{
  "id": "2007.06232",
  "version": "v1",
  "published": "2020-07-13T08:12:37.000Z",
  "updated": "2020-07-13T08:12:37.000Z",
  "title": "Two-dimensional Coulomb glass as a model for vortex pinning in superconducting films",
  "authors": [
    "Igor Poboiko",
    "Mikhail Feigel'man"
  ],
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "A glass model of vortex pinning in highly disordered thin superconducting films in magnetic fields $B \\ll H_{c2}$ at low temperatures is proposed. Strong collective pinning of a vortex system realized in disordered superconductors that are close to the quantum phase transition to the insulating phase -- such as $\\mathrm{In O}_x$, $\\mathrm{Nb N}$, $\\mathrm{Ti N}$, $\\mathrm{Mo Ge}$, nano-granular aluminium, and others -- is considered theoretically for the first time. Utilizing the replica trick developed for the spin glass theory, we demonstrate that such vortex system is in non-ergodic state of glass type with large kinetic inductance per square $L_K$. Distribution function of local pinning energies is calculated, and it is shown that it possesses a wide gap, i.e. the probability to find a weakly pinned vortex is extremely low.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-13T08:12:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional coulomb glass",
      "vortex pinning",
      "vortex system",
      "quantum phase transition",
      "spin glass theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}