  A Hall effect due to spin chirality in mesoscopic systems is predicted. We
consider a 4-terminal Hall system including local spins with geometry of a
vortex domain wall, where strong spin chirality appears near the center of
vortex. The Fermi energy of the conduction electrons is assumed to be
comparable to the exchange coupling energy where the adiabatic approximation
ceases to be valid. Our results show a Hall effect where a voltage drop and a
spin current arise in the transverse direction. The similarity between this
Hall effect and the conventional spin Hall effect in systems with spin-orbit
interaction is pointed out.
