  In a two dimensional electron gas with Rashba spin-orbit coupling, the
external electric field may cause a spin Hall current in the direction
perpendicular to the electric field. This effect was called the intrinsic spin
Hall effect. In this paper, we investigate the influences of spin accumulation
on this intrinsic spin Hall effect. We show that due to the existence of
boundaries in a real sample, the spin Hall current generated by the intrinsic
spin Hall effect will cause spin accumulation near the edges of the sample, and
in the presence of spin accumulation, the spin Hall conductivity will not have
a universal value. The influences of spin accumulation on the intrinsic spin
Hall effect in narrow strips of two dimensional electron gases with Rashba
spin-orbit coupling are investigated in detail.
