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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Starting from the general Berry phase theory of the Dzyaloshinskii-Moriyainteraction (DMI) we derive an expression for the linear contribution of thespin-orbit interaction (SOI). Thereby, we show analytically that at the firstorder in SOI DMI is given by the ground-state spin current. We verify thisfinding numerically by ab-initio calculations in Mn/W(001) and Co/Pt(111)magnetic bilayers. We show that despite the strong SOI from the 5$d$ heavymetals DMI is well-approximated by the first order in SOI, while theground-state spin current is not. We decompose the SOI-linear contribution toDMI into two parts. One part has a simple interpretation in terms of the Zeemaninteraction between the spin-orbit field and the spin misalignment thatelectrons acquire in magnetically noncollinear textures. This interpretationprovides also an intuitive understanding of the symmetry of DMI on the basis ofthe spin-orbit field and it explains in a simple way why DMI and ground-statespin currents are related. Moreover, we show that energy currents driven bymagnetization dynamics and associated to DMI can be explained bycounter-propagating spin currents that carry energy due to their Zeemaninteraction with the spin-orbit field. Finally, we discuss options to modifyDMI by nonequilibrium spin currents excited by electric fields or light.

The relation of the Dzyaloshinskii-Moriya interaction to spin currents and to the spin-orbit field