Magnetic compounds with exotic Archimedean lattices

Geometrically frustrated magnetic materials provide an important platform for studying emergent quantum magnetism. Materials that host a triangular or Kagome magnetic sublattice have been intensively studied within this realm of research. Here, we point out that more lattice types can be considered geometrically frustrated since a single triangular motif is sufficient to introduce geometrical frustration. Archimedean lattices present uniform tiling in space. In addition to triangular and Kagome lattices, Archimedean lattices include maple-leaf (ML), Shastry-Sutherland (SS), trellis, ruby, and star lattices that are all triangle containing. Through a systematic search of the literature and known inorganic crystal structure databases (ICSDs), we identify materials that realize these less-common lattice types, offering new opportunities to study frustrated magnetism in diverse settings.