{
  "id": "1702.08632",
  "version": "v1",
  "published": "2017-02-28T03:44:11.000Z",
  "updated": "2017-02-28T03:44:11.000Z",
  "title": "Critical behaviour in two-dimensional Coulomb Glass at zero temperature",
  "authors": [
    "Preeti Bhandari",
    "Vikas Malik",
    "Syed Rashid Ahmad"
  ],
  "comment": "9 pages, 13 figures",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "The lattice model of Coulomb Glass in two dimensions with box-type random field distribution is studied at zero temperature for system size upto $96^{2}$. To obtain the minimum energy state we annealed the system using Monte Carlo simulation followed by further minimization using cluster-flipping. The values of the critical exponents are determined using the standard finite size scaling. We found that the correlation length $\\xi$ diverges with an exponent $\\nu=1.0$ at the critical disorder $W_{c} = 0.2253$ and that $\\chi_{dis} \\approx \\xi^{4-\\bar{\\eta}}$ with $\\bar{\\eta}=2$ for the disconnected susceptibility. The staggered magnetization behaves discontinuously around the transition and the critical exponent of magnetization $\\beta=0$. The probability distribution of the staggered magnetization shows a three peak structure which is a characteristic feature for the phase coexistence at first-order phase transition. In addition to this, at the critical disorder we have also studied the properties of the domain for different system sizes. In contradiction with the Imry-Ma arguments, we found pinned and non-compact domains where most of the random field energy was contained in the domain wall. Our results are also inconsistent with Binder's roughening picture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-28T03:44:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional coulomb glass",
      "zero temperature",
      "critical behaviour",
      "box-type random field distribution",
      "monte carlo simulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}