{
  "id": "1105.3983",
  "version": "v2",
  "published": "2011-05-19T20:23:28.000Z",
  "updated": "2011-09-27T12:36:21.000Z",
  "title": "Microscopic approach to orientational order of domain walls",
  "authors": [
    "Daniel G. Barci",
    "Daniel A. Stariolo"
  ],
  "comment": "9 pages, 7 figures, revised and expanded, published version",
  "journal": "Phys. Rev. B 84, 094439 (2011)",
  "doi": "10.1103/PhysRevB.84.094439",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.mes-hall",
    "cond-mat.soft"
  ],
  "abstract": "We develop a fully microscopic, statistical mechanics approach to study phase transitions in Ising systems with competing interactions at different scales. Our aim is to consider orientational and positional order parameters in a unified framework. In this work we consider two dimensional stripe forming systems, where nematic, smectic and crystal phases are possible. We introduce a nematic order parameter in a lattice, which measures orientational order of interfaces. We develop a mean field approach which leads to a free energy which is a function of both the magnetization (density) and the orientational (nematic) order parameters. Self-consistent equations for the order parameters are obtained and the solutions are described for a particular system, the Dipolar Frustrated Ising Ferromagnet. We show that this system has an Ising-nematic phase at low temperatures in the square lattice, where positional order (staggered magnetization) is zero. At lower temperatures a crystal-stripe phase may appear. In the continuum limit the present approach connects to a Ginsburg-Landau theory, which has an isotropic-nematic phase transition with breaking of a continuous symmetry.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-09-27T12:36:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.60.De",
      "75.70.Ak",
      "75.30.Kz",
      "75.70.Kw"
    ],
    "keywords": [
      "domain walls",
      "microscopic approach",
      "nematic order parameter",
      "measures orientational order",
      "positional order parameters"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2011,
      "month": "Sep",
      "volume": 84,
      "number": 9,
      "pages": "094439"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvB..84i4439B"
    }
  }
}