“…Introduction.-With the experimental observation of a skyrmion lattice in three-dimensional helical magnets MnSi 1 , Fe 1−x Co x Si 2 , and thin films of FeGe 3 , significant attention has been paid to systematic study of noncollinear magnetic states and associated magnetoelectric phenomena, where magnetic skyrmions play a prominent role [4][5][6][7] . Analogous to a topologically protected field-theoretical solution due to Skyrme 8,9 the stability of this particle-like spin texture is guaranteed by topological arguments, making it immune to smooth perturbations [10][11][12] . In chiral magnets, skyrmions are stabilized due to a delicate interplay between direct exchange, favoring collinear ordering, and asymmetric exchange known as Dzyaloshinskii-Moriya interaction (DMI) that results in spin canting 4,5 .…”