论文标题
曲率诱导的Dzyaloshinskii-Moriya相互作用对球形帽的磁涡流纹理的影响
Impact of curvature-induced Dzyaloshinskii-Moriya interaction on magnetic vortex texture in spherical caps
论文作者
论文摘要
纳米级磁壳的几何曲率带来了曲率诱导的各向异性和Dzyaloshinskii-Moriya相互作用(DMI)。在这里,我们得出方程式以描述球形盖中磁性涡流状态的曲线。我们证明,磁化的方位角成分在盖子边缘获得有限的倾斜,从而导致磁表面能的增加。与封闭的球形壳相比,这是不同的,在封闭的球形壳中,纹理的对称性不允许在球体的赤道处进行任何磁化倾斜。此外,我们在球形帽中分析了涡旋芯的大小,并表明曲率诱导的DMI的存在导致核心大小的增加,而与涡流的循环和极性无关。这与具有固有DMI的平面磁盘相反,在该磁盘的情况下,循环的首选方向以及涡旋芯大小的减小或增加取决于循环和极性相对于固有DMI常数的符号而确定的。
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.