Electronic properties of the parabolic Dirac system

We investigate the electronic properties of the parabolic Dirac system. In the pres- ence of magnetic field, we discuss the thermodynamical potential and the anomalous diamagnetism due to the presence of Dirac cone. The integer Hall conductivity and the intrinsic Hall conductivity induced by the Berry curvature are also investigated. Considering the disorder-induced self-energy in self-consistent Born approximation, the RKKY interaction, long-range scattering rate and the spectral function are also calculated, which are distinct to that of the clean system (without impurity).