Magnetic compounds with exotic Archimedean lattices

Area of Science:

• Condensed Matter Physics
• Materials Science
• Quantum Magnetism

Background:

• Geometrically frustrated magnetic materials are crucial for studying emergent quantum magnetism.
• Triangular and Kagome lattices are well-studied platforms for geometrical frustration.
• Geometrical frustration arises from competing magnetic interactions on specific lattice structures.

Purpose of the Study:

• To broaden the scope of geometrically frustrated lattices beyond the commonly studied triangular and Kagome types.
• To identify inorganic materials exhibiting less-common, triangle-containing Archimedean lattices.
• To offer new avenues for exploring frustrated magnetism in diverse material settings.

Main Methods:

• Systematic literature review.
• Inorganic Crystal Structure Database (ICSD) search.
• Identification of materials based on Archimedean lattice structures containing triangular motifs.

Main Results:

• Identified materials realizing maple-leaf (ML), Shastry-Sutherland (SS), trellis, ruby, and star lattices.
• Demonstrated that lattices beyond triangular and Kagome can exhibit geometrical frustration.
• Highlighted the potential of these less-common lattices for hosting novel magnetic phenomena.

Conclusions:

• The concept of geometrical frustration can be extended to a wider range of lattice types.
• The identified materials provide a rich platform for future research in frustrated magnetism.
• This work expands the material landscape for exploring emergent quantum magnetism.