The current induced local spin polarization due to weak Rashba spin-orbit
coupling in narrow strip is studied. In the presence of longitudinal charge
current, local spin polarizations appear in the sample. The spin polarization
perpendicular to the plane has opposite sign near the two edges. The in-plane
spin polarization in the direction perpendicular to the sample edges also
appears, but does not change sign across the sample. From our scaling analysis
based on increasing the strip width, the out-of-plane spin polarization is
important mainly in a system of mesoscopic size, and thus appears not to be
associated with the spin-Hall effect in bulk samples.Comment: 4 pages, 4 figure