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The S 1 pseudospin formalism was recently proposed to describe the charge degree of freedom in a model high-Tc cuprate with the on-site Hilbert space reduced to the three effective valence centers, nominally Cu ;2 ;3 . With small corrections the model becomes equivalent to a strongly anisotropic S 1 quantum magnet in an external magnetic field. We have applied a generalized mean-field approach and quantum Monte-Carlo technique for the model 2D S 1 system to find the ground state phase with its evolution under deviation from half-filling and different correlation functions. Special attention is given to the role played by the on-site correlation (“single-ion anisotropy”).

Strongly Anisotropic S=1 (Pseudo) Spin Systems: from Mean Field to Quantum Monte-Carlo