Publisher's Note: Fourier Transform Imaging of Spin Vortex Eigenmodes [Phys. Rev. Lett.<b>93</b>, 077207 (2004)]

Buess, Matthias; Höllinger, Rainer; Haug, Tobias; Perzlmaier, Korbinian; Krey, U.; Pescia, D.; Scheinfein, M. R.; Weiß, Daniel; Back, Christian

doi:10.1103/physrevlett.93.129902

Cited by 66 publications

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“…This results in a richer mode spectrum and hence in a less uniform magnetic response to a pulsed magnetic field, which can be directly imaged in the case of micrometer sized magnetic elements. [26][27][28][29][30][31][32] The dominant role of the long-range magnetodipole interaction in the phenomena observed so far makes their analytical description complicated and generally requires numerical solution of integrodifferential equations. However, the interpretation of the magnetization dynamics in nonellipsoidal elements at finite bias field values becomes even more involved and challenging since it is not only the effective internal magnetic field but also the static magnetization that is nonuniform.…”

Section: Introductionmentioning

confidence: 99%

Time-resolved investigation of magnetization dynamics of arrays of nonellipsoidal nanomagnets with nonuniform ground states

et al. 2008

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Time-resolved scanning Kerr microscopy measurements have been performed upon arrays of square ferromagnetic nanoelements of different sizes and for a range of bias fields. The experimental results were compared to micromagnetic simulations of model arrays in order to understand the nonuniform precessional dynamics within the elements. In the experimental spectra acquired from an element of length of 236 nm and thickness of 13.6 nm, two branches of excited modes were observed to coexist above a particular bias field. Below this so-called crossover field, the higher frequency branch was observed to vanish. Micromagnetic simulations and Fourier imaging revealed that modes from the higher frequency branch had large amplitude at the center of the element where the effective field was parallel to the bias field and the static magnetization. Modes from the lower frequency branch had large amplitude near the edges of the element perpendicular to the bias field. The simulations revealed significant canting of the static magnetization and effective field away from the direction of the bias field in the edge regions. For the smallest element sizes and/or at low bias field values, the effective field was found to become antiparallel to the static magnetization. The simulations revealed that the majority of the modes were delocalized with finite amplitude throughout the element while the spatial character of a mode was found to be correlated with the spatial variation in the total effective field and the static magnetization state. The simulations also revealed that the frequencies of the edge modes are strongly affected by the spatial distribution of the static magnetization state both within an element and within its nearest neighbors. Furthermore, the simulations suggest that collective modes may be supported in arrays of interacting nanomagnets, which act as magnonic crystals.

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Section: Introductionmentioning

confidence: 99%

Time-resolved investigation of magnetization dynamics of arrays of nonellipsoidal nanomagnets with nonuniform ground states

et al. 2008

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“…Previous studies were mainly focused on resonant response in the absence of bias magnetic field [6][7][8][9]11,12,14,15] when the static vortex was localized in the dot center. Our letter reports on broadband measurements of the vortex dynamics in circular Permalloy (Py) dots excited by applying in-plane stratifying field with the variable angle between the bias and excitation fields.…”

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confidence: 99%

“…The lowest frequency excitation corresponds to the gyrotropic mode when the vortex moves as a whole around an equilibrium position [7][8][9], meanwhile the higher frequency modes correspond to the spin waves excited mainly outside of the vortex core [10][11][12][13][14][15][16][17][18][19]. The spin wave having radial or azimuthal symmetry with respect to the dot center are described by integers (n, m), which indicate number of nodes in the dynamic magnetization along radial (n) and azimuthal (m) directions.…”

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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 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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“…Owing to these potential applications, magnetic vortex structures have received a large amount of experimental and theoretical study during the past ten to fifteen years. One of the most prominent dynamical effects is gyrotropic precession of the vortex core, which has been experimentally [1][2][3][4] observed in thin circular disks. In these systems the vortex core can be forced off-center by an in-plane magnetic field pulse and gyrotropic precession is imaged as spiral motion of the core as it returns to the disk center as a result of dissipation.…”

Section: Introductionmentioning

confidence: 99%

Vortex precession in thin elliptical ferromagnetic nanodisks

Zaspel

2017

Journal of Magnetism and Magnetic Materials

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The magnetostatic energy is calculated for a magnetic vortex in a noncircular elliptical nanodisk.It is well-known that the energy of a vortex in the circular disk is minimized though an ansatz that eliminates the magnetostatic charge at the disk edge. Beginning with this ansatz for the circular disk, a conformal mapping of a circle interior onto the interior of an ellipse results in the magnetization of the elliptical disk. This magnetization in the interior of an ellipse also has no magnetostatic charge at the disk edge also minimizing the magnetostatic energy. As expected the energy has a quadratic dependence on the displacement of the vortex core from the ellipse center, but reflecting the lower symmetry of the ellipse. Through numerical integration of the magnetostatic integral a general expression for the energy is obtained for ellipticity values from 1.0 to about 0.3. Finally a general expression for the gyrotropic frequency as described by the Thiele equation is obtained.

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Publisher's Note: Fourier Transform Imaging of Spin Vortex Eigenmodes [Phys. Rev. Lett.93, 077207 (2004)]

Cited by 66 publications

References 0 publications

Time-resolved investigation of magnetization dynamics of arrays of nonellipsoidal nanomagnets with nonuniform ground states

Time-resolved investigation of magnetization dynamics of arrays of nonellipsoidal nanomagnets with nonuniform ground states

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

Vortex precession in thin elliptical ferromagnetic nanodisks

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