Instabilities of spin-one Kitaev Spin Liquid phase in presence of single-ion anisotropies

Recently, several candidates for Kitaev materials with a spin-1 local degree of freedom have been proposed, motivating further study of higher spin Kitaev models. Here we explore the spin-1 Kitaev honeycomb model in the presence of single-ion anisotropies, using exact diagonalization and perturbative techniques. We present results for two types of single-ion anisotropy: a D₁₁₁ anisotropy which preserves the symmetry between the three bond directions of the honeycomb lattice, and D₁₀₀ anisotropy which does not. We will show evidence of a phase transition separating the Kitaev Spin Liquid phase from more conventional phases as the magnitude of the D₁₁₁ anisotropy is varied. The limiting cases of both types of single-ion anisotropy will be discussed, as well as the differences between ferromagnetic and antiferromagnetic Kitaev couplings in this model.