Dynamics and phase diagram of the $ν=0$ quantum Hall state in bilayer graphene

Details Dynamics and phase diagram of the $ν=0$ quantum Hall state in bilayer graphene Dynamics and phase diagram of the $ν=0$ quantum Hall state in bilayer graphene

2010-04-12

arxiv.org/abs/1004.2068v1

Phys. Rev. B 81 (2010) 155451

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 4 figures

Scientific paper

10.1103/PhysRevB.81.155451

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 gaps in these phases scale linearly, $\Delta E\sim 10 B[T]K, with magnetic field. The comparison of these results with recent experiments in bilayer graphene is presented.

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