Non-coplanar antisymmetric exchange in the ferromagnet PbMnBO4

Martynov S.N.// Journal of Magnetism and Magnetic Materials

https://doi.org/10.1016/j.jmmm.2025.173283

To determine the direction of DM vector in the magnets with two non-coplanar super-exchange paths, a criterion based on an asymmetry of distribution of ligands between interacting spins is proposed. The direction of DM vector in ${PbMnBO}_{4}$ corresponds to structural formula following from this criterion. The exchange paths, allowing the existence of the two-bridge DM interaction between neighboring ${Mn}^{3 +}$ -ions in the chains, are considered. The possible mechanisms of antisymmetric exchange via two ligands in this crystal are discussed.