Multipolar exchange interaction
Magnetic materials with strong spin-orbit interaction, such as: LaFeAsO, PrFe4P12, YbRu2Ge2, UO2, NpO2, Ce1−xLaxB6, URu2Si2 and many other compounds, are found to have magnetic ordering constituted by high rank multipoles, e.g. quadruple, octuple, etc.
Source: Wikipedia — Multipolar exchange interaction (CC BY-SA 4.0)