Electronic properties of the parabolic Dirac system

Abstract

We investigate the electronic properties of the parabolic Dirac system. In the presence of magnetic field, we discuss the thermodynamical potential and the anomalous diamagnetism due to the Dirac cone, and compared to the results of linear dispersion system. We found the local density of state peaks and the Landau levels are equidistant unlike the case of linear dispersion. 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 Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction (temperature-dependent), long-range scattering rate and the spectral function are also calculated, which are distinct to these in the linear dispersion systems or the clean case (without impurity). In the presence of impurity scattering, the long-range scattering rate is not simply the inverse of quasiparticle lifetime, but the inverse of transport relaxation time which related also to the scattering angle θ (where the forward scattering θ=0 is forbiddened due to the leading-order corrections to the current vertex). For the temperature-dependent RKKY indirect exchange interaction, its oscillation and power-law decay are shown and we found that its fluctuation amplitude decreases with the increasing temperature for itinerant electrons with parabolic dispersion.