  In a magnetic multilayer, magnetizations can be manipulated by spin transfer
torque. Both spin transfer torque and its reciprocal effect, spin pumping, are
governed by spin mixing conductance. The magnitude of spin mixing conductance
at the interface of nearly magnetic metal has been theoretically shown to be
enhanced by electron-electron interaction. However, experiments show both
increasing and decreasing values of spin mixing conductance for metals with
larger electron-electron interaction. Here we take into account the effect of
electron-electron interaction on the screening of the Coulomb interaction at
the magnetic interface to correctly describe the experiment.
