Partial band gaps in magnonic crystals

Costa, Carlos H.; Vasconcelos, M.S.; Albuquerque, E.L.

doi:10.1063/1.3549557

Cited by 16 publications

(8 citation statements)

References 13 publications

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“…by m A M SA + m B M SA . Thus, to list a few topics of relevance, we expect the problems of spin wave scattering from interfaces [83][84][85][86] (including the recently proposed magnonic Goos-Hänchen effect 87 ), spin wave dispersion in magnonic crystals 24,32,44,46,47,88 and quasi-crystals, 38,89,90 spectra and localization of defect and surface modes, 91,92,93 and associated applications in magnonic devices 14,40,41,94 to be revisited with the generalized Barnaś-Mills boundary conditions derived here.…”

Section: Discussionmentioning

confidence: 99%

Magnetization boundary conditions at a ferromagnetic interface of finite thickness

Kruglyak

Gorobets

et al. 2014

J. Phys.: Condens. Matter

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We develop a systematic approach by which to derive boundary conditions at an interface between two ferromagnetic materials in the continuous medium approximation. The approach treats the interface as a two-sublattice material, although the final equations connect magnetizations outside of the interface and therefore do not explicitly depend on its structure. Instead, the boundary conditions are defined in terms of some average properties of the interface, which may also have a finite thickness. In addition to the interface anisotropy and symmetric exchange coupling, this approach allows us to take into account coupling resulting from inversion symmetry breaking in the vicinity of the interface, such as the Dzyaloshinskii-Moriya antisymmetric exchange interaction. In the case of negligible interface anisotropy and Dzyaloshinskii-Moriya exchange parameters, the derived boundary conditions represent a generalization of those proposed earlier by Barnaś and Mills and are therefore named "generalized Barnaś-Mills boundary conditions". We demonstrate how one could use the boundary conditions to extract parameters of the interface via fitting of appropriate experimental data. The developed theory could be applied to modeling of both linear and non-linear spin waves, including exchange, dipole-exchange, magnetostatic, and retarded modes, as well as to calculations of nonuniform equilibrium micromagnetic configurations near the interface, with a direct impact on the research in magnonics and micromagnetism. * Corresponding author: V.V.Kruglyak@exeter.ac.uk 2

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Section: Discussionmentioning

confidence: 99%

Magnetization boundary conditions at a ferromagnetic interface of finite thickness

Kruglyak

Gorobets

et al. 2014

J. Phys.: Condens. Matter

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“…Quasicrystals have been extensively studied in photonics and phononics for a long time but have only recently been introduced in nanomagnetism in the form of magnonic quasicrystal (MQC). Appearance of pass band 271 , allowed bulk band in place of band gaps 272 , modulation of magnonic gaps 273 , damping of collective SW modes 274 SWs through Py nanowires of two different widths arranged in a 1D Fibonacci sequence using STXM measurement 277 . This field, however, remained wide open with new opportunities.…”

Section: Arrays Of Nanostructures With Quasiperiodicity and Defectsmentioning

confidence: 99%

Magnetization dynamics of nanoscale magnetic materials: A perspective

Barman

Mondal

Sahoo

et al. 2020

Journal of Applied Physics

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Nanomagnets form the building blocks for a gamut of miniaturized energyefficient devices including data storage, memory, wave-based computing, sensors and biomedical devices. They also offer a span of exotic phenomena and stern challenges. The rapid advancements of nanofabrication, characterization and numerical simulations during last two decades have made it possible to explore a plethora of science and technology related to nanomagnet dynamics. The progress in the magnetization dynamics of single nanomagnets and one-and two-dimensional arrays of nanostructures in the form of dots, antidots, nanoparticles, binary and bicomponent structures and patterned multilayers have been presented in details.Progress in unconventional and new structures like artificial spin ice and three-dimensional nanomagnets and spin textures like domain walls, vortex and skyrmions have been presented. Furthermore, a huge variety of new topics in the magnetization dynamics of magnetic nanostructures are rapidly emerging. An overview of the steadily evolving topics like spatiotemporal imaging of fast dynamics of nanostructures, dynamics of spin textures, artificial spin ice have been discussed. In addition, dynamics of contemporary and newly transpired magnetic architectures such as nanomagnet arrays with complex basis and symmetry, magnonic quasicrystals, fractals, defect structures, novel three-dimensional structures have been introduced. Effects of various spin-orbit coupling and ensuing spin textures as well as quantum hybrid systems comprising of magnon-photon, magnon-phonon and magnon-magnon coupling, antiferromagnetic nanostructures are rapidly growing and are expected to dominate this research field in the coming years. Finally, associated topics like nutation dynamics and nanomagnet antenna are briefly discussed. Despite showing a great progress, only a small fraction of nanomagnetism and its ancillary topics have been explored so far and huge efforts are envisaged in this evergrowing research area in the generations to come.

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“…Quasiperiodic structures could be structured following different types of sequences such as Fibonacci [20], Thue-Morse [21,22], Rudin-Shapiro [23], Double period [24,25] and Cantor [26][27][28]. The most well known of these systems is the Fibonacci structures [29], which have been widely studied for several types of excitations such as electrons [30,31], phonons [32][33][34][35], photons [36,37], magnons [38] and plasmons [39][40][41]. Merlin et al [30] produced first Fibonacci structures based on GaAs-AlAs semiconductor superlattices.…”

Section: Introductionmentioning

confidence: 99%

Scaling Law, Confined and Surface Modes in Photonic Fibonacci Stub Structures: Theory and Experiment

et al. 2020

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We investigate both theoretically and experimentally the properties of electromagnetic waves propagation and localization in periodic and quasi-periodic stub structures of Fibonacci type. Each block constituting the Fibonacci sequence (FS) is composed of an horizontal segment and a vertical stub. The origin of the primary and secondary gaps shown in such systems is discussed. The behaviors and scattering properties of the electromagnetic modes are studied in two geometries, when the FS is inserted horizontally between two semi-infinite waveguides or grafted vertically along a guide. Typical properties of the Fibonacci systems such as the fragmentation of the frequency spectrum, the self-similarity following a scaling law are analyzed and discussed. It is found that certain modes inside these two geometries decrease according to a power law rather than an exponential law and the localization of these modes displays the property of self-similarity around the central gap frequency of the periodic structure where the quasi-periodicity is most effective. Also, the eigenmodes of the FS of different generation order are studied depending on the boundary conditions imposed on its extremities. It is shown that both geometries provide complementary information on the localization of the different modes inside the FS. In particular, in addition to bulk modes, some localized modes induced by both extremities of the system exhibit different behaviors depending on which surface they are localized. The theory is carried out using the Green’s function approach through an analysis of the dispersion relation, transmission coefficient and electric field distribution through such finite structures. The theoretical findings are in good agreement with the experimental results performed by measuring in the radio-frequency range the transmission along a waveguide in which the FS is inserted horizontally or grafted vertically.

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Partial band gaps in magnonic crystals

Cited by 16 publications

References 13 publications

Magnetization boundary conditions at a ferromagnetic interface of finite thickness

Magnetization boundary conditions at a ferromagnetic interface of finite thickness

Magnetization dynamics of nanoscale magnetic materials: A perspective

Scaling Law, Confined and Surface Modes in Photonic Fibonacci Stub Structures: Theory and Experiment

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