Abstract
A doped graphene layer in the integer quantum-Hall regime reveals a highly unusual particle-hole excitation spectrum, which is calculated from the dynamical polarizability in the random-phase approximation. We find that the elementary neutral excitations in graphene in a magnetic field are unlike those of a standard two-dimensional electron gas: in addition to the upper-hybrid mode, the particle-hole spectrum is reorganized in linear magnetoplasmons that disperse roughly parallel to $\ensuremath{\omega}={v}_{F}q$, instead of the usual horizontal (almost dispersionless) magnetoexcitons. These modes could be detected in an inelastic light-scattering experiment.
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