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We study the collective modes of the quantum Hall states in undoped bilayergraphene in a strong perpendicular magnetic and electric field. Both for thewell-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 zeroangular momentum that are even combinations of excitons that conserve Landauorbitals. We identify a long wave length instability in both states, and arguethat there is an intermediate range of the electric field $E^{(1)}_\text{c} <E_\perp < E^{(2)}_\text{c}$ where a gapless phase interpolates between theincompressible quantum Hall states. The experimental relevance of thiscrossover via a gapless state is discussed.

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