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

Abstract

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, $ΔE\sim 10 B[T]K, with magnetic field. The comparison of these results with recent experiments in bilayer graphene is presented.

14 pages, 4 figures

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Cited by in corpus (12)

• The electronic properties of bilayer graphene
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Evidence for a Spin Phase Transition at ν=0 in Bilayer Graphene
• Local Compressibility Measurements of Correlated States in Suspended Bilayer Graphene
• Edge excitations of the canted antiferromagnetic phase of the $\nu =0$ quantum Hall state in graphene: a simplified analysis
• Spin-Polarized to Valley-Polarized Transition in Graphene Bilayers at $\nu =0$ in High Magnetic Fields
• Magneto-optical and optical probes of gapped ground states of bilayer graphene
• Distinct Competing Ordered ν=2 States in Bilayer Graphene
• Intra-Landau level magnetoexcitons and the transition between quantum Hall states in undoped bilayer graphene
• Coexistence and competition of nematic and gapped states in bilayer graphene
• Ising quantum Hall ferromagnetism in Landau levels $\left|N\right|\ge 1$ of bilayer graphene
• Dynamical polarization in ABC-stacked multilayer graphene in a magnetic field