Abstract
Two recent publications report different boundaries for the dimerized phase of the bilinear-biquadratic spin-1 Heisenberg model with quadratic Zeeman anisotropy (see Refs. [9] and [10]). We numerically address these discrepancies for the purely biquadratic model with quadratic Zeeman term using methods based on matrix product states (MPS). We extrapolate the results beyond the purely biquadratic model in order to determine the phase boundaries of the dimerized phase and propose a modified phase diagram. Our MPS implementation incorporates SU(2) symmetry explicitly and we discuss its implementation into the MPS representation in the presence of the Zeeman anisotropy.
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