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E.Y. Vedmedenko, L. Udvardi, P. Weinberger, R. Wiesendanger:
"Chiral magnetic ordering in two-dimensional ferromagnets with competing Dzyaloshinsky-Moriya interactions";
Physical Review B, 75 (2007), 1044311 - 1044318.

Chiral magnetic ordering due to Dzyaloshinsky-Moriya interaction on two-dimensional lattices is studied
theoretically. Several competing Dzyaloshinsky-Moriya vectors are introduced on the basis of symmetry arguments.
The role of the exchange interaction, magnetic anisotropy, and dipolar coupling for the ordering in
chiral nanomagnets is investigated. It is demonstrated that the periodicity of the modulated structure, which is
determined by all interactions involved, is lattice dependent; the direction of spiral propagation and orientation
of magnetization is determined by the competition between different Dzyaloshinsky-Moriya vectors and anisotropy;
the anisotropy can induce a domain formation or destroy the chiral ordering depending on its
orientation. We show that the Dzyaloshinsky-Moriya coupling is responsible for the chiral magnetic ordering
in Fe/W(110).