Theory of the quantum Hall effect in graphene

Details Theory of the quantum Hall effect in graphene Theory of the quantum Hall effect in graphene

2008-11-27

arxiv.org/abs/0811.4595v3

Phys. Rev. B 81, 081410(R) (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures, rewritten, role of contacts for boundary conditions in small devices

Scientific paper

10.1103/PhysRevB.81.081410

We study the quantum Hall effect (QHE) in graphene based on the current injection model. In our model, the presence of disorder, the edge-state picture, extended states and localized states, which are believed to be indispensable ingredients in describing the QHE, do not play an important role. Instead the boundary conditions during the injection into the graphene sheet, which are enforced by the presence of the Ohmic contacts, determine the current-voltage characteristics.

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