2010
DOI: 10.1103/physrevb.82.014402
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Nonlinear gyrotropic vortex dynamics in ferromagnetic dots

Abstract: 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 amplitu… Show more

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Cited by 51 publications
(43 citation statements)
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“…The resulting magnetic response depends on the profile of the confining magnetostatic potential. The potential can be described either by parabolic terms 14,15 , or more precisely including higher order terms in the energy expansion [16][17][18] . Micromagnetic simulations predict significant contribution of higher order energy terms 16,17 leading to a nonlinear increase of the eigenfrequency as a function of the vortex core position.…”
Section: Introductionmentioning
confidence: 99%
“…The resulting magnetic response depends on the profile of the confining magnetostatic potential. The potential can be described either by parabolic terms 14,15 , or more precisely including higher order terms in the energy expansion [16][17][18] . Micromagnetic simulations predict significant contribution of higher order energy terms 16,17 leading to a nonlinear increase of the eigenfrequency as a function of the vortex core position.…”
Section: Introductionmentioning
confidence: 99%
“…In the Fermi regime we find that the sound velocity increases on a constant value defined by formula (27).…”
Section: Discussionmentioning
confidence: 95%
“…For example quantum dots show interesting spin waves behavior [23]- [27]. Dynamics of the magnetic moments in the quantum plasma has also been studied.…”
Section: Introductionmentioning
confidence: 99%
“…In the present paper we calculated analytically the additional damping for small vortex core displacements 1. << s However, our calculations would be extended for larger vortex core displacements beyond the linear approximation [30]. We assume that there should be an enhancement of the additional damping and a decrease of the vortex gyration radius in the nonlinear regime.…”
Section: Discussionmentioning
confidence: 99%
“…(15), (18) and (19) originates from the emergent elec- i t ∂ m r must be not equal to zero. The damping tensor has been approximated to be a constant in most studies [26,27,29,30] on magnetic vortex dynamics assuming that the vortex core is positioned near the dot center. However, in the recent paper [31] it was shown by micromagnetic modeling that the gyrovector and damping parameters are changing with the vortex oscillations.…”
Section: Discussionmentioning
confidence: 99%