Magnetic Kagome materials: bridging fundamental properties and topological quantum applications.

Kagome materials, characterized by their unique lattice structure and electronic properties such as Dirac cones, flat bands, van Hove singularities, and topologically nontrivial surface states, have become a focal point in solid state chemistry and condensed matter physics. The combination of spin-orbit coupling (SOC) and magnetism in these materials leads to several notable phenomena, such as the large anomalous Hall effect and anomalous Nernst effect observed in noncollinear antiferromagnets like Mn₃Sn and Mn₃Ge and Weyl semimetal behaviour in Co₃Sn₂S₂. The interplay between charge order, superconductivity, and symmetry breaking in materials like AV₃Sb₅, LaRu₃Si₂, and CeRu₂ unveils a rich landscape of emergent quantum phenomena, in addition to the distorted Kagome lattice in HoAgGe, along with the flat band, saddle point, and Dirac cones in YMn₆Sn₆. Topological skyrmions in FeGe and the quantum Chern insulating phase in TbMn₆Sn₆ further underscore the rich physics of these materials. Therefore, Kagome materials are uniquely suited to study the interaction between topology, magnetism, and electron correlation. This review comprehensively covers the progress in topological Kagome magnets, the fundamental concepts, and the connections between their exotic properties and the Kagome lattice structure. In conclusion, several open questions and future research directions are highlighted, providing valuable insights for researchers aiming to advance this integrated field. This review serves as a reference for understanding the potential of Kagome materials and their future advancements, fostering further exploration of their complex and promising properties.