Exploring Frustrated Magnetism in the Three-Dimensional Hyper-Kagome Lattice RE₃Sc₂Ga₃O₁₂ Yuxiang Wang¹, Rabindranath Bag¹, Sara Haravifard¹ 1 Department of Physics, Duke University, Durham, NC, USA.

Two-dimensional lattices like triangular and Kagome structures are known to cause geometrical frustration among spins. The frustration is known to prevent long-range magnetic ordering down to zero temperature limit, 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. In this talk, we will present our recent studies of the magnetic properties in the RE₃Sc₂Ga₃O₁₂ family, with a focus on Yb₃Sc₂Ga₃O₁₂. This compound forms a hyper-Kagome lattice composed of corner-sharing triangles and exhibits no signatures of long-range magnetic order or spin freezing down to millikelvin temperatures. We have successfully grown high-quality single crystals of this compound and investigated their thermodynamic properties using heat-capacity and magnetization measurements. Furthermore, inelastic neutron scattering experiments were carried out to probe the crystal field excitations and magnetic dynamics of this system.