  We demonstrate that a Josephson junction with a half-metallic weak link
integrated into the superconducting loop enables the pumping of magnetic flux
piercing the loop. In such junctions, the ground state phase $\psi$ is
determined by the mutual orientation of magnetic moments in two ferromagnets
surrounding the half-metal. Thus, the precession of magnetic moment in one of
two ferromagnets controlled, e.g., by the microwave radiation, results in the
accumulation of the phase $\psi$ and subsequent switching between the states
with different vorticities. The proposed flux pumping mechanism does not
require the application of voltage or external magnetic field which enables the
design of electrically decoupled memory cells in superconducting spintronics.
