Abstract

The unusual quantum Hall effect (QHE) in graphene is often discussed in terms of Dirac fermions moving with a linear dispersion. A new theory describing the same phenomena is presented in terms of the more traditional composite bosons. The electron (wave packet) is shown to move easier in the direction [110] ≡ [110 c-axis] of the honeycomb lattice than perpendicular to it, while the hole moves easier in [001]. Since electrons and holes move in different channels, the number densities can be very high especially when the Fermi surface has necks. The strong QHE at filling factor ν = 2 arises from the neck Fermi surfaces.

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