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Diamagnetism of confined Dirac fermions in disordered graphene

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Jellal,  A.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Jellal, A., Bellati, M., & Schreiber, M. (2011). Diamagnetism of confined Dirac fermions in disordered graphene. Journal of Physics A-Mathematical and Theoretical, 44(27): 275001.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-8C7D-0
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's 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.