Based on kinetic equations for the density matrix, drift-diffusion equations
are derived for a two-dimensional electron gas with Rashba spin-orbit coupling.
Universal results are obtained for the weak coupling case. Most interesting is
the observation that with increasing spin-orbit coupling strengths there is a
sharp transition between spin diffusion and ballistic spin transport. For
strong spin-orbit coupling, when the elastic scattering time is much larger
than the spin relaxation time, undamped spin-coherent waves are identified. The
existence of these long-lived spin-coherent states is confirmed by exact
analytical results obtained from microscopic kinetic equations valid in the
ballistic regime.Comment: 16 pages, 3 figure