Non-Newtonian dynamics of the fast motion of a magnetic vortex

Иванов, Б. А.; Avanesyan, G G; Khvalkovskiy, A. V.; Kulagin, N. E.; Zaspel, C. E.; Zvezdin, K. A.

doi:10.1134/s0021364010040041

Cited by 39 publications

(24 citation statements)

References 21 publications

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“…A spin-wave doublet with azimuthal quantum numbers m = ±1 (wave function varying as ψ ∼ e imφ around the disk center) has been discussed in Ref. 19. The doublet is predicted to have a splitting 32 of f = f 2 − f 1 = 3.5f G and an averaged frequency 33 off = 1.8(…”

Section: B Vortex Initially At Disk Centermentioning

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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Section: B Vortex Initially At Disk Centermentioning

confidence: 99%

Thermal vortex dynamics in thin circular ferromagnetic nanodisks

Wysin

Figueiredo

2012

Phys. Rev. B

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“…There are other lower amplitude higher frequency modes [11] that were not considered here. However, it is possible to investigate these modes using the same device and theoretical techniques through a higher order Thiele equation [22] that contains an effective antivortex mass as well as third order time derivatives.…”

Section: Antivortex Dynamicsmentioning

confidence: 99%

Antivortex gyrotropic motion in a nanocontact

Zaspel¹

2011

Journal of Magnetism and Magnetic Materials

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“…The theory for describing the dynamics of the magnetization was developed on the basis of the Thiel equation (in terms of collective variables [1]- [6]). It was shown that the core of magnetic vortex executes gyrotropic motion around the axis of a nanodisk similar to the Larmor motion of a charged particle around the magnetic field lines.…”

Section: Introductionmentioning

confidence: 99%