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| Paper IPM / P / 12419 |
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We show that the plasmon spectrum of an ordinary two-dimensional electron gas (2DEG) hosted
in a GaAs heterostructure is signi cantly modi ed when a graphene sheet is placed on the surface of
the semiconductor in close proximity to the 2DEG. Long-range Coulomb interactions between massive
electrons and massless Dirac fermions lead to a new set of optical and acoustic intra-subband
plasmons. Here we compute the dispersion of these coupled modes within the Random Phase Approximation,
providing analytical expressions in the long-wavelength limit that shed light on their
dependence on the Dirac velocity and Dirac-fermion density. We also evaluate the resistivity in
a Coulomb-drag transport setup. These Dirac/Schroedinger hybrid electron systems are experimentally
feasible and open new research opportunities for fundamental studies of electron-electron
interaction e ects in two spatial dimensions.
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