Magnetic interactions in AB-stacked kagome lattices: Magnetic structure, symmetry, and duality

Magnetic compounds that combine the effects of geometric frustration and strong spin-orbit coupling (SOC) often host exotic magnetic phases. In many cases, anisotropic lattice-dependent interactions that originate from the SOC significantly reduce the symmetry of the system and constrain the magnetic moments to specific orientations. Using numerical simulations and symmetry analysis, this study demonstrates that, in compounds with the $A\phantom{\rule{0}{0ex}}B$-stacked kagome layer structure, the anisotropy gives rise to a large number of duality transformations that provide exact mappings between the properties of distinct magnetic phases.