AI 中文总结
该研究揭示旋转不变自旋-3/2系统的轨道霍尔效应由量子度量而非贝里曲率控制，其带内贡献在简并系统中消失，明确量子度量是简并多带系统轨道霍尔输运的关键几何量。
AI 中文摘要
我们证明，在旋转不变的自旋-3/2系统中，轨道霍尔效应起源于轨道磁矩的带间矩阵元。产生的霍尔响应由量子度量而非贝里曲率控制，揭示了一种纯几何输运机制。研究表明，与轨道磁矩和贝里曲率相关的常规带内贡献在简并系统中完全消失。这些结果确定了量子度量是控制简并多带系统中轨道霍尔输运的关键几何量。
英文摘要
We show that in rotationally invariant spin-$3/2$ systems the orbital Hall effect originates from interband matrix elements of the orbital magnetic moment. The resulting Hall response is governed by the quantum metric, rather than by the Berry curvature, revealing a purely geometric transport mechanism. Conventional intraband contributions associated with the orbital magnetic moment and Berry curvature are shown to vanish identically in degenerate systems. These results identify the quantum metric as the key geometric quantity controlling orbital Hall transport in degenerate multiband systems.
Comments7 pages, 3 figures
