The dipole-exchange spin wave spectrum for anisotropic ferromagnetic films with mixed exchange boundary conditions

Kalinikos, B. A.; Kostylev, Mikhail; Kozhus, N.V.; Slavin, A. N.

doi:10.1088/0953-8984/2/49/012

Cited by 106 publications

(83 citation statements)

References 13 publications

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“…Twenty-nine higher-order thickness modes are shown in gray. The dispersions were found by numerical calculations using the approach developed in [112][113][114]. (b) A linear scale is used for the wavenumber.…”

Section: Spin Waves In Thin Magnetic Films and Waveguidesmentioning

confidence: 99%

Magnonic crystals for data processing

Chumak

Serga

Hillebrands

2017

J. Phys. D: Appl. Phys.

409

320

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IntroductionThis article focuses on a selection of results in the field of magnonic crystals obtained within the last decade in our group. Special attention is devoted to the application of magnonic crystals in data processing and information technologies. Because of the large number of achievements in the field, it is unavoidable that many important results are excluded from this article. Therefore, we would like to direct the reader's attention to excellent reviews devoted to different aspects of magnonic crystals: spin-wave dynamics in periodic structures for microwave applications [1, 2], Brillouin light scattering (BLS) studies of planar metallic magnonic crystals [3], micromagnetic computer simulations of width-modulated waveguides [4], photo-magnonic aspects of antidot lattices studies [5], theoretical studies of one-dimensional monomode waveguides [6], and reconfigurable magnonic crystals [7]. The results presented in the current review were already partially presented in our own reviews of yttrium iron garnet (YIG) magnonics [8] and magnon spintronics [9] as well as in book chapters on dynamic magnonic crystals [10] and magnon spintronics [11].The article is organized in the following way: In the introduction we describe the field of magnon spintronics and discuss the role of magnonic crystals in it. The next section 2 is devoted to the properties of spin waves in thin planar films and waveguides, to the magnetic materials commonly used in the field, and to the methods of spin-wave excitation and detection. Sections 3 and 4 are devoted to the study of physical phenomena taking place in static and dynamic magnonic crystals, respectively. The application of magnonic crystals for magnonbased processing of analog and digital data is discussed in section 5. Specifically, static magnonic crystals can be used as passive elements, like microwave filters, resonators or delay lines for microwave generation. Reconfigurable and dynamic magnonic crystals are promising as active devices performing, for example, tunable filtering, frequency conversion or time reversal. In the final section we briefly summarize the results. Magnon spintronics: from electron-to magnon-based computingA disturbance in the local magnetic order can propagate in a magnetic material in the form of a wave. This wave was first predicted by Bloch in 1929 and was named spin wave since AbstractMagnons (the quanta of spin waves) propagating in magnetic materials with wavelengths at the nanometer-scale and carrying information in the form of an angular momentum can be used as data carriers in next-generation, nano-sized low-loss information processing systems. In this respect, artificial magnetic materials with properties periodically varied in space, known as magnonic crystals, are especially promising for controlling and manipulating magnon currents. In this article, different approaches for the realization of static, reconfigurable, and dynamic magnonic crystals are presented along with a variety of novel wave phenomena discovered in these cryst...

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Section: Spin Waves In Thin Magnetic Films and Waveguidesmentioning

confidence: 99%

Magnonic crystals for data processing

Chumak

Serga

Hillebrands

2017

J. Phys. D: Appl. Phys.

409

320

View full text Add to dashboard Cite

show abstract

“…Obviously, because of the presence of differential operator  C in denominator of the polarizability matrix  χ in (14),  χ, in fact, is an integral operator. At this point let us apply the "magnetostatic approximation", formulated and discussed in Sec.…”

Section: Linear Wavesmentioning

confidence: 99%

“…1. Specifically, by neglecting the exchange operator  C from denominator of (14). Formally, this is equivalent to putting the exchange radius e r equal to zero (of course, by this the exchange interaction is not neglected completely, since it remains responsible for the magnetization phenomenon itself).…”

Section: Linear Wavesmentioning

confidence: 99%

“…If we'd take into account the exchange radius > 0 e r and deal with the operator-valued polarizability matrix (14), then in place of (22) one would get a sum of at least six terms, where transverse wave numbers of the order of | | k (as q ± in (22)) are more or less hybridized with real or imaginary wave numbers of the order of / e r π . From the point of view of our aims, such complication would be too big price to pay for a small increase in accuracy.…”

Section: Propagator Of Magnetostatic Waves In Filmsmentioning

confidence: 99%

“…Dipole-exchange theory of spin-wave spectrum [13,14], additionally to including the arbitrary anisotropy and magnetization direction, is valid in a wider range of wavelengths and covers both magnetostatic and exchange spin waves. For technical applications, however, it is convenient to express the resonant properties of magnetic medium in terms of directly measurable quantities, such as impedances.…”

Section: Introductionmentioning

confidence: 99%

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Excitation of magnetostatic spin waves in anisotropic ferromagnetic films, magnetized in arbitrary direction

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Exact analytical expressions for propagator of small-amplitude linear magnetostatic waves in ferromagnetic thin film between two antennae and their corresponding mutual impedance are obtained by solving the linearized torque equation of spin dynamics (Landau-Lifshitz equation) in magnetostatic approximation. This is done for the case of arbitrary orientation of uniform static magnetization of the film and full account for arbitrary magnetic anisotropy. The result also contains full description of the magnetostatic spin-wave spectrum.

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Modification and control of material properties through careful manipulation of geometry on nano‐ and sub‐nanometer length scales is a cornerstone of modern materials science and technology. An exciting area in which these concepts have provided exceptional advances has been magnetoelectronics and nanomagnetism. Important scales in magnetic metals are conduction spin diffusion lengths and distances over which local moments correlate. Advanced techniques now allow for the creation of structures patterned on these length scales in three dimensions. The focus of this article is on magnetic structures whose dynamic properties can be strongly modified by ion bombardment and lithographic patterning. Examples are given of how microwave frequency properties can be tuned with external fields, how factors controlling magnetic switching can be controlled, and how manipulation of magnetic domain walls can be used to reveal new and surprising phenomena.

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The dipole-exchange spin wave spectrum for anisotropic ferromagnetic films with mixed exchange boundary conditions

Cited by 106 publications

References 13 publications

Magnonic crystals for data processing

Magnonic crystals for data processing

Excitation of magnetostatic spin waves in anisotropic ferromagnetic films, magnetized in arbitrary direction

Dynamic Magnetic Properties of Ferroic Films, Multilayers, and Patterned Elements

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