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

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 gap scales linearly, $ΔE\sim 14 B[T]K, with magnetic field.

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

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• Topological Phases in the Zeroth Landau Level of Bilayer Graphene
• Dynamical screening in bilayer graphene
• New Dirac points and multiple Landau level crossings in biased trilayer graphene
• Broken-symmetry $\nu =0$ quantum Hall states in bilayer graphene: Landau level mixing and dynamical screening
• Quantum Hall ferromagnetic phases in the Landau level N=0 of a graphene bilayer
• Broken-symmetry states and phase diagram of the lowest Landau level in bilayer graphene
• Renormalization group aspects of graphene
• Magneto-optical and optical probes of gapped ground states of bilayer graphene
• Spin-orbit proximity in MoS${}_2$/bilayer graphene heterostructures
• Intra-Landau level magnetoexcitons and the transition between quantum Hall states in undoped bilayer graphene
• Effect of the band structure topology on the minimal conductivity for bilayer graphene with symmetry breaking
• Coexistence and competition of nematic and gapped states in bilayer graphene
• Gap generation in ABC-stacked multilayer graphene: screening vs band flattening
• Theory of inter-Landau level magnetoexcitons in bilayer graphene
• Phase diagram of a graphene bilayer in the zero-energy Landau level
• Gully quantum Hall ferromagnetism in biased trilayer graphene
• Ising quantum Hall ferromagnetism in Landau levels $\left|N\right|\ge 1$ of bilayer graphene
• Electromagnetic absorption and Kerr effect in quantum Hall ferromagnetic states of bilayer graphene
• Broken symmetry states in bilayer graphene in electric and in-plane magnetic fields