Vortex motion in a finite-size easy-plane ferromagnet and application to a nanodot

Details Vortex motion in a finite-size easy-plane ferromagnet and application to a nanodot Vortex motion in a finite-size easy-plane ferromagnet and application to a nanodot

2004-10-29

arxiv.org/abs/cond-mat/0410779v2

Phys. Rev. B 71, 134420 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages (RevTeX), 14 figures (eps)

Scientific paper

10.1103/PhysRevB.71.134420

We study the motion of a non-planar vortex in a circular easy-plane ferromagnet, which imitates a magnetic nanodot. Analysis was done using numerical simulations and a new collective variable theory which includes the coupling of Goldstone-like mode with the vortex center. Without magnetic field the vortex follows a spiral orbit which we calculate. When a rotating in-plane magnetic field is included, the vortex tends to a stable limit cycle which exists in a significant range of field amplitude B and frequency $\omega$ for a given system size L. For a fixed $\omega$, the radius R of the orbital motion is proportional to L while the orbital frequency $\Omega$ varies as 1/L and is significantly smaller than $\omega$. Since the limit cycle is caused by the interplay between the magnetization and the vortex motion, the internal mode is essential in the collective variable theory which then gives the correct estimate and dependency for the orbit radius $R\sim B L/\omega$. Using this simple theory we indicate how an ac magnetic field can be used to control vortices observed in real magnetic nanodots.

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