2015

Intraband and interband spin-orbit torques in noncentrosymmetric ferromagnets

Intraband and interband spin-orbit torques in noncentrosymmetric ferromagnets
H. Li, H. Gao, L.P. Zarbo, K. Vyborny,  X. Wang, I. Garate, F. Dogan, A. Cejchan, J. Sinova, T. Jungwirth, A. Manchon
Phys. Rev. B 91, 134402 (2015)​​
H. Li, H. Gao, L.P. Zarbo, K. Vyborny, X. Wang, I. Garate, F. Dogan, A. Cejchan, J. Sinova, T. Jungwirth, A. Manchon
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2015
​Intraband and interband contributions to the current-driven spin-orbit torque in magnetic materials lacking inversion symmetry are theoretically studied using the Kubo formula. In addition to the current-driven fieldlike torque TFLFLm×uso(uso being a unit vector determined by the symmetry of the spin-orbit coupling), we explore the intrinsic contribution arising from impurity-independent interband transitions and producing an anti-damping-like torque of the form TDLDLm×(uso×m). Analytical expressions are obtained in the model case of a magnetic Rashba two-dimensional electron gas, while numerical calculations have been performed on a dilute magnetic semiconductor (Ga,Mn)As modeled by the Kohn-Luttinger Hamiltonian exchange coupled to the Mn moments. Parametric dependencies of the different torque components and similarities to the analytical results of the Rashba two-dimensional electron gas in the weak disorder limit are described.​