Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from DMRG

We investigate a highly frustrated model of spin-1 degrees of freedom on the triangular lattice, with nearest- and next-nearest-neighbor antiferromagnetic S·S interactions and nearest-neighbor (S·S)² interactions. Using the density matrix renormalization group (DMRG) technique, we find a large variety of phases, including three magnetic orders, spin nematic phases, and at least one disordered phase that may be a spin liquid.