  We theoretically investigate the effect of the non-magnetic and magnetic
impurities to the 2D parabolic Dirac system. The induced charge density by the
charged impuri- ty is obtained by the linear response theory within the random
phase approximation. We also detailly calculate the RKKY interaction between
two magnetic impurities placed within the 2D sheet of the Dirac materials with
isotropic and anisotropic dis- persion. For the anisotropic dispersion, the
RKKY interaction is also anisotropic and related to the lattice parameters
which can be obtained throuh the DFT calculation or the experiments. The
fearures of the RKKY interaction also can be treated as a signature of the
topological phase transition as well as the change of Berry curvature. Our
results are also illuminating to the study of the static screening and the RKKY
interaction of the isotropic or anisotropic 3D Dirac or Weyl systems.
