symmetry among these spin quantum numbers only. These symmetries differ from the symmetry of crystallographic point groups. We define the magnetically structural symmetry that is dominated mainly by the magnetic parameters. The absence of the energy gap at a certain condition means that the system has a high magnetically structural symmetry. The magnetically structural symmetry of the superlattice, which is an intrinsic property, strongly affects the magnon energy band structure and thus the magnetic behaviors of the system. Furthermore, two complete bandgaps are observed to extend through the Brillouin zone (referred to as "magnonic crystal") in this superlattice system.

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Section: Introductionmentioning

confidence: 99%

Magnon energy gap and the magnetically structural symmetry in a three‐layer ferrimagnetic superlattice

Qiu¹,

Zhang²,

Guo³

et al. 2006

Physica Status Solidi (b)

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“…Equation (9) is a quartic equation in , ω it has four real roots ( 1,2,3,4) l l ω = corresponding to four branches of the spin-wave spectrum. After employing the spectral theorem, we finally derive the magnetization per site for each sublattice (the unit is taken to be B gµ ) from [10]…”

Section: Model and Calculation Proceduresmentioning

confidence: 99%

“…Understanding the spin-wave spectra and energy gap is a key to solving many fundamental and application problems in physics. Krawczyk et al [4] studied the spin-wave spectra in layered composite materials by using a transfer matrix method with evidence for the existence of numerous frequency gaps. Vasseur et al [5] calculated the spin-wave spectra of two-dimensional composite materials consisting of periodic square arrays of parallel cylinders made of a ferromagnetic material embedded in a ferromagnetic background.…”

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confidence: 99%

Spin‐wave spectra and magnetization of ferro–ferrimagnetic double layers

Jiang

Wang

Zhang

et al. 2008

Physica Status Solidi (b)

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The spin‐wave spectra and magnetization of the ferro–ferrimagnetic double layers are studied by using a linear spin‐wave approximation and retarded Green's‐function method. We obtain the four branches of the spin‐wave spectra. Two energy gaps are found to exist in the energy band. The effects of the interlayer exchange coupling, the intralayer exchange coupling and the spin quantum numbers on the spin‐wave spectra and the energy gaps are discussed. The minimum (maximum) value point on the spin‐wave spectra and energy gaps correspond to a system that has a high symmetrical magnetic structure and the balance of quantum competitions among the exchange couplings and the spin quantum numbers of the system. There is a crossover between sublattice magnetizations in ferromagnetic layer that is affected by quantum fluctuations, thermal fluctuations and frustration of spins. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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“…[1][2][3][4][5][6] In particular, investigations of propagating and standing spin waves in such structures are in the focus of one of the youngest areas of magnetism-magnonics. 7,8 From the point of view of technological applications, the study of spin waves in periodic magnetic structures has attracted a great deal of attention for two main reasons.…”

Section: Introductionmentioning

confidence: 99%

Role of boundaries in micromagnetic calculations of magnonic spectra of arrays of magnetic nanoelements

et al. 2013

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We have used micromagnetic simulations performed with open and periodic boundary conditions to study the influence of the presence of array boundaries on the spectra and spatial profiles of collective spin-wave excitations in arrays of magnetic nanoelements. The spectra and spatial profiles of collective spin waves excited in isolated arrays of nanoelements and those forming a part of quasi-infinite arrays are qualitatively different even if the same excitation field is used in the simulations. In particular, the use of periodic boundary conditions suppresses the excitation of nonuniform collective modes by uniform excitation fields. However, the use of nonuniform excitation fields in combination with periodic boundary conditions is shown to enable investigation of the structure of magnonic dispersion curves for quasi-infinite arrays (magnonic crystals) in different directions in the reciprocal space and for different magnonic bands. The results obtained in the latter case show a perfect agreement with those obtained with the dynamical matrix method for infinite arrays of nanoelements of the same geometry and magnetic properties.

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Forbidden frequency gaps in magnonic spectra of ferromagnetic layered composites

Cited by 58 publications

References 16 publications

Magnon energy gap and the magnetically structural symmetry in a three‐layer ferrimagnetic superlattice

Magnon energy gap and the magnetically structural symmetry in a three‐layer ferrimagnetic superlattice

Spin‐wave spectra and magnetization of ferro–ferrimagnetic double layers

Role of boundaries in micromagnetic calculations of magnonic spectra of arrays of magnetic nanoelements

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