Dynamical spin dependent susceptibility of graphene like structure

Spin dependent susceptibility of gapped graphene is calculated using Hubbard model. We found that by increasing the electron density, energy gap and repulsive coulomb interaction the imaginary part of the susceptibility peaks will be shifted towards higher frequencies and by increasing the magnetization the imaginary part of the susceptibility peaks will be shifted towards lower frequencies. It means that plasmonic frequency depends on electrons band filling, electronic coulomb repulsion, magnetization and graphene initial energy gap.