Energy gaps at neutrality point in bilayer graphene in a magnetic field

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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5 pages, 3 figures, title changed, references added, JETP Letters version

Scientific paper

10.1134/S0021364010060111

Utilizing the Baym-Kadanoff formalism with the polarization function calculated in the random phase approximation, the dynamics of the $\nu=0$ 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[T]K, with magnetic field.

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