Spatially frustrated S=1S=1 Heisenberg antiferromagnet with single ion anisotropy

•The effect of anisotropy and frustrating next nearest neighbor was studied.•The phase diagram at T=0T=0 was presented.•The spin gap was calculated in the disordered phase.

Using the SU(3) Schwinger boson formalism, I study the S=1S=1 square lattice Heisenberg antiferromagnet, at zero temperature, with spatially anisotropic nearest-neighbor couplings frustrated by a next-nearest neighbor interaction and single ion anisotropy. The phase diagram at zero temperature is presented. My calculations show two magnetically ordered phases separated by a quantum-disordered region for all values of the anisotropy.