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

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