Intra-Landau level magnetoexcitons and the transition between quantum Hall states in undoped bilayer graphene

Abstract

We study the collective modes of the quantum Hall states in undoped bilayer graphene in a strong perpendicular magnetic and electric field. Both for the well-known ferromagnetic state that is relevant for small electric field $E_{\perp }$ and the analogous valley/layer polarized one suitable for large $E_{\perp }$, the low energy physics is dominated by magnetoexcitons with zero angular momentum that are even combinations of excitons that conserve Landau orbitals. We identify a long wave length instability in both states, and argue that there is an intermediate range of the electric field $E_{\text{c}}^{(1)}<E_{\perp }<E_{\text{c}}^{(2)}$ where a gapless phase interpolates between the incompressible quantum Hall states. The experimental relevance of this crossover via a gapless state is discussed.

7 pages, 5 figures

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Cited by in corpus (20)

• The electronic properties of bilayer graphene
• Electronic properties of graphene-based bilayer systems
• Transport Spectroscopy of Symmetry-Broken Insulating States in Bilayer Graphene
• Electron-Hole Asymmetric Integer and Fractional Quantum Hall Effect in Bilayer Graphene
• Excitons in topological Kondo insulators - theory of thermodynamic and transport anomalies in SmB${}_6$
• Spin-Polarized to Valley-Polarized Transition in Graphene Bilayers at $\nu =0$ in High Magnetic Fields
• Hund's Rules for the N=0 Landau Levels of Trilayer Graphene
• Broken-symmetry $\nu =0$ quantum Hall states in bilayer graphene: Landau level mixing and dynamical screening
• Magnetoelectric coupling, Berry phase, and Landau level dispersion in a biased bilayer graphene
• Broken-symmetry states and phase diagram of the lowest Landau level in bilayer graphene
• High-magnetic-field Tunneling Spectra of ABC-Stacked Trilayer Graphene
• Spin-orbit proximity in MoS${}_2$/bilayer graphene heterostructures
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• Theory of inter-Landau level magnetoexcitons in bilayer graphene
• Coulomb interaction and electron-hole asymmetry in cyclotron resonance of bilayer graphene in high magnetic field
• Symmetry characterization of the collective modes of the phase diagram of the $\nu =0$ quantum Hall state in graphene: Mean-field and spontaneously broken symmetries
• Energetics of complex phase diagram in a tunable bilayer graphene probed by quantum capacitance
• 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