We studied the vortex states during the magnetization process for nanomagnetic dot pairs in different geometries, including a series of dual regular polygons with 4–16 sides and irregular shape dot pairs. All geometries demonstrated independent control of the vortex chirality and polarity and could be accomplished by adjusting the in-plane magnetic field direction. To achieve chirality and polarity control, both shape anisotropy and coupling interaction play a vital role. For the regular polygons, the effect of shape anisotropy wanes as the number of side increases, and the coupled interaction is enhanced relatively. According to the results, and combined with those for dual-circle and dual-rectangular magnetic disks, we state the principle for the geometry of the disk to achieve independent control of the chirality and polarity.

中文翻译：

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对称纳米点对中磁涡旋手性和极性的独立控制

我们研究了不同几何形状的纳米磁性点对在磁化过程中的涡旋状态，包括一系列具有 4-16 边和不规则形状点对的双正多边形。所有几何形状都表现出对涡旋手性和极性的独立控制，并且可以通过调整面内磁场方向来实现。为了实现手性和极性控制，形状各向异性和耦合相互作用都起着至关重要的作用。对于正多边形，形状各向异性的影响随着边数的增加而减弱，耦合作用相对增强。根据结果​​，结合双圆和双矩形磁盘的结果，我们阐述了磁盘几何形状的原理，以实现手性和极性的独立控制。