Ordering and thermal excitations in dipolar coupled single domain magnet arrays (Presentation Recording)

E. Östman, U. Arnalds, V. Kapaklis, B. Hjörvarsson
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Abstract

For a small island of a magnetic material the magnetic state of the island is mainly determined by the exchange interaction and the shape anisotropy. Two or more islands placed in close proximity will interact through dipolar interactions. The state of a large system will thus be dictated by interactions at both these length scales. Enabling internal thermal fluctuations, e.g. by the choice of material, of the individual islands allows for the study of thermal ordering in extended nano-patterned magnetic arrays [1,2]. As a result nano-magnetic arrays represent an ideal playground for the study of physical model systems. Here we present three different studies all having used magneto-optical imaging techniques to observe, in real space, the order of the systems. The first study is done on a square lattice of circular islands. The remanent magnetic state of each island is a magnetic vortex structure and we can study the temperature dependence of the vortex nucleation and annihilation fields [3]. The second are long chains of dipolar coupled elongated islands where the magnetization direction in each island only can point in one of two possible directions. This creates a system which in many ways mimics the Ising model [4] and we can relate the correlation length to the temperature. The third one is a spin ice system where elongated islands are placed in a square lattice. Thermal excitations in such systems resemble magnetic monopoles [2] and we can investigate their properties as a function of temperature and lattice parameters. [1] V. Kapaklis et al., New J. Phys. 14, 035009 (2012) [2] V. Kapaklis et al., Nature Nanotech 9, 514(2014) [3] E. Östman et al.,New J. Phys. 16, 053002 (2014) [4] E. Östman et al.,Thermal ordering in mesoscopic Ising chains, In manuscript.
偶极耦合单畴磁体阵列的有序和热激发(演讲录音)
对于磁性材料的小磁岛,磁岛的磁态主要由磁岛的交换相互作用和磁岛的形状各向异性决定。两个或更多靠近的岛屿将通过偶极相互作用相互作用。因此,一个大系统的状态将由这两个长度尺度上的相互作用决定。通过选择材料,使单个岛的内部热波动成为可能,从而可以研究扩展纳米图案磁阵列中的热排序[1,2]。因此,纳米磁阵列是研究物理模型系统的理想场所。在这里,我们提出了三个不同的研究都使用磁光成像技术来观察,在现实空间中,系统的顺序。第一项研究是在圆形岛屿的方形格子上进行的。每个岛的剩磁态是一个磁涡旋结构,我们可以研究涡旋成核和湮灭场的温度依赖性[3]。第二种是长链的偶极耦合拉长岛,其中每个岛的磁化方向只能指向两个可能的方向之一。这创建了一个系统,它在许多方面模仿了Ising模型[4],我们可以将相关长度与温度联系起来。第三种是自旋冰系统,其中细长的岛屿被放置在方形晶格中。这种系统中的热激发类似于磁单极子[2],我们可以研究它们的性质作为温度和晶格参数的函数。[1] V. Kapaklis et et .,New J. physics . 14,035009 (2012) [2] V. Kapaklis et ., Nature nanotechnology 9,514 (2014) [3] E. Östman et al.,New J. physics . 16,053002 (2014) [4] E. Östman et al.,介观Ising链的热有序,in manuscript。
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