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

Exchange coupling between localized spins and band or topological statesaccounts for giant magnetotransport and magnetooptical effects as well asdetermines spin-spin interactions in magnetic insulators and semiconductors.However, even in archetypical dilute magnetic semiconductors such asCd$_{1-x}$Mn$_x$Te and Hg$_{1-x}$Mn$_x$Te the evolution of this coupling withthe wave vector is not understood. A series of experiments have demonstratedthat exchange-induced splitting of magnetooptical spectra of Cd$_{1-x}$Mn$_x$Teand Zn$_{1-x}$Mn$_x$Te at the L points of the Brillouin zone is, incontradiction to the existing theories, more than one order of magnitudesmaller compared to its value at the zone center and can show an unexpectedsign of the effective Land\'e factors. The origin of these findings weelucidate quantitatively by combining: (i) relativistic first-principlesdensity functional calculations; (ii) a tight-binding approach that takescarefully into account k-dependence of the potential and kinetic sp-d exchangeinteractions; (iii) a theory of magnetic circular dichroism (MCD) for $E_1$ and$E_1$ + $\Delta_1$ optical transitions, developed here within the envelopefunction $kp$ formalism for the L point of the Brillouin zone in zinc-blendecrystals. This combination of methods leads to the conclusion that the physicsof MCD at the boundary of the Brillouin zone is strongly affected by thestrength of two relativistic effects in particular compounds: (i) themass-velocity term that controls the distance of the conduction band at the Lpoint to the upper Hubbard band of Mn ions and, thus, a relative magnitude andsign of the exchange splittings in the conduction and valence bands; (ii) thespin-momentum locking by spin-orbit coupling that reduces exchange splittingdepending on the orientation of particular L valleys with respect to themagnetization direction.

Momentum-resolved spin splitting in Mn-doped trivial CdTe and topological HgTe semiconductors