Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Angular dependence of spin-orbit spin-transfer torques



Ki-Sueng Lee, Dongwook Go, Aurelien Manchon, Paul M. Haney, Mark D. Stiles, Hyun-Woo Lee, Kyung Jin Lee


In ferromagnet/heavy metal bilayers, an in-plane current gives rise to spin-orbit spin transfer torques. For two-dimensional free-electron and tight-binding models with Rashba spin-orbit coupling, these torques acquire nontrivial dependence on the magnetization direction when the Rashba spin-orbit coupling becomes comparable to the exchange interaction. This nontrivial angular dependence is related to the Fermi surface distortion, which is determined by the ratio of the Rashba spin-orbit coupling to the exchange interaction. The angular dependence is consistent with experimental observations and can be important to understand magnetization dynamics induced by spin-orbit spin transfer torques.
Physical Review B


spin transfer torques, spin-orbit coupling, Rashba model, magnetization dynamics, domain wall motion, magnetic switching


Lee, K. , Go, D. , Manchon, A. , Haney, P. , Stiles, M. , Lee, H. and Lee, K. (2015), Angular dependence of spin-orbit spin-transfer torques, Physical Review B, [online],, (Accessed May 27, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created April 5, 2015, Updated October 12, 2021