Control of topological defects in space and time: Floquet skyrmionics

如何控制仿生机器人的单粒子动力学和粒子间的相互作用是仿生机器人研究的一个重要方向。空间纳米结构是实现空间光学器件功能的关键。在这个项目中，我们想探索如何将空间纳米结构与时间纳米结构结合起来。在这里，我们将关注最简单的可能设置：存在周期性时间相关场的天空。例如，可以在振荡磁场的驱动下诱导单个粒子的单向运动。我们将研究振荡场如何影响skyrmion - skyrmion相互作用，skyrmion - wall相互作用，以及更一般地说，纳米结构中skyrmion的动力学。我们将使用微磁实时模拟和分析方法。利用Floquet的形式，我们将发展一个关于天幕上的力和驱动磁系统中的激励的理论。除了对天幕本身的控制外，对与天幕相互作用的自旋流和热流的控制将是我们研究的重点。该项目的一个重要组成部分是与实验小组的密切合作。

The control of both the single-skyrmion dynamics and the interactions between skyrmions is a major goal in the field of skyrmionics. Nanostructuring in space is a key to realize functionalities of skyrmion devices. Within the project, we want to explore how nanostructuring in space can be combined with nanostructuring in time. Here we will focus on the, perhaps, simplest possible setup: skyrmions in the presence of a periodic, time dependent field. For example, it is possible to induce unidirectional motion of a single skyrmion driven by an oscillating magnetic field. We will investigate how oscillating fields influence the skyrmion‐skyrmion interaction, the skyrmion‐wall interaction and, more generally, the dynamics of skyrmions in nanostructures. We will use micromagnetic simulations in real time and analytic approaches. Using the Floquet formalism, we will develop a theory of forces on skyrmions and of excitations in driven magnetic systems. Besides the control of the skyrmions itself, also the control of spin- and heat current interacting with the skyrmions will be a focus of our investigations. An important element of the project is the close collaboration with experimental groups.