{
  "id": "1908.09247",
  "version": "v1",
  "published": "2019-08-25T03:17:45.000Z",
  "updated": "2019-08-25T03:17:45.000Z",
  "title": "Spin-reorientation critical dynamics in the two-dimensional XY model with a domain wall",
  "authors": [
    "X. W. Lei",
    "N. J. Zhou",
    "Y. Y. He",
    "B. Zheng"
  ],
  "comment": "11 pages, 5 figures",
  "journal": "Phys. Rev. E, 99,022129 (2019)",
  "doi": "10.1103/PhysRevE.99.022129",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.mes-hall"
  ],
  "abstract": "In recent years, static and dynamic properties of non-$180^\\circ$ domain walls in magnetic materials have attracted a great deal of interest. In this paper, spin-reorientation critical dynamics in the two-dimensional XY model is investigated with Monte Carlo simulations and theoretical analyses based on the Langevin equation. At the Kosterlitz-Thouless phase transition, dynamic scaling behaviors of the magnetization and the two-time correlation function are carefully analyzed, and critical exponents are accurately determined. When the initial value of the angle between adjacent domains is slightly lower than $\\pi$, a critical exponent is introduced to characterize the abnormal power-law increase of the magnetization in the horizontal direction inside the domain interface, which is measured to be $\\psi=0.0568(8)$. Besides, the relation $\\psi=\\eta/2z$ is analytically deduced from the Langevin dynamics in the long-wavelength approximation, well consistent with numerical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-25T03:17:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional xy model",
      "spin-reorientation critical dynamics",
      "domain wall",
      "horizontal direction inside",
      "abnormal power-law increase"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}