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A flat band in fermionic system is a dispersionless single-particle statewith a diverging effective mass and nearly zero group velocity. These flatbands are expected to support exotic properties in the ground state, whichmight be important for a wide range of promising physical phenomena. For manyapplications it is highly desirable to have such states in Dirac materials, butso far they have been reported only in non-magnetic Dirac systems. In this workwe propose a realization of topologically protected spin-polarized flat bandsgenerated by domain walls in planar magnetic topological insulators. Usingfirst-principles material design we suggest a family of intrinsicantiferromagnetic topological insulators with an in-plane sublatticemagnetization and a high N\'eel temperature. Such systems can host domain wallsin a natural manner. For these materials, we demonstrate the existence ofspin-polarized flat bands in the vicinity of the Fermi level and discuss theirproperties and potential applications.

Domain wall induced spin-polarized flat bands in antiferromagnetic topological insulators