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 (17)

• Large anomalous Hall effect driven by non-vanishing Berry curvature in non-collinear antiferromagnetic Mn3Ge
• Anomalous Hall effect arising from noncollinear antiferromagnetism
• Linear spin wave theory for single-Q incommensurate magnetic structures
• Theory of Thermal Hall Effect in Quantum Magnets
• Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagome lattice
• Giant magnetic anisotropy of the bulk antiferromagnets IrMn and IrMn3
• Order and excitations in large-$S$ kagomé-lattice antiferromagnets
• Electrical current switching of the noncollinear antiferromagnet Mn${}_3$GaN
• Anomalous Hall effect in non-collinear antiferromagnetic antiperovskite Mn${}_3$Ni${}_{1-x}$Cu${}_x$N
• Manipulating Anomalous Hall Antiferromagnets with Magnetic Fields
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Magnonic Analogs of Topological Dirac Semimetals
• Topological thermal Hall effect driven by fluctuation of spin chirality in frustrated antiferromagnets
• Monte Carlo simulations of magnetic ordering in the fcc Kagome lattice
• Spin waves in the anisotropic fcc kagome antiferromagnet
• Magnetic interactions in AB-stacked kagome lattices: magnetic structure, symmetry, and duality
• Impact of further-range exchange and cubic anisotropy on magnetic excitations in the fcc kagome antiferromagnet IrMn3

Cited by in corpus (1)

• Hall mass and transverse Noether spin currents in noncollinear antiferromagnets