{
  "id": "2211.08017",
  "version": "v1",
  "published": "2022-11-15T10:03:07.000Z",
  "updated": "2022-11-15T10:03:07.000Z",
  "title": "Stability and asymptotic interactions of chiral magnetic skyrmions in a tilted magnetic field",
  "authors": [
    "Bruno Barton-Singer",
    "Bernd J. Schroers"
  ],
  "comment": "35 pages, 9 figures",
  "categories": [
    "cond-mat.mes-hall",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Using a general framework, interaction potentials between chiral magnetic solitons in a planar system with a tilted external magnetic field are calculated analytically in the limit of large separation. The results are compared to previous numerical results for solitons with topological charge $\\pm 1$. A key feature of the calculation is the interpretation of Dzyaloshinskii-Moriya interaction (DMI) as a background $SO(3)$ gauge field. In a tilted field, this leads to a $U(1)$-gauged version of the usual equation for spin excitations, leading to a distinctive oscillating interaction profile. We also obtain predictions for skyrmion stability in a tilted field which closely match numerical observations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-15T10:03:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70S20"
    ],
    "keywords": [
      "chiral magnetic skyrmions",
      "tilted magnetic field",
      "asymptotic interactions",
      "chiral magnetic solitons",
      "tilted external magnetic field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}