  We investigate parametric pumping of spin and charge currents in a mesoscopic
ring interrupted by a tunnel barrier in presence of Aharonov-Casher (AC) effect
and Aharonov-Bohm (AB) flux along the axis of the same ring. Generation of a dc
current is achieved by tuning the tunnel barrier strength and modulating in
time either a radial(transverse) electric field or the magnetic flux. A pure
spin current is generated by the interplay of breaking spin reversal symmetry,
due to AC effect, and time-reversal symmetry breaking, intrinsic in parametric
pumping procedure. We analyze the conditions for operating the AB-AC ring as a
pure spin pump useful in spintronics and discuss generalization of our results
to Rashba-gate-controlled rings.
