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We study the adiabatic quantum pumping and quantum size effects ofspin-torque in a magnetic tunnel junction within a scattering matrix approach.Quantum size effects are predicted in the presence of a dc bias as a functionof the thickness of the normal metal layer inserted between two magnetic layersand of the fixed magnetic layer. In the presence of ac voltages, the resultsfor the spin-torque show a peculiar magnification effect and advantages ofspin-torque pumping in actual devices are also discussed.

Adiabatic quantum pumping, magnification effects and quantum size effects of spin-torque in magnetic tunnel junctions