Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives

Abstract: Condensed matter physics continues to seek new frustrated quantum materials that not only deepen our understanding of fundamental physical phenomena but also hold promise for transformative technologies. In this review article, we highlight the unique features of chiral spin topology and review the topological phenomena recently identified in trillium lattice compounds. Based on the unique spin states realized in these systems, we explore the potential for realizing various theoretically proposed chiral quantum phases. We examine representative materials including the magnetic insulating compound K2Ni2(SO4)3 and and the intermetallic EuPtSi discussing both experimental findings and theoretical predictions, while outlining several key questions. Finally, we offer a perspective on promising research directions aimed at uncovering novel emergent behavior in chiral trillium lattice-based materials.