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

TL;DR

This paper exactly solves a frustrated spin-1/2 Ising-Heisenberg model on a Kagome lattice, demonstrating that Dzyaloshinskii-Moriya anisotropy removes the disordered spin liquid state, revealing spontaneous order.

Contribution

It provides an exact solution linking the Ising-Heisenberg model to the simpler Ising model, showing how Dzyaloshinskii-Moriya anisotropy induces order in a frustrated system.

Findings

Disordered spin liquid state is eliminated by Dzyaloshinskii-Moriya anisotropy.

Exact mapping simplifies analysis of the frustrated model.

Spontaneous order emerges due to anisotropy effects.

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.