“…The topology of the electronic band structure is closely linked to the Berry curvature in the k-space (6,7), for which the spin-orbit coupling (SOC) plays a key role. In principle, it is also possible to realize nontrivial topology in a bosonic system, such as a system of magnonic excitations (8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18), since the band topology can be treated independently from the statistical nature of the particles. Such topological excitations and the corresponding nontrivial in-gap edge states are chiral and robust against disorder; it is thus believed that the emergence and manipulation of the topological magnonic states bare a tremendous promise for future applications in magnonics and topological spintronics, such as, e.g., quantized pumping of magnons (19), spin-wave beam splitter (10), magnon waveguides (20), chiral traveling-wave magnon amplifiers (21), and magnon-driven orbitronics (22).…”