Ferroquadrupolar phase of the bilinear–biquadratic Heisenberg model on the honeycomb lattice at zero temperature

•The ferroquadrupolar order on the honeycomb lattice was studied.•The SU(3) Schwinger boson formalism was used.•The static quadrupole structure factor was calculated.

Using the SU(3) Schwinger boson formalism, also named the flavor theory, I study the ferroquadrupolar phase of the bilinear–biquadratic Heisenberg model on the honeycomb lattice at zero temperature. The dispersion relations, the quadrupole moment and the static quadrupole structure factor are calculated.