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We report on a realistic and rather general scheme where noncollinearmagnetic textures proximitized with the most common $s$-wave superconductor canappear as the alternative to $p$-wave superconductor{--}the prime proposal torealize two-dimensional (2D) Kitaev model for topological superconductors(TSCs) hosting Majorana flat edge mode (MFEM). A general minimal Hamiltoniansuitable for magnet/superconductor heterostructures reveals robust MFEM withinthe gap of Shiba bands, spatially localized at the edges of a 2D magneticdomain of spin-spiral. We finally verify this concept by considering Mn (Cr)monolayer grown on a $s$-wave superconducting substrate, Nb(110) under strain(Nb(001)). In both 2D cases, the antiferromagnetic spin-spiral solutionsexhibit robust MFEM at certain domain edges. This approach, particularly whenthe MFEM appears in the TSC phase for such heterostructure materials, offers aperspective to extend the realm of the TSC in 2D.

Topological Superconductivity by Engineering Noncollinear Magnetism in  Magnet/ Superconductor Heterostructures: A Realistic Prescription for 2D  Kitaev Model