Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagome lattice
arXiv:cond-mat/0202194 · doi:10.1103/PhysRevB.66.014422
Abstract
Due to the particular geometry of the kagomé lattice, it is shown that antisymmetric Dzyaloshinsky-Moriya interactions are allowed and induce magnetic ordering. The symmetry of the obtained low temperature magnetic phases are studied through mean field approximation and classical Monté Carlo simulations. A phase diagram relating the geometry of the interaction and the ordering temperature has been derived. The order of magnitude of the anisotropies due to Dzyaloshinsky-Moriya interactions are more important than in non-frustrated magnets, which enhances its appearance in real systems. Application to the jarosites compounds is proposed. In particular, the low temperature behaviors of the Fe and Cr-based jarosites are correctly described by this model.
6 (revtex4) twocolumn pages, 6 .eps figures. Submitted to Phys. Rev. B