{"title":"Yang–Mills field strength and classical trajectories of electrons in Rashba spin–orbit-coupled systems","authors":"Jinki Hong, Hyoungtae Kim, Sangsu Kim","doi":"10.1007/s40042-024-01073-z","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":677,"journal":{"name":"Journal of the Korean Physical Society","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Korean Physical Society","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s40042-024-01073-z","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
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.
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.