Dynamic Origin of Azimuthal Modes Splitting in Vortex-State Magnetic Dots

Guslienko, K. Yu.; Slavin, A. N.; Tiberkevich, Vasyl S.; Kim, Sang‐Koog

doi:10.1103/physrevlett.101.247203

Cited by 76 publications

(80 citation statements)

References 25 publications

(29 reference statements)

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“…The later modes have much lower intensity and will not be discussed further. The zero-field splitting of the spin eigenfrequencies of the doublets is about ~1GHz in accordance with recently developed model [24] of the dynamical vortex core -spin wave interaction.…”

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confidence: 88%

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Spin waves in circular soft magnetic dots at the crossover between vortex and single domain state

et al. 2009

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We report on linear spin dynamics in the vortex state of the Permalloy dots subjected to stratified (magnetic) field. We demonstrate experimentally and by simulations the existence of two distinct dynamic regimes corresponding to the vortex stable and metastable states.Breaking cylindrical symmetry leads to unexpected eigenmodes frequency splitting in the stable state and appearance of new eigenmodes in the metastable state above the vortex nucleation field. Dynamic response in the metastable state strongly depends on relative orientation of the external rf pumping and the bias magnetic fields. These findings may be relevant for different vortex states in confined and stratified conditions.

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confidence: 88%

“…2b,c). These low-field doublets [24] can be described as azimuthal spin waves with the indices m=±1, n=0, indicated in Fig.2 as (1), and with the indices m=±1, n=1. The later modes have much lower intensity and will not be discussed further.…”

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confidence: 99%

Spin waves in circular soft magnetic dots at the crossover between vortex and single domain state

et al. 2009

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“…We used the generator mzran13 due to Marsaglia and Zaman, 29 implemented in the C language for long integers. This generator is very simple and fast and has a period of about 2 125 , and is based on a combination of two separate generators with periods of 2 32 and 2 95 .…”

Section: Time Evolution With Second-order Heun (H2) Methodsmentioning

confidence: 99%

Thermal vortex dynamics in thin circular ferromagnetic nanodisks

Wysin

Figueiredo

2012

Phys. Rev. B

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The dynamics of gyrotropic vortex motion in a thin circular nanodisk of soft ferromagnetic material is considered. The demagnetization field is calculated using two-dimensional Green's functions for the thin-film problem and fast Fourier transforms. At zero temperature, the dynamics of the Landau-Lifshitz-Gilbert equation is simulated using fourth-order Runge-Kutta integration. Pure vortex initial conditions at a desired position are obtained with a Lagrange multipliers constraint. These methods give accurate estimates of the vortex restoring force constant k F and gyrotropic frequency, showing that the vortex core motion is described by the Thiele equation to very high precision. At finite temperature, the second-order Heun algorithm is applied to the Langevin dynamical equation with thermal noise and damping. A spontaneous gyrotropic motion takes place without the application of an external magnetic field, driven only by thermal fluctuations. The statistics of the vortex radial position and rotational velocity are described with Boltzmann distributions determined by k F and by a vortex gyrotropic mass m G = G

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“…7 ' 9,10 The moving vortex profile is distorted in comparison to the static vortex 1 ' 18 due to interaction of the gyrotropic mode with azimuthal spin waves. 19 ' 20 This distortion increases when the core velocity increases, eventually leading to core polarization reversal. 10,21 It has been shown that the vortex core polarization can be reversed by the application of a small ac magnetic field with a vortex resonance frequency and an amplitude considerably smaller than the switching field of the vortex core static reversal.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear gyrotropic vortex dynamics in ferromagnetic dots

2010

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The quasistationary and transient (nanosecond) regimes of nonlinear vortex dynamics in a soft magnetic dot driven by an oscillating external field are studied. We derive a nonlinear dynamical system of equations for the vortex core position and phase, assuming that the main source of nonlinearity comes from the magnetostatic energy. In the stationary regime, we demónstrate the occurrence of a fold-over bifurcation and calcúlate analytically the resonant nonlinear vortex frequencies as a function of the amplitude and frequency of the applied driving field. In the transient regime, we show that the vortex core dynamics are described by an oscillating trajectory radius. The resulting dynamics contain múltiple frequencies with amplitude decaying in time. Finally, we evalúate the ranges of the system parameters leading to a vortex core instability (core polarization re versal).

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Dynamic Origin of Azimuthal Modes Splitting in Vortex-State Magnetic Dots

Cited by 76 publications

References 25 publications

Spin waves in circular soft magnetic dots at the crossover between vortex and single domain state

Spin waves in circular soft magnetic dots at the crossover between vortex and single domain state

Thermal vortex dynamics in thin circular ferromagnetic nanodisks

Nonlinear gyrotropic vortex dynamics in ferromagnetic dots

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