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VOLUME 91 | ISSUE 6 | PAGE 334
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 (\tilde{\Delta}_0,B), where \tilde{\Delta}_0 is a top-bottom gates voltage imbalance, is described. It is shown that the energy gap scales linearly, \Delta E\sim 14 B[{\mbox T}]{\mbox K}, with magnetic field.


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