English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We address three issues on the role of magnetic impurities in the surfacestate of a three dimensional topological insulator. First, we prove that theKondo effect of the topological surface is essentially the same as that of thegraphene surface, demonstrating that an effective impurity action of thetopological surface coincides with that of the graphene surface. Second, westudy 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 doesnot follow the $h$-linear behavior, the typical physics in the soft-gap Kondomodel. We discuss that the origin is spin locking in the helical surface.Third, we examine the Friedel oscillation around the magnetic impurity. Itturns out that the pattern of Friedel oscillation in the helical surface isidentical to that of the graphene surface, displaying the inverse-squarebehavior $\sim r^{-2}$ if the inter-valley scattering is not introduced in thegraphene case. However, introduction of the magnetic field leads the electrondensity of states from the inverse-square physics to the inverse behavior $\simr^{-1}$ in the topological insulator's surface while it still remains as $\simr^{-2}$ in the graphene Kondo effect. We discuss that this originates from spinflipping induced by magnetic field.

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