Spin currents and spin dynamics in time-dependent density-functional theory.

  title={Spin currents and spin dynamics in time-dependent density-functional theory.},
  author={Klaus Capelle and Giovanni Vignale and Bal{\'a}zs L. Gy{\"o}rffy},
  journal={Physical review letters},
  volume={87 20},
We derive and analyze the equation of motion for the spin degrees of freedom within time-dependent spin-density-functional theory (TD-SDFT). The results are (i) a prescription for obtaining many-body corrections to the single-particle spin currents from the Kohn-Sham equation of TD-SDFT, (ii) the existence of an exchange-correlation (xc) torque within TD-SDFT, (iii) a prescription for calculating, from TD-SDFT, the torque exerted by spin currents on the spin magnetization, (iv) a novel exact… 
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