Spin pumping

Spin tunneling transport at the interface between a normal metal and a ferromagnetic insulator can be driven by microwave irradiation on the ferromagnetic side.[5]

The spin pumped into an adjacent layer by a precessing magnetic moment is given by[1]

${\displaystyle {\vec {j}}_{s}={\hbar \over {4\pi }}g^{\uparrow \downarrow }{1 \over M_{S}^{2}}\langle {\vec {M}}(t)\times {{d{\vec {M}}(t))} \over {dt}}\rangle }$

where ${\displaystyle {\vec {j}}_{s}}$ is the spin current (the vector indicates the orientation of the spin, not the direction of the current), ${\displaystyle g^{\uparrow \downarrow }}$ is the spin-mixing conductance, ${\displaystyle M_{S}}$ is the saturation magnetization, and ${\displaystyle {\vec {M}}(t)}$ is the time-dependent orientation of the moment.

• Spintronic
• Spin wave
• Spin Engineering
• Spin Hall effect
• Spin memory loss