NONLINEAR CALCULATION OF THE STOPPING POWER OF A 2-DIMENSIONAL ELECTRON-GAS FOR HEAVY-PARTICLES

We present a nonlinear calculation of the stopping power of a two-dimensional electron gas in its ground state at metallic and overmetallic densities (1<r(s)<10) for slow heavy repulsive intruders (antiprotons). We employ a scattering (kinetic) approach with the effective scattering potential coming from the profile equation of the Sjolander-Stott theory. A similar calculation in three dimensions shows excellent agreement with the density-functional theory results. In two dimensions, we obtain a stopping power which falls in between the bare Coulomb and linear screening potential treatments.