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arXiv:0809.0217 [cond-mat.mes-hall]AbstractReferencesReviewsResources

Graphene in a Strong Magnetic Field: Massless Dirac Particles vs. Skyrmions

John Schliemann

Published 2008-09-01, updated 2008-11-27Version 2

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.

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