Classical Phase Diagram of Kitaev-Heisenberg Model on Kagome Lattice

Abstract

We study the classical ground states of the nearest-neighbor Kitaev-Heisenberg Hamiltonian on the kagome lattice using the Luttinger-Tizsa method and the canonical three sublattice transformation. We have computed classical phase diagram of the model. We analyzed the structure of all magnetic states entering to this phase diagram. We observed that some of the phases carry highly degenerate ground state manifolds because of the frustrated nature of the model system. In the future work we plan to study the role of farther neighbor interactions, and the effects of finite temperature with quantum fluctuations.