Dynamics of the ferroquadrupolar phase of the S=1 bilinear–biquadratic model on the triangular lattice

•The SU(3) Schwinger boson formalism has been used.•The quadrupole moment was calculated.•The dynamical quadrupolar structure factor was calculated.

Using the SU(3) Schwinger bosons formalism, in a mean field approximation, I have calculated the dynamical quadrupole structure factor in the ferroquadrupolar phase of the S=1 Heisenberg model with bilinear and biquadratic exchange interactions on the triangular lattice. I have calculated the dynamical quadrupolar structure factor, which in principle could be measurable using resonant inelastic x-ray scattering, and provide evidence for the existence of spin-nematic order. There is a possibility that my calculations could be applied to the compound NiGa2S4.