Yang–Mills field strength and classical trajectories of electrons in Rashba spin–orbit-coupled systems

IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Journal of the Korean Physical Society Pub Date : 2024-05-29 DOI:10.1007/s40042-024-01073-z
Jinki Hong, Hyoungtae Kim, Sangsu Kim
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Abstract

It is a long standing issue how non-Abelian entities take shape in macroscopic real space and are measured technically. Based on the gauge theory cast on recent spintronic researches, we obtained the expectation values of the Yang–Mills field strength in Rashba systems interfaced with a hard wall. This non-Abelian quantity is proportional to the spin density near the walls, when an external electric field is applied. The Yang–Mills field strength exerts a force on electrons, analogous to the influence of a magnetic field, and this effect is further clarified through the introduction of an effective scalar potential derived from a Landau-like gauge transformation and the analysis of electron’s classical trajectories. Our work demonstrates the feasibility of measuring the Yang–Mills field strength employing the magneto-optical Kerr effect, and provides calculated projections of the expected outcomes. Notably, these results, using gauge transformations, can be applied to other systems, including the Dresselhaus system.

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杨-米尔斯场强与拉什巴自旋轨道耦合系统中电子的经典轨迹
非阿贝尔实体如何在宏观现实空间中成形并被技术测量是一个长期存在的问题。基于近年来自旋电子研究中的量规理论,我们得到了与硬壁连接的拉什巴系统中杨-米尔斯场强的期望值。当施加外部电场时,这个非阿贝尔量与墙附近的自旋密度成正比。杨-米尔斯场强对电子施加了一种力,类似于磁场的影响,通过引入从类似朗道的量规变换中导出的有效标量势和对电子经典轨迹的分析,这种效应得到了进一步的澄清。我们的工作证明了利用磁光克尔效应测量杨-米尔斯场强的可行性,并提供了对预期结果的计算预测。值得注意的是,这些使用量规变换的结果可以应用于其他系统,包括德雷斯豪斯系统。
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来源期刊
Journal of the Korean Physical Society
Journal of the Korean Physical Society PHYSICS, MULTIDISCIPLINARY-
CiteScore
1.20
自引率
16.70%
发文量
276
审稿时长
5.5 months
期刊介绍: The Journal of the Korean Physical Society (JKPS) covers all fields of physics spanning from statistical physics and condensed matter physics to particle physics. The manuscript to be published in JKPS is required to hold the originality, significance, and recent completeness. The journal is composed of Full paper, Letters, and Brief sections. In addition, featured articles with outstanding results are selected by the Editorial board and introduced in the online version. For emphasis on aspect of international journal, several world-distinguished researchers join the Editorial board. High quality of papers may be express-published when it is recommended or requested.
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