Dynamics and phase diagram of the quantum Hall state in bilayer graphene

EV Gorbar, VP Gusynin, VA Miransky - Physical Review B—Condensed Matter …, 2010 - APS
Physical Review B—Condensed Matter and Materials Physics, 2010APS
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 (Δ ̃ 0, B), where Δ ̃ 0 is a top-
bottom gates voltage imbalance, is described. It is shown that the energy gaps in these
phases scale linearly, Δ E∼ 10 B [T] K, with magnetic field. The comparison of these results …
Utilizing the Baym-Kadanoff formalism with the polarization function calculated in the random phase approximation, the dynamics of the 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 gaps in these phases scale linearly, , with magnetic field. The comparison of these results with recent experiments in bilayer graphene is presented.
American Physical Society
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