ONE-DIMENSIONAL DYNAMICS OF THE DOMAIN BOUNDARY IN A SEVEN-LAYER FERROMAGNETIC STRUCTURE

V. N. Nazarov, K. Samsonov, E. Ekomasov
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Abstract

The dynamics of the domain boundary is considered using the example of a seven-layer ferromagnetic structure with three thin and four wide magnetic layers. The structure of the domain boundary is represented as a kink solution of the sine-Gordon equation. The equation of motion for magnetization was solved numerically using an explicit scheme. The discretization of the equation was carried out according to a standard five-point scheme of the "cross" type. The paper shows the features of the dynamics of the domain boundary in a multilayer magnetic system in the presence of thin magnetic layers with an increased value of the magnetic anisotropy constant. Thin layers with an increased value of the magnetic anisotropy constant compared to the homogeneous state represent potential barriers to the moving domain boundary. Thin layers with an increased magnitude of magnetic anisotropy compared to a homogeneous state represent potential barriers to a moving domain boundary. A diagram of possible scenarios of the dynamics of the domain boundary is constructed depending on the initial velocity of its movement and the distance between three thin magnetic layers. The maximum value of the kink velocity for reflection from all potential barriers, depending on their size, is obtained. With an increase in the height and width of the barrier, the value of such a threshold maximum reflection velocity of the domain boundary increases nonlinearly. With a sufficiently high barrier height, there is already an almost linear dependence on the width of this threshold velocity. With a slight increase in the speed of movement of the domain boundary, the kink can pass through the first barrier, but it is reflected from the second barrier. There is also a case of kink oscillation between the second and third potential barriers. Such fluctuations are clearly inharmonious. The dependence of the threshold velocity on the distance between the barriers is obtained. As the distance between the barriers increases, the threshold speed value tends to a value equal to the threshold speed for one barrier. In the work, the minimum value of the speed of the domain boundary of the passage of all layers, depending on the parameters of potential barriers, is obtained. It is also found that there is a critical distance separating the dynamics of the domain boundary into two regions with qualitatively different behavior of the system.
七层铁磁结构中畴边界的一维动力学
以具有三薄四宽磁层的七层铁磁结构为例,研究了磁畴边界的动力学特性。区域边界的结构表示为正弦-戈登方程的扭结解。采用显式格式对磁化运动方程进行了数值求解。根据标准的“交叉”型五点格式对方程进行离散化。本文研究了薄磁层存在时,磁各向异性常数增大时多层磁系统的畴边界动力学特征。与均匀态相比,磁各向异性常数值增加的薄层代表了移动畴边界的潜在障碍。与均匀状态相比,磁各向异性增加的薄层代表了移动畴边界的潜在障碍。根据其运动的初始速度和三层薄磁层之间的距离,构造了畴边界动力学的可能情景图。得到了所有势垒反射的扭结速度的最大值,这取决于势垒的大小。随着势垒高度和宽度的增加,畴边界最大反射速度阈值呈非线性增加。当屏障高度足够高时,与阈值速度宽度的关系几乎是线性的。当区域边界的移动速度略有增加时,扭结可以穿过第一个障壁,但会被第二个障壁反射。在第二势垒和第三势垒之间也存在扭结振荡。这种波动显然是不和谐的。得到了阈值速度与障碍物之间距离的关系。随着障碍物之间距离的增加,阈值速度趋向于等于一个障碍物的阈值速度。在工作中,得到了各层通过的域边界速度的最小值,这取决于势垒的参数。研究还发现,存在一个临界距离,将系统的动力学边界划分为两个性质不同的区域。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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