论文标题
由拓扑琐碎的目标天空引起的大厅效应
Hall Effect Induced by Topologically Trivial Target Skyrmions
论文作者
论文摘要
通过非稳态磁纹理移动的电子获得了浆果相，可以将其描述为有效的磁场。这种效果称为拓扑厅效应，在拓扑自旋纹理中已观察到。在最近的实验实现的驱动下，我们在这里研究了霍尔效应，以一种被称为目标天空的非人体学磁纹理。我们从简化的半经典图片开始，并表明霍尔信号是电子能量和目标天际半径的非单调函数。该观察结果将在介质环境中的Landauer-Büttiker形式上进行完全量子机械处理。我们的结论挑战了社区中的大众观点，即这种结构中的霍尔效应必然需要非零的天空数字。
Electrons moving through a noncoplanar magnetic texture acquire a Berry phase, which can be described as an effective magnetic field. This effect is known as the topological Hall effect and has been observed in topological spin textures. Motivated by recent experimental realizations, here we study the Hall effect in a nontopological magnetic texture known as a target skyrmion. We start from a simplified semiclassical picture and show that the Hall signal is a nonmonotonic function of both the electronic energy and target skyrmion radius. That observation carries over to the fully quantum mechanical treatment in a Landauer-Büttiker formalism in a mesoscopic setting. Our conclusion challenges the popular opinion in the community that the Hall effect in such structures necessarily requires a nonzero skyrmion number.
