  Electronic states localized at domain walls between ferromagnetically ordered
phases in two-dimensional electron systems are generated by moderate spin-orbit
coupling. The spin carried by these states depends on the slope of the magnetic
background at the domain wall. The number of localized states is determined by
a real space topological number, and spin perpendicular to the ferromagnetic
order accumulates in these localized states at domain walls. These trapped
states may be observed in experiments that probe either spin density or
conduction paths in quantum wells.
