# 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.

## Key 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.

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Source: https://tomesphere.com/paper/PMC12859656