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 theoretically study the Dzyaloshinskii-Moriya interaction (DMI) mediatedby band electrons with strong spin-orbit coupling (SOC). We first derive ageneral formula for the coefficient ${\bm D}_i$ of the DMI in free energy interms of Green's functions, and examine its variations in relation to physicalquantities. In general, the DMI coefficient can vary depending on physicalquantities, i.e., whether one is looking at equilibrium spin structure (${\bmD}_i$) or spin-wave dispersion (${\bm D}_i^{(2)}$), and the obtained formulahelps to elucidate their relations. By explicit evaluations for a magnetictopological insulator and a Rashba ferromagnet with perpendicularmagnetization, we observe ${\bm D}_i^{(2)} \ne {\bm D}_i$ in general. In thelatter model, or more generally, when the magnetization and the spin-orbitfield are mutually orthogonal, ${\bm D}_i$ is exactly related to theequilibrium spin current for arbitrary strength of SOC, generalizing thesimilar relation for systems with weak SOC. Among various systems with strongSOC, magnetic Weyl semimetals are special in that ${\bm D}_i^{(2)} = {\bmD}_i$, and in fact, the DMI in this system arises as the chiral anomaly.

Dzyaloshinskii-Moriya interaction in strongly spin-orbit-coupled systems: General formula and application to topological and Rashba materials