Intraband and interband spin-orbit torques in noncentrosymmetric ferromagnets

@article{Li2015IntrabandAI,
  title={Intraband and interband spin-orbit torques in noncentrosymmetric ferromagnets},
  author={Hang Li and H. Gao and L. Z{\^a}rbo and K. V'yborn'y and Xuhui Wang and I. Garate and Fatih Dovgan and A. vCejchan and J. Sinova and T. Jungwirth and A. Manchon},
  journal={Physical Review B},
  year={2015},
  volume={91},
  pages={134402}
}
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 ${\mathbf{T}}_{\mathrm{FL}}={\ensuremath{\tau}}_{\mathrm{FL}}\mathbf{m}\ifmmode\times\else\texttimes\fi{}{\mathbf{u}}_{\mathrm{so}}$ (${\mathbf{u}}_{\mathrm{so}}$ being a unit vector determined by the symmetry of the spin-orbit coupling), we explore the intrinsic… Expand

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