Diamagnetism of Confined Dirac Fermions in Disordered Graphene

TL;DR

This paper investigates the diamagnetism of confined Dirac fermions in disordered graphene, analyzing how disorder and confinement influence orbital magnetic susceptibility using Green function techniques.

Contribution

It provides a systematic formulation of diamagnetism in disordered, confined graphene by calculating susceptibility with short and long-range disorder models.

Findings

Susceptibility depends on disorder type and confinement.

Green function method effectively models disorder effects.

Results align with and extend previous studies.

Abstract

The diamagnetism of confined Dirac fermions submitted to a uniform magnetic field in disordered graphene is investigated. The solutions of the energy spectrum are used to discuss the orbital magnetism from a statistical mechanical point of view. More precisely, by the technique of Green functions the self-energy for short and long-ranged disorders is obtained. This allows us to determine the susceptibility for short and long-ranged disorders together with confinement. We compare our results with already published work and point out the relevance of these findings to a systematic formulation of the diamagnetism in a confining potential.