Impact of Dzyaloshinskii-Moriya and anisotropic exchange interactions on the cubic kagome antiferromagnets Mn${}_3$X and Mn${}_3$AB

Abstract

We perform a symmetry analysis of the ABC-stacked kagome planes of Mn atoms common to the $L{1}_2$ Mn${}_3$X and antiperovskite Mn${}_3$AB alloys. In addition to the single-ion-anisotropy and Kitaev-type anisotropic exchange known to stabilize 120° spin structures in these materials, our analysis results in a staggered Dzyaloshinskii-Moriya interaction and further gamma-type anisotropic exchange between nearest-neighbor spins. The presence of these new terms is shown not to affect the energetics of the 120° ground-states which explains their absence in prior minimal magnetic models. We go on to show, however, that their influence becomes apparent when spin-wave excitations are considered. We highlight these effects by calculating inelastic neutron scattering cross-sections to illustrate experimental means of probing the existence and relative strengths of these cloaked interactions.

References in corpus (5)

• Giant magnetic anisotropy of the bulk antiferromagnets IrMn and IrMn3
• Anomalous Hall effect in non-collinear antiferromagnetic antiperovskite Mn${}_3$Ni${}_{1-x}$Cu${}_x$N
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
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Cited by in corpus (1)

• Hall mass and transverse Noether spin currents in noncollinear antiferromagnets