Spin waves in periodic magnetic structures—magnonic crystals

Никитов, С. А.; Tailhades, Philippe; Tsai, C.S.

doi:10.1016/s0304-8853(01)00470-x

Cited by 345 publications

(169 citation statements)

References 21 publications

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“…The collective character is due to coupling of stripes by magnetic dynamic dipole fields. This understanding led to suggestion of nano-scale magnonic crystals [39], as counterparts of the earlier suggested macroscopic ones [40].…”

Section: Introductionmentioning

confidence: 84%

Microwave magnetic dynamics in ferromagnetic metallic nanostructures lacking inversion symmetry

Kostylev

Yang

Maksymov

et al. 2016

Journal of Applied Physics

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In this work we carried out systematic experimental and theoretical investigations of the ferromagnetic resonance (FMR) response of quasi-twodimensional magnetic nano-objects -microscopically long nanostripes made of ferromagnetic metals. We were interested in the impact of the symmetries of this geometry on the FMR response. Three possible scenarios, from which the inversion symmetry break originated were investigated: (1) from the shape of the stripe crosssection, (2) from the double-layer structure of the stripes with exchange coupling between the layers, and (3) from the single-side incidence of the microwave magnetic field on the plane of the nano-pattern. The latter scenario is characteristic of the stripline FMR configuration. It was found that the combined effect of the three symmetry breaks is much stronger than impacts of each of these symmetry breaks separately. I. IntroductionFerromagnetic resonance (FMR) is a powerful tool for studying dynamic properties of metallic ferromagnetic thin films and nanostructures (see e.g., Refs. [1][2][3][4][5][6][7][8][9][10][11][12]). These materials are important for the emerging fields of magnonics [13], microwave spintronics [14][15][16][17], and for novel sensor applications [18][19][20][21].Macroscopically-long stripes with sub-micron cross-section made of ferromagnetic materials have attracted a lot of attention, because this geometry is a very convenient model object for studying the impact of geometric confinement on magnetization dynamics on the sub-micrometre and nanometer scales [22][23][24][25][26][27][28][29][30]. The main reasons for the attractiveness of this geometry are the practical absence of a static demagnetizing field H ds when the external field is applied along the stripes (i.e. along the axis y in Fig. 1(a)) and the quasi-two-dimensional (2D) character of the dynamics.The former property allows clear separation of the static and dynamic demagnetizing effects. Furthermore, because of the absence of H ds , the static magnetization configuration for the stripes is very simple. The static magnetization vector has the same magnitude -equal to the saturation magnetization for the material -and the same direction -along the stripe -for every point on the stripe crosssection. Due to strong shape anisotropy for this geometry, this configuration remains very stable even at remanence [29][30][31]. The simplicity of the magnetization ground state, together with the 2D character of the magnetization dynamics, results in simple analytical and quasi-analytical theoretical models able to deliver a clear physical

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Section: Introductionmentioning

confidence: 84%

Microwave magnetic dynamics in ferromagnetic metallic nanostructures lacking inversion symmetry

Kostylev

Yang

Maksymov

et al. 2016

Journal of Applied Physics

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“…The term magnonics has been coined to describe this field of study [5,6]. One pathway to control magnon dispersions is to construct magnonic crystals [7,8] that are metamaterials with a spatial modulation of the magnetic properties on length scales comparable to relevant magnonic wavelengths [9][10][11]. Patterned thin magnetic films [12,13] or topographically modulated thin films have been used to manipulate the magnon spectra [14].…”

Section: Introductionmentioning

confidence: 99%

Reconfigurable wave band structure of an artificial square ice

et al. 2016

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Artificial square ices are structures composed of magnetic nanoelements arranged on the sites of a twodimensional square lattice, such that there are four interacting magnetic elements at each vertex, leading to geometrical frustration. Using a semianalytical approach, we show that square ices exhibit a rich spin-wave band structure that is tunable both by external magnetic fields and the magnetization configuration of individual elements. Internal degrees of freedom can give rise to equilibrium states with bent magnetization at the element edges leading to characteristic excitations; in the presence of magnetostatic interactions these form separate bands analogous to impurity bands in semiconductors. Full-scale micromagnetic simulations corroborate our semianalytical approach. Our results show that artificial square ices can be viewed as reconfigurable and tunable magnonic crystals that can be used as metamaterials for spin-wave-based applications at the nanoscale.

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“…Later, several theoretical approaches were developed to describe spin-wave excitations in systems where magnetic properties are spatially periodic. The developed approaches include the method of plane wave expansion (PWE) [37][38][39][40] , which was adopted from the theory of periodic dielectric 41 and acoustic 42 structures, the dynamic matrix method 12,[43][44][45] , the transfer matrix method 46,47 , the multiple scattering theory 32 , and several other. The above mentioned methods have proven their applicability and convenience for the analysis of infinite periodic magnetic systems.…”

Section: Novel Magnonicmentioning

confidence: 99%

Theoretical formalism for collective spin-wave edge excitations in arrays of dipolarly interacting magnetic nanodots

et al. 2016

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A general theory of collective spin wave edge modes in semi-infinite and finite periodic arrays of magnetic nanodots having uniform dynamic magnetization (macrospin approximation) is developed. The theory is formulated using a formalism of multi-vectors of magnetization dynamics, which allows one to study edge modes in arrays having arbitrarily complex primitive cells and lattice structure. The developed formalism can describe spin wave edge modes localized both at the physical edges of the array and at the internal "domain walls" separating the array regions existing in different static magnetization states. Using a perturbation theory, in the framework of the developed formalism it is possible to calculate damping of the edge modes and to describe their excitation by external variable magnetic fields. The theory is illustrated on the following practically important examples: (i) calculation of the FMR absorption in a finite nanodot array having the shape of a right triangle; (ii) calculation of the spectra of nonreciprocal spin wave edge modes, including the modes at the physical edges of an array and modes at the domain walls inside the array; (iii) study of the influence of the domain wall modes on the FMR spectrum of an array existing in a non-ideal chessboard antiferromagnetic ground state.

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Spin waves in periodic magnetic structures—magnonic crystals

Cited by 345 publications

References 21 publications

Microwave magnetic dynamics in ferromagnetic metallic nanostructures lacking inversion symmetry

Microwave magnetic dynamics in ferromagnetic metallic nanostructures lacking inversion symmetry

Reconfigurable wave band structure of an artificial square ice

Theoretical formalism for collective spin-wave edge excitations in arrays of dipolarly interacting magnetic nanodots

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