Pseudo-zero-mode Landau levels and collective excitations in bilayer graphene

Abstract

Bilayer graphene in a magnetic field supports eight zero-energy Landau levels, which, as a tunable band gap develops, split into two nearly-degenerate quartets separated by the band gap. A close look is made into the properties of such an isolated quartet of pseudo-zero-mode levels at half filling in the presence of an in-plane electric field and the Coulomb interaction, with focus on revealing further controllable features in bilayer graphene. The half-filled pseudo-zero-mode levels support, via orbital level mixing, charge carriers with nonzero electric moment, which would lead to field-induced level splitting and the current-induced quantum Hall effect. It is shown that the Coulomb interaction enhances the effect of the in-plane field and their interplay leads to rich spectra of collective excitations, pseudospin waves, accessible by microwave experiments; also a duality in the excitation spectra is revealed.

11 pages, 3 figures, revtex, published version

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Cited by in corpus (11)

• The electronic properties of bilayer graphene
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Dynamics and phase diagram of the $\nu =0$ quantum Hall state in bilayer graphene
• Distinct Competing Ordered ν=2 States in Bilayer Graphene
• Structure and the Lamb-shift-like quantum splitting of the pseudo-zero-mode Landau levels in bilayer graphene
• Phase diagram of insulating crystal and quantum Hall states in ABC-stacked trilayer graphene
• Orbital Lamb shift and mixing of the pseudo-zero-mode Landau levels in ABC-stacked trilayer graphene
• Broken symmetry states in bilayer graphene in electric and in-plane magnetic fields
• Many-body effects, orbital mixing and cyclotron resonance in bilayer graphene
• Interaction-enhanced electron-hole and valley asymmetries in the lowest Landau level of ABA-stacked trilayer graphene
• Orbital mixing in few-layer graphene and non-Abelian Berry phase