Magnetic compounds with exotic Archimedean lattices

TL;DR

This paper explores new types of magnetic materials with exotic lattice structures, expanding the study of geometric frustration in magnetism.

Contribution

The paper identifies new lattice types beyond triangular and Kagome lattices that can exhibit geometric frustration.

Findings

Archimedean lattices like maple-leaf and Shastry-Sutherland are found to host geometric frustration.

A systematic search of crystal structure databases reveals materials realizing these less-studied lattices.

These findings open new avenues for studying frustrated magnetism in diverse lattice geometries.

Abstract

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.