Theory of inter-Landau level magnetoexcitons in bilayer graphene

Abstract

If bilayer graphene is placed in a high perpendicular magnetic field, several quantum Hall plateaus are observed at low enough temperatures. Of these, the ${\sigma }_{xy}=4n{e}^2/h$ sequence ($n\ne 0$) is explained by standard Landau quantization, while the other integer plateaus arise due to interactions. The low-energy excitations in both cases are magnetoexcitons, whose dispersion relation depends on single- and many-body effects in a complicated manner. Analyzing the magnetoexciton modes in bilayer graphene, we find that the mixing of different Landau level transitions not only renormalizes them, but essentially changes their spectra and orbital character at finite wave length. These predictions can be probed in inelastic light scattering experiments.

15 pages, 12 figures. Accepted by Phys. Rev. B

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Cited by in corpus (8)

• Quantum Hall ferromagnetic phases in the Landau level N=0 of a graphene bilayer
• 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
• Transport gap and hysteretic behavior of the Ising quantum Hall ferromagnets in Landau levels $\left|N\right|>0$ of bilayer graphene
• Direct-exchange duality of the Coulomb interaction and collective excitations in graphene in a magnetic field
• Electromagnetic absorption and Kerr effect in quantum Hall ferromagnetic states of bilayer graphene
• Many-body effects, orbital mixing and cyclotron resonance in bilayer graphene
• Particle-hole symmetry and bifurcating ground state manifold in the quantum Hall ferromagnetic states of multilayer graphene
• Infrared spectroscopy of phase transitions in the lowest Landau levels of bilayer graphene