Corboz, PhilippeLaeuchli, Andreas M.Totsuka, KeisukeTsunetsugu, Hirokazu2012-07-042012-07-042012-07-04200710.1103/PhysRevB.76.220404https://infoscience.epfl.ch/handle/20.500.14299/83386WOS:000251986400005Recent theoretical studies raised the possibility of a realization of spin nematic states in the S = 1 triangular lattice compound NiGa2S4. We study the bilinear-biquadratic spin 1 chain in a zig-zag geometry by means of the density matrix renormalization group method and exact diagonalization. We present the phase diagram focusing on antiferromagnetic interactions. Adjacent to the known Haldane-double Haldane and the extended critical phase with dominant spin nematic correlations we find a trimerized phase with a nonvanishing energy gap. We discuss results for different order parameters, energy gaps, correlation functions, and the central charge, and make connection to field theoretical predictions for the phase diagram.Matrix Renormalization-GroupSpin-1 ChainHaldane Phasetext::journal::journal article::research article