  For the two-dimensional ideal electron gas with the Rashba spin-orbit
interaction and in the presence of non-magnetic short-ranged potential
impurities the spin-Hall conductivity $\sigma_{sH}$ is found by direct
microscopic calculation. Within the semiclassical approximation $\hbar/\tau \ll
\epsilon_F$ and $\Delta \ll \epsilon_F$ the value of $\sigma_{sH}$ is zero for
arbitrary ratio of the spin-orbit splitting $\Delta$ and the inverse elastic
scattering time $1/\tau$.
