A Spin Nematic in a Strong Magnetic Field

The possibility of existence of a spin nematic state under a strong magnetic field in a ferromagnetic substance, which exhibits large biquadratic exchange interaction and has a magnetic ion with spin S = 1, is investigated within the mean field approximation. The case of both isotropic and anisotropic ferromagnets beyond the Heisenberg model is studied. The transformation of the geometric projection of a spin nematic with respect to the magnetic field strength has been studied.