{
  "id": "1412.7416",
  "version": "v1",
  "published": "2014-12-23T15:52:25.000Z",
  "updated": "2014-12-23T15:52:25.000Z",
  "title": "Magnetic order on a topological insulator surface with warping and proximity-induced superconductivity",
  "authors": [
    "Daniel Mendler",
    "Panagiotis Kotetes",
    "Gerd Schön"
  ],
  "comment": "Main text: 15 pages and 11 figures; Appendix: 4 pages and 2 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.supr-con"
  ],
  "abstract": "We determine the nature of the magnetic order on the surface of a topological insulator (TI) which develops due to hexagonal warping and the resulting Fermi surface (FS) nesting in the presence of a repulsive Hubbard interaction. For this purpose we investigate the spin susceptibility and derive a Landau theory to compare the different accessible phases. For a nearly hexagonal FS and sufficiently strong interaction the magnetic ground state is formed by a skyrmion lattice, i.e., by a superposition of three helical spin density waves which preserves C$_3$-symmetry. The magnetic ground state is topologically non-trivial with a non-zero skyrmion charge, which can be stabilized and controlled by an applied magnetic field. By bringing the TI in proximity to a conventional superconductor one can engineer a C$_3$-symmetric topological superconductor. We explore the modification of the phase diagram as well as the mutual influence between the skyrmion structure and a multipolar distribution of supercurrents, which can provide information about the underlying skyrmion charge.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-23T15:52:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.20.-r",
      "75.70.-i",
      "74.45.+c",
      "75.75.-c"
    ],
    "keywords": [
      "topological insulator surface",
      "magnetic order",
      "proximity-induced superconductivity",
      "magnetic ground state",
      "non-zero skyrmion charge"
    ],
    "publication": {
      "doi": "10.1103/PhysRevB.91.155405",
      "journal": "Physical Review B",
      "year": 2015,
      "month": "Apr",
      "volume": 91,
      "number": 15,
      "pages": 155405
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015PhRvB..91o5405M"
    }
  }
}