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We study the collective charge excitations (plasmons) in spin polarizedgraphene, and derive explicit expressions for their dispersion in the undampedregime. From this, we are able to calculate the critical wave vector beyondwhich the plasmon enters the electron-hole continuum, its quality factordecreasing sharply. We find that the value of the critical wave vector isstrongly spin polarization-dependent, in a way that has no analog in ordinarytwo-dimensional electron gases. The origin of this effect is in the couplingbetween the plasmon and the inter-band electron-hole pairs of the minority spincarriers. We show that the effect is robust with respect to the inclusion ofdisorder and we suggest that it can be exploited to experimentally determinethe spin polarization of graphene.

Plasmons in spin polarized graphene: a new way to measure spin polarization