Abstract The dynamic properties of interacting vortex-antivortex pairs in thin film are studied by analytical calculations. Analytical expressions for the magnetization vector distribution of vortex-antivortex pairs and the trivortex states are given. The magnetic states of the vortices are treated as having rigid structures, i.e., the vortex maintains its spin distribution when moving. The trajectories of the vortex cores are calculated by the Thiele's equation. It is found that the vortex-antivortex pair rotates around each other when they have opposite polarities, however, vortex and antivortex cores move along straight lines when they have the same polarity. The frequency of the rotation decreases with increasing the distance between the two cores of vortex-antivortex pair, and it has a lower value when a third vortex is introduced.
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11204026) and the Fundamental Research Funds for Central Universities of the Ministry of Education of China (Grant No. n130405011).
Corresponding Authors:
Liu Yan
E-mail: liuyanphys@mail.neu.edu.cn
Cite this article:
Liu Yan (柳艳), Li Hua-Nan (李化南), Hu Yong (胡勇), Du An (杜安) Exchange interaction between vortex and antivortex 2014 Chin. Phys. B 23 087501
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