Energy gaps at neutrality point in bilayer graphene in a magnetic field
E. V. Gorbar, V. P. Gusynin, V. A. Miransky*
Bogolyubov Institute for Theoretical Physics, 03680 Kiev, Ukraine *Department of Applied Mathematics, University of Western Ontario, London, N6A 5B7 Ontario, Canada
Abstract
Utilizing the Baym-Kadanoff formalism with the
polarization function calculated in the random phase approximation,
the dynamics of the ν=0 quantum Hall state in bilayer graphene
is analyzed. Two phases with nonzero energy gap, the ferromagnetic
and layer asymmetric ones, are found. The phase diagram in the plane
, where is a top-bottom
gates voltage imbalance, is described. It is shown that the energy
gap scales linearly, , with
magnetic field.
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