Abstract
We study the phase diagram of the isotropic J1–J1 ′–J2 Heisenberg model for spin-1 particles on an anisotropic square lattice, using the coupled-cluster method. We find no evidence for an intermediate phase between the Néel and stripe states, as compared with all previous results for the corresponding spin-1/2 case. However, we find a quantum tricritical point at J1 ′/J1≈0.66±0.03, J2/J1≈0.35±0.02, where a line of second-order phase transitions between the quasi-classical Néel and stripe-ordered phases (for J1 ′/J1≲0.66) meets a line of first-order phase transitions between the same two states (for J1 ′/J1≳0.66).
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