  It is well known that spin nematic phases can appear in either frustrated
magnets or in those described by Hamiltonians with large exotic non-Heisenberg
terms like biquadratic exchange. We show in the present study that
non-frustrated spin-1 1D, 2D and 3D antiferromagnets with single-ion easy-axis
anisotropy can show nematic phases in strong magnetic field. For 1D case we
support our analytical results by numerical ones.
