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

Abstract

The spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice is exactly solved by establishing a precise mapping correspondence to the simple spin-1/2 Ising model on Kagome lattice. It is shown that the disordered spin liquid state, which otherwise occurs in the ground state of this frustrated spin system on assumption that there is a sufficiently strong antiferromagnetic intra-trimer interaction, is eliminated from the ground state by arbitrary but non-zero Dzyaloshinskii-Moriya anisotropy.

4 pages, 3 figures, to be presented at conference Highly Frustrated Magnetism, 7-12 September 2008, Braunschweig, Germany

References in corpus (1)

• Thermodynamics of Ising spins on the Triangular Kagome Lattice: Exact analytical method and Monte Carlo simulations

Cited by in corpus (4)

• Magnetic properties of the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Topological magnons on the triangular kagome lattice
• Unconventional quantum ordered and disordered states in the highly frustrated spin-1/2 Ising-Heisenberg model on triangles-in-triangles lattices
• Ferromagnetic Heisenberg model with the Dzyaloshinskii-Moriya interaction