Spin-wave edge modes in finite arrays of dipolarly coupled magnetic nanopillars

Lisenkov, Ivan; Tyberkevych, Vasyl; Slavin, A. N.; Bondarenko, P. V.; Иванов, Б. А.; Bankowski, Elena; Meitzler, Thomas; Никитов, С. А.

doi:10.1103/physrevb.90.104417

Cited by 52 publications

(43 citation statements)

References 17 publications

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“…An accurate treatment of the finite magnetic systems require: (i) taking into account the boundary conditions at the system's edges, and (ii)taking into account the demagnetization field for all the periodic structure. This demagnetization field is shape-dependent (and not lattice-dependent), and, also, is non-uniform across the structure 31,33 . Several attempts were undertaken to treat finite magnetic periodic structures, either by using the PWE methods 48,49 or by developing dedicated methods for special cases 34 .…”

Section: Novel Magnonicmentioning

confidence: 99%

“…Thus, the properties of the edge excitations in such systems should be wellunderstood. In one of our previous works 33 we calculated the spectrum of collective spin wave edge modes in a periodic dipolarly coupled nanodot array having one dot per a primitive cell. However, for an array of magnetic nanodots to have such interesting and unusual properties as non-reciprocity of a spin wave spectra 19 or non-trivial topological properties of a spin wave pass-bands 34,35 , it is necessary to have a complex primitive cell, e.g.…”

Section: Novel Magnonicmentioning

confidence: 99%

“…Integration of nano-structured magnetic metamaterials with modern CMOS electronics will require miniaturization, and, therefore, the presence of edge effects in relatively small pieces if magnetic metamaterials will play an increasingly important role with the progress in the systems miniaturization [30][31][32][33] . Thus, the properties of the edge excitations in such systems should be wellunderstood.…”

Section: Novel Magnonicmentioning

confidence: 99%

“…Thus, below, in our attempt to describe the general properties of collective edge modes in magnetic dot arrays, we decided to use approximate analytical methods based on the Fourier transform of the mutual demagnetization tensor of individual array's elements 17,33,36,52,53 and an operator form of the linearized Landau-Lifshitz equation 45 . The analytical approach developed by Verba et al 17 calculates the spin wave spectra in spatially infinite periodic arrays of magnetic nanodots using the fundamental tensorF k of the array.…”

Section: Novel Magnonicmentioning

confidence: 99%

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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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Section: Novel Magnonicmentioning

confidence: 99%

Section: Novel Magnonicmentioning

confidence: 99%

Section: Novel Magnonicmentioning

confidence: 99%

Section: Novel Magnonicmentioning

confidence: 99%

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

et al. 2016

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“…This is consistent with the calculated SW energy spectrum. At this point, it should be emphasized that the dependence of the Berry phase on the crystal momentum is the consequence of the conservation of the time reversal symmetry, in contrast to the non-reciprocity of SW propagation 25,26 , which requires the violation of the time reversal symmetry.…”

Section: Spin Wave Eigenmodesmentioning

confidence: 99%

Magnonic band structure of domain wall magnonic crystals

Wang¹,

Zhou²,

Li³

et al. 2016

IEEE Trans. Magn.

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Magnonic crystals are prototype magnetic metamaterials designed for the control of spin wave propagation. Conventional magnonic crystals are composed of single domain elements. If magnetization textures, such as domain walls, vortices and skyrmions, are included in the building blocks of magnonic crystals, additional degrees of freedom over the control of the magnonic band structure can be achieved. We theoretically investigate the influence of domain walls on the spin wave propagation and the corresponding magnonic band structure. It is found that the rotation of magnetization inside a domain wall introduces a geometric vector potential for the spin wave excitation. The corresponding Berry phase has quantized value 4n w π, where n w is the winding number of the domain wall. Due to the topological vector potential, the magnonic band structure of magnonic crystals with domain walls as comprising elements differs significantly from an identical magnonic crystal composed of only magnetic domains. This difference can be utilized to realize dynamic reconfiguration of magnonic band structure by a sole nucleation or annihilation of domain walls in magnonic crystals.

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Realization and Control of Bulk and Surface Modes in 3D Nanomagnonic Networks by Additive Manufacturing of Ferromagnets

Guo,

Deenen,

et al. 2023

Advanced Materials

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The high‐density integration in information technology fuels the research on functional 3D nanodevices. Particularly ferromagnets promise multifunctional 3D devices for nonvolatile data storage, high‐speed data processing, and non‐charge‐based logic operations via spintronics and magnonics concepts. However, 3D nanofabrication of ferromagnets is extremely challenging. In this work, an additive manufacturing methodology is reported, and unprecedented 3D ferromagnetic nanonetworks with a woodpile‐structure unit cell are fabricated. The collective spin dynamics (magnons) at frequencies up to 25 GHz are investigated by Brillouin Light Scattering (BLS) microscopy and micromagnetic simulations. A clear discrepancy of about 10 GHz is found between the bulk and surface modes, which are engineered by different unit cell sizes in the Ni‐based nanonetworks. The angle‐ and spatially‐dependent modes demonstrate opportunities for multi‐frequency signal processing in 3D circuits via magnons. The developed synthesis route will allow one to create 3D magnonic crystals with chiral unit cells, which are a prerequisite toward surface modes with topologically protected properties.

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Spin-wave edge modes in finite arrays of dipolarly coupled magnetic nanopillars

Cited by 52 publications

References 17 publications

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

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

Magnonic band structure of domain wall magnonic crystals

Realization and Control of Bulk and Surface Modes in 3D Nanomagnonic Networks by Additive Manufacturing of Ferromagnets

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