Magnetism and topology in Tb-based icosahedral quasicrystal

Quasicrystal (QC) possesses a unique lattice structure with rotational symmetry forbidden in conventional crystals. The electric property is far from complete understanding and it has been long-standing issue whether the magnetic long-range order realized QC. main difficulty was lack of microscopic theory to analyze effect crystalline field (CEF) at rare-earth atom QCs. Here we show full analysis CEF Tb-based We find that anisotropy arising plays key role realizing textures on icosahedron whose vertices Tb atoms are located at. Our suggests hedgehog characterized by topological charge one stabilized also whirling-moment state unusually large three. as well states shown be switched controlling compositions non-rare-earth elements ternary compounds. model useful understand magnetism rare-earth-based QCs approximant