Xie L, Wang P, Pan X Q
National Laboratory of Solid State Microstructures and College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, People's Republic of China.
National Laboratory of Solid State Microstructures and College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, People's Republic of China; Department of Materials Science and Engineering, University of Michigan-Ann Arbor, Ann Arbor, MI 48109, USA.
Micron. 2014 Aug;63:9-14. doi: 10.1016/j.micron.2014.02.015. Epub 2014 Mar 19.
The novel discovery of electron vortices carrying quantized orbital angular momentum motivated intensive research of their basic properties as well as applications, e.g. structural characterization of magnetic materials. In this paper, the fundamental interactions of electron vortices within infinitely long atomic-column-like electromagnetic fields are studied based on the relativistically corrected Pauli-Schrödinger equation and the perturbation theory. The relative strengths of three fundamental interactions, i.e. the electron-electric potential interaction, the electron-magnetic potential/field interaction and the spin-orbit coupling are discussed. The results suggest that the perturbation energies of the last two interactions are in an order of 10(3)-10(4) smaller than that of the first one for electron vortices. In addition, it is also found that the strengths of these interactions are strongly dependant on the spatial distributions of the electromagnetic field as well as the electron vortices.
携带量子化轨道角动量的电子涡旋这一新颖发现激发了对其基本性质以及应用（例如磁性材料的结构表征）的深入研究。本文基于相对论修正的泡利 - 薛定谔方程和微扰理论，研究了无限长原子柱状类电磁场中电子涡旋的基本相互作用。讨论了三种基本相互作用，即电子 - 电势相互作用、电子 - 磁势/场相互作用以及自旋 - 轨道耦合的相对强度。结果表明，对于电子涡旋，后两种相互作用的微扰能量比第一种相互作用的微扰能量小10³ - 10⁴数量级。此外，还发现这些相互作用的强度强烈依赖于电磁场以及电子涡旋的空间分布。
