Coupling between magnetism and topology: From fundamental physics to topological magneto-electronics

Magnetism and topological physics are both well-developed disciplines, and their combination is a demandand foundation for the development of next-generation magneto-electronics. Magnetic topological materials areimportant products of coupling between magnetic order and topological physics, providing material carrier andregulatory degrees of freedom for novel topological physics. Magnetic Weyl semimetals realize Weyl fermionstates under time-reversal symmetry breaking, leading to a host of novel magnetic, electric, thermal, and opticaleffects through enhanced Berry curvature originating from topology. The interaction between Weyl electronsand magnetic order also establishes topological electronic physics as a new principle and driving force formagneto-electronic applications. At present, the primary task and characteristic of the first development stageof magnetic topological materials is to discover new states and effects, while the understanding of interactionbetween topologically nontrivial electrons in momentum space and magnetic order in real space has receivedattention of researchers. The comprehensive advances of these two stages will accumulate the physicalfoundation and application explorations for topological magneto-electronics. This paper focuses on the twodevelopment stages of magnetic topological materials and discusses three aspects: (i) proposal and realization ofstrategy for magnetic topological materials; (ii) exploration of electronic states with nontrivial topology underuniform magnetic order and their associated novel physical properties; (iii) the interaction between localizedmagnetic states and topological electrons. It provides an in-depth discussion on current hot topics anddevelopment trends in the field, and future development in topological magneto-electronics, thereby assisting inthe future development of topological spin quantum devices.