This title appears in the Scientific Report :
2015
Please use the identifier:
http://dx.doi.org/10.1103/PhysRevB.92.064415 in citations.
Please use the identifier: http://hdl.handle.net/2128/9044 in citations.
Direct and inverse spin-orbit torques
Direct and inverse spin-orbit torques
In collinear magnets lacking inversion symmetry, application of electric currents induces torques on the magnetization and conversely magnetization dynamics induces electric currents. The two effects, which both rely on spin-orbit interaction, are reciprocal to each other and denoted direct spin-orb...
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Personal Name(s): | Freimuth, Frank (Corresponding author) |
---|---|
Blügel, Stefan / Mokrousov, Yuriy | |
Contributing Institute: |
Quanten-Theorie der Materialien; IAS-1 JARA-FIT; JARA-FIT Quanten-Theorie der Materialien; PGI-1 |
Published in: | Physical Review B Physical review / B, 92 92 (2015 2015) 6 6, S. 064415 064415 |
Imprint: |
College Park, Md.
APS
2015
|
DOI: |
10.1103/PhysRevB.92.064415 |
Document Type: |
Journal Article |
Research Program: |
Controlling Configuration-Based Phenomena Controlling Spin-Based Phenomena |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/9044 in citations.
In collinear magnets lacking inversion symmetry, application of electric currents induces torques on the magnetization and conversely magnetization dynamics induces electric currents. The two effects, which both rely on spin-orbit interaction, are reciprocal to each other and denoted direct spin-orbit torque (SOT) and inverse spin-orbit torque (ISOT), respectively. We derive expressions for SOT and ISOT within the Kubo linear-response formalism. We show that expressions suitable for density-functional theory calculations can be derived either starting from a Kohn-Sham Hamiltonian with time-dependent exchange field or by expressing general susceptibilities in terms of the Kohn-Sham susceptibilities. For the case of magnetic bilayer systems we derive the general form of the ISOT current induced under ferromagnetic resonance. Using ab initio calculations within density-functional theory, we investigate SOT and ISOT in Co/Pt(111) magnetic bilayers. We determine the spatial distribution of spin and charge currents as well as torques in order to expose the mechanisms underlying SOT and ISOT and to highlight their reciprocity on the microscopic level. We find that the spin Hall effect is position dependent close to interfaces. |