Ground-State Phase Diagram of the S = 1 Kitaev-Γ Model on a Bond-Anisotropic Honeycomb Lattice

We obtain the ground-state phase diagram of the S = 1 Kitaev-Γ model on a bond-anisotropic honeycomb lattice using exact diagonalization, density-matrix renormalization group, and infinite time-evolving block decimation. The Tomonaga–Luttinger liquid region of the S = 1/2 model is replaced by a Haldane-gap phase at d = 0 that appears to extend into a Haldane-gap-like region for finite d. The bond-isotropic line d = 1 shows finite-size phase-boundary signatures over an extended range.