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.

arXiv comment11 pages, 3 figures, revtex, published version

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• Quantum Hall Effects in Graphene-Based Two-Dimensional Electron Systems
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• Pseudo-zero-mode Landau levels and pseudospin waves in bilayer graphene
• Chiral Symmetry and Many-Body Effect in Multilayer Graphene
• Phase transitions induced by a lateral superlattice potential in a two-dimensional electron gas