Bilinear-biquadratic anisotropic Heisenberg model on a triangular lattice

Abstract

Motivated by the fact that the study of disordered phases at zero temperature is of great interest, I study the spin-one quantum antiferromagnet with a next-nearest neighbor interaction on a triangular lattice with bilinear and biquadratic exchange interactions and a single ion anisotropy, using a SU(3) Schwinger boson mean-field theory. I calculate the critical properties, at zero temperature, for values of the single ion anisotropy parameter D above a critical value DC, where a quantum phase transition takes place from a higher D disordered phase to a lower D ordered phase.