  We study the transport properties of two dimensional electron systems with
strong Rashba spin-orbit coupling (SOC) doped with interacting magnetic
impurities. Interactions between magnetic impurities cause the formation of
magnetic clusters with temperature dependent mean sizes (CMSs) distributed
randomly on the surface of the system. Treating magnetic clusters as scattering
centers, by employing a generalized relaxation time approximation we obtain the
non-equilibrium distribution functions of Rashba electrons in both regimes of
above and below the band-crossing point (BCP) and present the explicit forms of
the conductivity in terms of effective relaxation times. We demonstrate that
the combined effects of SOC and magnetic clusters cause the system to be
anisotropic and the magneto-resistance strongly depends on both the clusters'
mean size and spin, the strengths of SOC and the location of Fermi energy with
respect to the BCP. Our results show that there are many contrasts between the
transport properties of the system in the two regimes of above and below the
BCP. By comparing the anisotropic magneto-resistance (AMR) of the two
dimensional Rashba systems with the surface AMR of three dimensional magnetic
topological insulators, we also point out the differences between these
systems.
