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Spin-Orbit Torque in Magnetic Bilayers - Spintronics Theory Group

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II. What the sp<strong>in</strong> is go<strong>in</strong>g on ? Rashba <br />

c. Diffusive Model for Rashba <strong>Torque</strong> <br />

X. Wang C. OrCz Pauyac <br />

3 Major Consequences <br />

Inverse sp<strong>in</strong> Galvanic effect <br />

(Edelste<strong>in</strong>) <br />

<strong>Sp<strong>in</strong></strong> Galvanic effect <br />

(see S<strong>in</strong>ova PRL 2004) <br />

Anisotropic <strong>Sp<strong>in</strong></strong> RelaxaOon <br />

(Dyakonov-­‐Perel) <br />

<strong>Sp<strong>in</strong></strong> density is generated <br />

by the flow<strong>in</strong>g current <br />

Produces a sp<strong>in</strong> torque <br />

Non-­‐equilibrium sp<strong>in</strong> density <br />

generates a charge current <br />

Impacts the AMR+AHE <br />

Induces anisotropic Damp<strong>in</strong>g <br />

Induces angular dependence <br />

Manchon and Zhang, Phys. Rev. B 78, 212405 (2008); 79, 094422 (2009) <br />

X. Wang and A. Manchon, Phys. Rev. Le.. 108, 117201 (2012). <br />

M. Dyakonov <br />

I. Perel <br />

23

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