论文标题
曲率引起的天际质量
Curvature-Induced Skyrmion Mass
论文作者
论文摘要
我们通过采用假想的时间量子场理论方法研究了磁空对弹性变形几何形状的传播。我们证明了问题的欧几里得动作带有表面空间度量元素的信息，并根据一组集体坐标来开发Skyrmion动力学的描述。我们揭示了具有非恒定曲率的几何形状中出现的新型曲率驱动效应，从而明确破坏了平坦空间的翻译不变性。特别是，对于通过曲线缺陷稳定的天空，惯性项和固定电势是由不同的曲率产生的，而这两个术语都在平距离极限中消失了。
We investigate the propagation of magnetic skyrmions on elastically deformable geometries by employing imaginary time quantum field theory methods. We demonstrate that the Euclidean action of the problem carries information of the elements of the surface space metric, and develop a description of the skyrmion dynamics in terms of a set of collective coordinates. We reveal that novel curvature-driven effects emerge in geometries with non-constant curvature, which explicitly break the translational invariance of flat space. In particular, for a skyrmion stabilized by a curvilinear defect, an inertia term and a pinning potential are generated by the varying curvature, while both of these terms vanish in the flat-space limit.
