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arXiv 2206.07124cond-mat.mes-hallcond-mat.str-el
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曲率诱导的Dzyaloshinskiii-Moriya相互作用对球冠中磁涡旋纹理的影响

Impact of curvature-induced Dzyaloshinskii-Moriya interaction on magnetic vortex texture in spherical caps

Mykola I. Sloika, Yuri Gaididei, Volodymyr P. Kravchuk, Oleksandr V. Pylypovskyi, Denys Makarov, Denis D. Sheka

摘要:

纳米磁性壳层的几何曲率导致了曲率诱导的各向异性和Dzyaloshinskiii-Moriya相互作用。在这里,我们推导方程来描述的轮廓的磁涡旋状态的球冠。我们证明了磁化的方位角分量在帽的边缘获得有限的倾斜,这导致磁表面能的增加。这与闭合球壳的情况不同,其中纹理的对称性不允许在球体的赤道处的磁化的任何倾斜。此外,我们分析了在一个球冠涡核的大小,并表明,曲率诱导的涡核的存在导致的核心大小的增加独立的产品的循环和极性的漩涡。这与具有内禀涡度的平面盘的情况相反,在这种情况下,优选的循环方向以及涡核尺寸的减小或增大由循环和极性的乘积的符号相对于内禀涡度的常数的符号来确定。

英文摘要:

Geometric curvature of nanoscale magnetic shells brings about curvature-induced anisotropy and Dzyaloshinskii-Moriya interaction (DMI). Here, we derive equations to describe the profile of the magnetic vortex state in a spherical cap. We demonstrate that the azimuthal component of magnetization acquires a finite tilt at the edge of the cap, which results in the increase of the magnetic surface energy. This is different compared to the case of a closed spherical shell, where symmetry of the texture does not allow any tilt of magnetization at the equator of the sphere. Furthermore, we analyze the size of the vortex core in a spherical cap and show that the presence of the curvature-induced DMI leads to the increase of the core size independent of the product of the circulation and polarity of the vortex. This is in contrast to the case of planar disks with intrinsic DMI, where the preferred direction of circulation as well as the decrease or increase of the size of vortex core is determined by the sign of the product of the circulation and polarity with respect to the sign of the constant of the intrinsic DMI.

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