First-principles Dzyaloshinskii–Moriya interaction in a non-collinear framework

  title={First-principles Dzyaloshinskii–Moriya interaction in a non-collinear framework},
  author={Ramon Cardias and Attila Szilva and M. M. Bezerra-Neto and M. S. Ribeiro and Anders Bergman and Yaroslav O Kvashnin and Jonas Fransson and {\^A}ngela Burlamaqui Klautau and Olle Eriksson and Lars Nordstr{\"o}m},
  journal={Scientific Reports},
We have derived an expression of the Dzyaloshinskii–Moriya interaction (DMI), where all the three components of the DMI vector can be calculated independently, for a general, non-collinear magnetic configuration. The formalism is implemented in a real space—linear muffin-tin orbital—atomic sphere approximation (RS-LMTO-ASA) method. We have chosen the Cr triangular trimer on Au(111) and Mn triangular trimers on Ag(111) and Au(111) surfaces as numerical examples. The results show that the DMI… 
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