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.