标题： 电子离域轨道运动的边缘Edelstein效应 显示英文标题

标题： Orbital Edelstein effect of electronic itinerant orbital motion at edges

摘要： 在轨道角动量（OAM）的研究中，重点一直放在原子内部的贡献上。然而，近期研究开始转向探索原子间对OAM动力学的贡献。本文中，我们研究了由边缘处原子间OAM引起的轨道Edelstein效应（OEE）。我们探讨了边缘态内的OAM纹理，并利用基于轨道$s$的几个晶格模型揭示了边缘处的OAM积累。通过比较具有不同形状边缘的滑移面，我们不仅阐明了电子摇摆运动在塑造OAM纹理中的作用，还突出了累积过程中体-边界对应关系的缺失。拓扑绝缘体和高阶拓扑绝缘体模型进一步证实了这些发现，并提供了高阶拓扑与OEE之间关系的证据。我们的研究推进了对轨道物理的理解，并将其范围扩展到高阶拓扑绝缘体。 显示英文摘要

摘要： In the study of orbital angular momentum (OAM), the focus has been predominantly on the intra-atomic contribution. However, recent research has begun to shift towards exploring the inter-atomic contribution to OAM dynamics. In this paper, we investigate the orbital Edelstein effect (OEE) arising from the inter-atomic OAM at the edges. We explore the OAM texture within edge states and unveil the OAM accumulation at the edges using several lattice models based on the $s$ orbital. By comparing slabs with differently shaped edges, we not only clarify the role of electron wiggling motion in shaping OAM texture but also highlight the absence of bulk-boundary correspondence in the accumulation process. The topological insulator and higher-order topological insulator models further confirm these findings and provide evidence for the relationship between the higher-order topology and the OEE. Our study advances the comprehension of orbital physics and extends its scope to higher-order topological insulators.