Electronic properties of the parabolic Dirac system

TL;DR

This paper explores the electronic characteristics of a parabolic Dirac system, analyzing magnetic, Hall, and disorder effects, including Berry curvature and impurity impacts, to understand its unique quantum behaviors.

Contribution

It provides a comprehensive analysis of magnetic, Hall, and disorder effects in parabolic Dirac systems, highlighting their unique electronic properties and responses.

Findings

Anomalous diamagnetism due to Dirac cone

Quantification of Hall conductivity influenced by Berry curvature

Impact of disorder on spectral function and scattering rates

Abstract

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).