Orbital Magnetism and Transport Phenomena in Two Dimensional Dirac Fermions in Weak Magnetic Field

TL;DR

This paper investigates the orbital magnetism and Hall effect in two-dimensional gapped Dirac fermion systems under weak magnetic fields, revealing strong diamagnetism and finite Hall conductivity.

Contribution

It introduces a formalism connecting weak magnetic field effects with Landau quantization in gapped Dirac systems, applicable to materials like graphene and organic conductors.

Findings

Strong diamagnetism observed in gapped Dirac systems

Finite Hall conductivity in the weak magnetic field regime

Connection established between weak-field formalism and Landau quantization

Abstract

We discuss the orbital magnetism and the Hall effect in the weak magnetic field in two dimensional Dirac fermion systems with energy gap. This model is related to the graphene sheet, organic conductors, and $d$-density wave superconductors. We found the strong diamagnetism and finite Hall conductivity even in gapped systems. We also discuss the relation between the weak-magnetic field formalism and the Landau quantization with the Euler-Maclaurin expansion.