Investigating Magnetic Properties of Three-Dimensional Hyper-Kagome System Re₃Sc₂Ga₃O₁₂

Frustration-induced strong quantum fluctuations are known to prevent long-range magnetic ordering in two-dimensional lattices like triangular and Kagome structures, giving rise to exotic quantum states such as spin liquids. However, in three-dimensional frustrated magnets, the realization of such dynamic correlated states remains rare. RE₃Sc₂Ga₃O₁₂ family is a promising candidate for exploring quantum spin liquid behaviour in three-dimensional frustrated spin lattices. This material, which forms a hyper-Kagome lattice with corner-sharing triangles, exhibits no long-range magnetic order or spin freezing down to milli-Kelvin temperatures. Recent experiments reveal significant spin-orbit coupling, anisotropic interactions, short-range spin correlations, and a dynamic, liquidlike ground state, supporting the presence of an effective spin ½ ground state. In this talk, we will present our recent exploration of the magnetic properties in the Re₃Sc₂Ga₃O₁₂ family, with a focus on Yb₃Sc₂Ga₃O₁₂.