论文标题
二维系统中的天际纹理上电子不对称散射的理论
Theory of an electron asymmetric scattering on skyrmion textures in two-dimensional systems
论文作者
论文摘要
我们详细讨论了二维几何形状上的Skyrmion样磁纹理上的电子散射模式。特别的注意力集中在分析散射不对称方面，这是拓扑厅效应的前体。我们提出的分析结果对于强耦合和弱耦合的极限制度有效，我们还描述了访问散射问题的确切解决方案的数值方案。基于数值计算，我们研究了不对称散射的特性，以实现相互作用强度的任意幅度和磁纹理的拓扑结构。我们详细分析了磁性纹理的拓扑充电确实对于霍尔响应的出现至关重要的条件。我们还描述了由于位于磁性天空内的其他短距离杂质，因此如何修改电子散射不对称性。
We discuss in details the electron scattering pattern on skyrmion-like magnetic textures in two-dimensional geometry. The special attention is focused on analyzing the scattering asymmetry, which is a precursor of the topological Hall effect. We present analytical results valid for the limiting regimes of strong and weak coupling, we also describe the numerical scheme that gives access to the exact solution of the scattering problem. Based on the numerical computations we investigate the properties of the asymmetric scattering for an arbitrary magnitude of the interaction strength and the topology of a magnetic texture. We analyze in details the conditions when the topological charge of a magnetic texture is indeed essential for the appearance of the Hall response. We also describe how the electron scattering asymmetry is modified due to an additional short-range impurity located inside a magnetic skyrmion.
