{
  "id": "1603.01578",
  "version": "v1",
  "published": "2016-03-04T19:22:27.000Z",
  "updated": "2016-03-04T19:22:27.000Z",
  "title": "Role of Dzyaloshinskii-Moriya interaction for magnetism in transition-metal chains at Pt step-edges",
  "authors": [
    "Benedikt Schweflinghaus",
    "Bernd Zimmermann",
    "Marcus Heide",
    "Gustav Bihlmayer",
    "Stefan Blügel"
  ],
  "comment": "21 pages, 9 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We present an ab initio study exploring chiral magnetism in one-dimensional monatomic Mn, Fe, and Co chains deposited at the Pt(664) step-edge by means of DFT. The analysis is embedded in a micromagnetic model, where besides the spin stiffness and the magnetic anisotropy energy, the Dzyaloshinskii-Moriya interaction (DMI) is taken into account. Although the atomic structure is the same for all three systems, not only the size but also the direction of their effective Dzyaloshinskii vectors (D-vectors) differ from system to system. For the Mn chain we predict a long-period spin spiral of unique rotational sense winding the otherwise atomic-scale antiferromagnetic phase in a plane tilted by $62^\\circ$ towards the upper step of the surface. The Fe and Co chains show a ferromagnetic ground state since the DMI is too weak to overcome their respective magnetic anisotropy barriers. An analysis of domain walls within the latter two systems reveals a Bloch wall for the Fe chain and a N\\'eel wall of unique rotational sense for the Co chain in a plane tilted by $29^\\circ$ towards the lower step. We proof that a planar homogeneous spiral of classical spins of a given wave vector rotating in a plane with a rotation vector parallel to the D-vector is an exact solution of a spin-lattice model for a periodic solid including Heisenberg exchange and DMI. In the vicinity of a collinear magnetic state assuming that the DMI is much smaller than the exchange interaction, the curvature and slope of the energy of the spiral as function of the wave vector provides directly the values of the spin stiffness and the spiralization required in micromagnetic models. The validity of the Fert-Levy model for the evaluation of micromagnetic DMI parameters and for the analysis of ab initio calculations for chains is explored. The results suggest some care has to be taken applying the model to infinite periodic systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-04T19:22:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dzyaloshinskii-moriya interaction",
      "pt step-edges",
      "transition-metal chains",
      "study exploring chiral magnetism",
      "initio study exploring chiral"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160301578S"
    }
  }
}