We discuss models for massless Dirac fermions being subject to a perpendicular magnetic field in spherical geometry. These models are analogues of Haldane`s spherical construction for massful charge carriers. The single particle states constructed here are easily implemented in existing numerical code for many-body problems in conventional quantum Hall systems. Moreover, the many-body states of fully filled sublevels in the subspace of lowest Landau level index are skyrmions with respect to the layer spin.
@article{arxiv.0809.0217,
title = {Graphene in a Strong Magnetic Field: Massless Dirac Particles vs. Skyrmions},
author = {John Schliemann},
journal= {arXiv preprint arXiv:0809.0217},
year = {2009}
}