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The spin-1/2 Ising-Heisenberg model on the triangulated Kagome(triangles-in-triangles) lattice is exactly solved by establishing a precisemapping correspondence to the simple spin-1/2 Ising model on Kagome lattice. Itis shown that the disordered spin liquid state, which otherwise occurs in theground state of this frustrated spin system on assumption that there is asufficiently strong antiferromagnetic intra-trimer interaction, is eliminatedfrom the ground state by arbitrary but non-zero Dzyaloshinskii-Moriyaanisotropy.

journal of physics. conference series

Spontaneous order in the highly frustrated spin-1/2 Ising-Heisenberg  model on the triangulated Kagome lattice due to the Dzyaloshinskii-Moriya  anisotropy