arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1006.3208cond-mat.str-el
收藏

拓扑绝缘体表面态的探测:磁场下的近藤效应和Friedel振荡

Probing surface states of topological insulator: Kondo effect and Friedel oscillation under magnetic field

Minh-Tien Tran, Ki-Seok Kim

摘要:

本文讨论了磁性杂质在三维拓扑绝缘体表面态中的作用。首先,我们证明了拓扑表面的Kondo效应与石墨烯表面的Kondo效应基本相同,表明拓扑表面的有效杂质作用与石墨烯表面的有效杂质作用一致。其次,我们研究了$z$定向磁场($h$)在近藤效应中的作用,并表明杂质局域态密度的峰分裂不遵循$h$线性行为,这是软带隙近藤模型中的典型物理行为。我们讨论了起源是自旋锁定在螺旋表面。第三,我们研究了磁性杂质周围的Friedel振荡。结果表明,螺旋面的Friedel振荡模式与石墨烯面的Friedel振荡模式相同,在石墨烯面中,如果没有引入谷间散射,则表现为平方反比行为$\sim r^{-2}$.然而,磁场的引入导致电子态密度从平方反比物理到拓扑绝缘体表面的逆行为$\sim r^{-1}$,而在石墨烯近藤效应中它仍然保持为$\sim r^{-2}$。我们讨论了这是由磁场引起的自旋翻转引起的。

英文摘要:

We address three issues on the role of magnetic impurities in the surface state of a three dimensional topological insulator. First, we prove that the Kondo effect of the topological surface is essentially the same as that of the graphene surface, demonstrating that an effective impurity action of the topological surface coincides with that of the graphene surface. Second, we study the role of the $z$-directional magnetic field ($h$) in the Kondo effect, and show that the peak splitting in the impurity local density of states does not follow the $h$-linear behavior, the typical physics in the soft-gap Kondo model. We discuss that the origin is spin locking in the helical surface. Third, we examine the Friedel oscillation around the magnetic impurity. It turns out that the pattern of Friedel oscillation in the helical surface is identical to that of the graphene surface, displaying the inverse-square behavior $\sim r^{-2}$ if the inter-valley scattering is not introduced in the graphene case. However, introduction of the magnetic field leads the electron density of states from the inverse-square physics to the inverse behavior $\sim r^{-1}$ in the topological insulator's surface while it still remains as $\sim r^{-2}$ in the graphene Kondo effect. We discuss that this originates from spin flipping induced by magnetic field.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑