  The unusual quantum Hall effect (QHE) in graphene is often discussed in terms
of Dirac fermions moving with a linear dispersion relation. The same phenomenon
will be explained in terms of the more traditional composite bosons, which move
with a linear dispersion relation. The "electron" (wave packet) moves easier in
the direction [1,1,0,c-axis] = [1,1,0] of the honeycomb lattice than
perpendicular to it, while the "hole" moves easier in [0,0,1]. Since
"electrons" and "holes" move in different channels, the number densities can be
high especially when the Fermi surface has "necks". The strong QHE arises from
the phonon exchange attraction in the neighborhood of the "neck" Fermi
surfaces. The plateau observed for the Hall conductivity and the accompanied
resistivity drop is due to the Bose-Einstein condensation of the c-bosons, each
forming from a pair of one-electron--two-fluxons c-fermions by phonon-exchange
attraction.
