arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1611.00436cond-mat.mtrl-sci
收藏

薄铁磁纳米盘中的涡旋力学

Vortex Mechanics in Thin Ferromagnetic Nanodisks

C. E. Zaspel

摘要:

计算了非圆椭圆纳米盘中磁涡旋的静磁能。众所周知,圆盘中的涡旋能量通过消除圆盘边缘的静磁荷而被最小化。从圆盘的这个例子开始,一个圆的内部到一个椭圆的内部的保角映射导致椭圆盘的磁化。椭圆内部的这种磁化在盘边缘也没有静磁荷,这也使静磁能最小化。正如预期的那样,能量与涡核离椭圆中心的位移成二次关系,但反映了椭圆的较低对称性。通过静磁积分的数值积分,得到椭圆度值从1.0到约0.3的能量的一般表达式。最后得到了由Thiele方程描述的旋光频率的一般表达式。

英文摘要:

The magnetostatic energy is calculated for a magnetic vortex in a noncircular elliptical nanodisk. It is well-known that the energy of a vortex in the circular disk is minimized though an ansatz that eliminates the magnetostatic charge at the disk edge. Beginning with this ansatz for the circular disk, a conformal mapping of a circle interior onto the interior of an ellipse results in the magnetization of the elliptical disk. This magnetization in the interior of an ellipse also has no magnetostatic charge at the disk edge also minimizing the magnetostatic energy. As expected the energy has a quadratic dependence on the displacement of the vortex core from the ellipse center, but reflecting the lower symmetry of the ellipse. Through numerical integration of the magnetostatic integral a general expression for the energy is obtained for ellipticity values from 1.0 to about 0.3. Finally a general expression for the gyrotropic frequency as described by the Thiele equation is obtained.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑