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Gyrotropic linear and nonlinear motions of a magnetic vortex in soft magnetic nanodots
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View: Figures


Image of FIG. 1.
FIG. 1.

(Color online) (a) Geometry and coordinates of the model Py nanodot along with the corresponding configurations at the indicated times. The top- and bottom-perspective snapshot images display the initial equilibrium and the dynamic MV states with the downward core orientation and counterclockwise in-plane rotation. The color and height of the surface indicate the in-plane and out-of-plane components, respectively. The spiral like black line on the right denotes the orbital trajectory of VC motion during the time period of with and . (b) Orbital trajectories of VC motions for the indicated and values. (c) The aspect ratio of the elliptical orbits vs for the case of . The red line indicates the case of ,21 where and are the lengths of the ellipse along the (perpendicular to the direction) and (along the direction) axes, respectively.

Image of FIG. 2.
FIG. 2.

(Color online) VC trajectories and their FFT powers under in-plane oscillating fields with various 's and 's, as noted. For comparison, the micromagnetic simulation results and the numerical solutions of the linearized equation of motion are shown in (a) and (b), respectively. The VC trajectories shown in the whole area of the dot were drawn during the time interval of , but in the upper left during , and in the lower right during 90–100, 94–100, and in order from the first to third column, respectively. The magnitudes of the FFT powers were normalized by the maximum value of each case.

Image of FIG. 3.
FIG. 3.

(Color online) (a) Simulation results of the VC trajectories of the gyrotropic motion in different time periods as noted, and (b) the FFT power spectrum for the case of and . (c) Identification of the individual peaks (marked by colored regions) in the FFT power spectrum in (b). Each VC trajectory shown in the first row was obtained from the inverse FFTs of the frequency powers in each range of , , , and , as displayed by the color-coded regions in the frequency spectrum. The second row denotes the superposition of the filtered VC trajectories corresponding to the individual frequency regions.

Image of FIG. 4.
FIG. 4.

(Color online) VC trajectories in different time periods as indicated, all of which were obtained from the numerical solutions of for the different values of , as noted above each case (column), for the same oscillating field parameters as in Fig. 3, i.e, and . The bottom row shows the FFT spectra corresponding to the VC motion in the time interval of . The FFT power spectra were normalized by the maximum value in each case.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Gyrotropic linear and nonlinear motions of a magnetic vortex in soft magnetic nanodots