  A new kind of charge-Hall effect is shown. Unlike in the usual Hall effect,
the driving force in the longitudinal direction is a spin force, which may
originate from the gradient of a Zeeman field or a spin-dependent chemical
potential. The transverse force is provided by a Berry curvature in a mixed
position-momentum space. We can establish an Onsager relation between this
effect and the spin-Hall effect provided the spin current in the latter is
modified by a torque dipole contribution. This remarkable relation leads to new
ways for experimental detection of spin accumulation predicted by the spin Hall
effect.
