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Fine structure of the spectra of magnetic particles in the vortex state and their ordered arrays
Authors:B A Ivanov  P V Bondarenko  A Yu Galkin  C E Zaspel  D D Sheka
Institution:(1) Institute of Magnetism, National Academy of Sciences of Ukraine, pr. Vernadskogo 36-B, Kiev, 03142, Ukraine;(2) Institute of Metal Physics, National Academy of Sciences of Ukraine, pr. Vernadskogo 36, Kiev, 03142, Ukraine;(3) University of Montana-Western, Dillon, Montana MT 59725, USA;(4) Shevchenko National University, Kiev, 03127, Ukraine
Abstract:A low-frequency (the frequency ωVPM is in the sub-GHz range) mode exist for submicron magnetic particles in the vortex state. This mode corresponds to oscillations of the vortex center. The other modes form doublets with higher (several gigahertz) frequency and small (about ωVPM) splitting. Collective oscillations exist for lattices of such particles. The dependence of the frequency of these modes on the quasi-momentum can be nonanalytic.
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