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Journal Article

Gyrational modes of benzenelike magnetic vortex molecules


Weigand,  Markus
Dept. Modern Magnetic Systems, Max Planck Institute for Intelligent Systems, Max Planck Society;


Meier,  Guido
Institut für Angewandte Physik und Zentrum für Mikrostrukturforschung, Universität Hamburg, 20355 Hamburg, Germany;
Dynamics and Transport in Nanostructures, Condensed Matter Dynamics Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Ultrafast Electronics, Scientific Service Units, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
The Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, 22761 Hamburg, Germany;

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Adolff, C. F., Hänze, M., Pues, M., Weigand, M., & Meier, G. (2015). Gyrational modes of benzenelike magnetic vortex molecules. Physical Review B, 92(2): 024426. doi:10.1103/PhysRevB.92.024426.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0028-34E5-D
With scanning transmission x-ray microscopy we study six magnetostatically coupled vortices arranged in a ring that resembles a benzene molecule. Each vortex is contained in a ferromagnetic microdisk. When exciting one vortex of the ring molecule with an alternating magnetic high-frequency field, all six vortices perform gyrations around the equilibrium center positions in their disks. In a rigid particle model, we derive the dispersion relation for these modes. In contrast to carbon atoms, magnetic vortices have a core polarization that strongly influences the intervortex coupling. We make use of this state parameter to reprogram the dispersion relation of the vortex molecule experimentally by tuning a homogeneous and an alternating polarization pattern. In analogy to the benzene molecule, we observe motions that can be understood in terms of normal modes that are largely determined by the symmetry of the system.