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Frequencies of Radially Symmetric Excitations in Vortex State Disks

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3 Author(s)
Zaspel, C.E. ; Dept. of Environ. Sci., Univ. of Montana-Western, Dillon, MT ; Galkin, A.Yu. ; Ivanov, B.A.

Submicron ferromagnetic disks with a vortex ground state exhibit interesting and potentially useful dynamic properties arising from excitations on the ground state. In particular, a magnetic pulse applied perpendicular to the vortex plane will excite radially symmetric modes. Previous calculations of the frequencies of these modes based on the linearized Landau-Lifschitz equation and the magnetostatic Green's function give eigenfrequencies proportional to the square root of the aspect ratio radic(L/R), where L is the disk thickness and R is the disk radius. However, experimental frequency data show significant deviation from the square root dependence. An improved calculation of the frequency is done through a collective variable approach by exploiting the high symmetry of these modes. In the linear approximation, this approach gives the main contribution to the frequency proportional to radic((L/R)ln(R/L)), which is closer to the observed aspect ratio dependence.

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Magnetics, IEEE Transactions on  (Volume:45 ,  Issue: 2 )