Hund’s Rule-Driven Dzyaloshinskii-Moriya Interaction at3d−5dInterfaces

Abstract

Using relativistic first-principles calculations, we show that the chemical trend of Dzyaloshinskii−Moriya interaction (DMI) in 3d-5d ultrathin films follows Hund's first rule with a tendency similar to their magnetic moments in either the unsupported 3d monolayers or 3d-5d interfaces. We demonstrate that, besides the spin-orbit coupling (SOC) effect in inversion asymmetric noncollinear magnetic systems, the driving force is the 3d orbital occupation and their spin flip/mixing processes with the spin-orbit active 5d states control directly the sign and magnitude of the DMI. The magnetic chirality changes are discussed in the light of the interplay between SOC, Hund's first rule, and the crystal field splitting of d orbitals.

B–T phase diagram of Pd/Fe/Ir(111) computed with parallel tempering Monte Carlo

“…Skyrmions are also present in Fe (ultra-)thin-films, e.g., Fe monolayer on Ir(111) [20], Pd/Fe bilayer on Ir(111) [9,10,[30][31][32], 3 monolayers of Fe on Ir(111) [33] and Co ultrathin film Co/Ru(0001) [34]. In that case, magnetic interactions can be tuned by the choice of the magnetic film [35,36], the hybridization with the different substrates [11,35,37,38], or optional overlayers [9]. Pd/Fe/Ir(111) shows isolated skyrmions which can be created and annihilated by the spin-polarized current induced by the spin-polarized scanning tunneling microscope tip [30].…”

Spin-wave propagation in the presence of inhomogeneous Dzyaloshinskii-Moriya interactions

“…In such thin film structures, a spatial modulation of interfacial DMI can be realized by a local gating [56], a local modulation of the interface between ferromagnetic layer and heavy metal layer [57][58][59], or a local variation of the heavy metal thickness [60]. For a magnonic crystal with spatially modulated DMI, we establish an effective Schrödinger equation for spin waves and derive spin-wave boundary conditions at the boundary between two regions having different DMI values.…”

Reversible control of Dzyaloshinskii-Moriya interaction at the graphene/Co interface via hydrogen absorption

“…interfaces follows Hund's rule with a similar tendency to their magnetic moments [22]. To verify whether the underlying mechanism of the DMI change in our case is associated from the magnetic moment variation, we plot the corresponding average magnetic moment of each systems in Fig.…”

“…In order to elucidate the origin of DMI oscillations, in Fig. 1 (c [22] demonstrated that besides the SOC, the electronic occupation of magnetic atom also strongly affects the DMI. In particular, the DMI in 3d/5d…”