{
  "id": "2407.19403",
  "version": "v1",
  "published": "2024-07-28T05:18:12.000Z",
  "updated": "2024-07-28T05:18:12.000Z",
  "title": "Griffiths singularity in quasi-one dimensional restricted $\\pm J$ Ising spin glass",
  "authors": [
    "Fateme Izadi",
    "Reza Sepehrinia"
  ],
  "journal": "Phys Rev. E 108, 064117 (2023)",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We obtain the exact ground state energy of the quasi-one dimensional restricted $\\pm J$ Ising spin glass in a uniform magnetic field using the transfer matrix method. Magnetic field dependence allows us to derive the magnetization as a function of concentration and magnetic field. It turns out that, in the limit of zero field, the magnetization tends to a nonzero value with a singular dependence on the magnetic field. We derive the explicit form of the singularity in thermodynamic quantities such as energy $E\\simeq E_0+m_0 h + E_1e^{-h_0/h}$, which is an essential singularity known as Griffiths singularity. We confirm our analytical results using the numerical approach based on iterative equations for energy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-28T05:18:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ising spin glass",
      "quasi-one dimensional",
      "griffiths singularity",
      "exact ground state energy",
      "transfer matrix method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}