Information-signal-transfer rate and energy loss in coupled vortex-state networks

Kim, Jihye; Lee, Ki-Suk; Jung, Hyun-Kyo; Han, Dong‐Soo; Kim, Sang‐Koog

doi:10.1063/1.4748885

Cited by 19 publications

(20 citation statements)

References 26 publications

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“…The modes become distinguishable from one another at slightly lower R/D (larger D), and the magnitude of the splitting is larger, which is consistent with reports of stronger coupling for opposing polarities in experiments 19 and simulations. 20 There are, however, discrepancies in the predicted magnitude of the splitting effects for all of the models considered. In Fig.…”

Section: Resultsmentioning

confidence: 92%

“…Coupling effects are important for a variety of applications including vortex-based magnonics, 8 for increasing the signal from vortex-based spin torque oscillators, 14,15 and they may also lead to new devices since it was recently shown that the dependence of the resonance frequencies on the polarities can be used to dynamically control and read the state of coupled vortices. 16 Furthermore, recent studies have shown that signals can be transmitted from one disk to another via dipolar coupling in chains of two, 5,13,17 three, 18 or more structures lined up in a row, 19 and schemes to improve the signal transfer rate 20 and coupling efficiency in vortex chains have been investigated. 21 Several theories of vortex coupling have been proposed [8][9][10]22,23 but have not yet been compared against full micromagnetic simulations.…”

Section: Introductionmentioning

confidence: 99%

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A comparison of numerical simulations and analytical theory of the dynamics of interacting magnetic vortices

Asmat-Uceda

Cheng

Wang

et al. 2015

Journal of Applied Physics

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Magnetostatic interactions between vortices in closely spaced planar structures are important for applications including vortex-based magnonic crystals and spin torque oscillator networks. Analytical theories that include magnetostatic interaction effects have been proposed but have not yet been rigorously tested. Here, we compare micromagnetic simulations of the dynamics of magnetic vortices confined in three disks in an equilateral triangle configuration to analytical theories that include coupling. Micromagnetic simulations show that the magnetostatic coupling between the disks leads to splitting of the gyrotropic resonance into three modes and that the frequency splitting increases with decreasing separation. The temporal profiles of the magnetization depend on the vortex polarities and chiralities; however, the frequencies depend only on the polarity combinations and will fall into one of two categories: all polarities equal or one polarity opposite to the others, where the latter leads to a larger frequency splitting. Although the magnitude of the splitting observed in the simulations is larger than what is expected based on purely dipolar interactions, a simple analytical model that assumes dipole-dipole coupling captures the functional form of the frequency splitting and the motion patterns just as well as more complex models.

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Section: Resultsmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

A comparison of numerical simulations and analytical theory of the dynamics of interacting magnetic vortices

Asmat-Uceda

Cheng

Wang

et al. 2015

Journal of Applied Physics

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“…In recent years, much attention has been drawn to coupled-vortex oscillators, not only for the light they shed on the collective motions of topological magnetic solitons 1-13 but also owing to their possible implementation in informationprocessing [14][15][16][17][18][19] and microwave devices. [20][21][22] In particular, dipolar-coupled vortices in arrays comprising two or more vortex-state disks and their networks have been intensively studied both theoretically [1][2][3][4][5][6][23][24][25] and experimentally as robust mechanisms of signal transfer and logic operations. [7][8][9][10][11][12] In such novel vortex-state arrays, dynamic characteristics and magnonic band structures are tailored by adjustments made to their constituent materials, the isolated disks' dimensions, and the vortex-polarization (p) and chirality (C) orderings between nearest-neighboring (NN) vortices.…”

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confidence: 99%

Perpendicular-bias-field control of coupled vortex oscillations in nanodot networks

Han

Cho

Jeong

et al. 2015

Journal of Applied Physics

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We studied, by combined micromagnetic numerical simulations and analytical derivations, coupled-vortex dynamics in one-dimensional (1D) arrays composed of two or more dipolarcoupled-vortex-state disks under perpendicular bias fields. We derived analytical expressions that could provide physical insights into the observed dynamic behaviors. The effects of perpendicular bias fields on the interaction strengths between the coupled-vortex oscillators and their characteristic band structures were examined and explained in terms of field strength and direction. Those effects showed that the normal modes and dispersion relations of collective vortex gyration, and the signal-transfer rate, can be tailored according to the derived explicit forms. The band width and gap of 1D coupled-vortex oscillator magnonic crystals, for example, are essential to the control of gyration-signal transfer in vortex-state dot networks. All of the analytical calculation results showed quantitatively good agreement with the micromagnetic simulation results, indicating that the perpendicular-bias-field dependence of coupled-vortex gyrations can be expressed simply as a function of the dynamic parameters under the zero field as well as the field strength and direction. This work provides not only a fundamental understanding of the effects of perpendicular bias fields on coupled-vortex oscillators but also an efficient practical means of dynamically manipulating collective vortex gyrations. V C 2015 AIP Publishing LLC. [http://dx.

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“…9 Second, spin waves in nanoscale magnetic structures promise alternative ways to transmit and process information, potentially not involving electrical currents. 7,10 Being a magnetic counterpart of photonic crystals, magnonic crystals are expected to give a full control of the dispersion of spin waves. At the same time, the phenomenon of hysteresis 11 and the associated ability of magnetic nanostructures to form multiple micromagnetic states offer additional opportunities and challenges for research inquiry into fundamental physics of magnetism.…”

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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Information-signal-transfer rate and energy loss in coupled vortex-state networks

Cited by 19 publications

References 26 publications

A comparison of numerical simulations and analytical theory of the dynamics of interacting magnetic vortices

A comparison of numerical simulations and analytical theory of the dynamics of interacting magnetic vortices

Perpendicular-bias-field control of coupled vortex oscillations in nanodot networks

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

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