{
  "id": "1809.02329",
  "version": "v1",
  "published": "2018-09-07T07:25:02.000Z",
  "updated": "2018-09-07T07:25:02.000Z",
  "title": "Glassy properties of Anderson localization: pinning, avalanches and chaos",
  "authors": [
    "Gabriel Lemarié"
  ],
  "comment": "6 pages, 4 figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "I present the results of extensive numerical simulations which reveal the glassy properties of Anderson localization in dimension two at zero temperature: pinning, avalanches and chaos. I first show that the directed paths taken by the transport in the strongly localized regime are pinned by disorder and perform avalanches when a parameter like the energy is varied. I determine the roughness exponent $\\zeta=2/3$ characterizing the wandering of these paths and find that it is the same as that of the directed polymer problem. Finally, I characterize the disorder chaos property: Two replicas with infinitesimally perturbed disorder configurations have their conductance correlation which vanishes at the thermodynamic limit. Chaos is the result of the interplay between two distinct mechanisms: a spin glass chaos effect at strong disorder characteristic of directed polymer physics and an interference effect at weak disorder characteristic of universal conductance fluctuations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-07T07:25:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "glassy properties",
      "anderson localization",
      "avalanches",
      "spin glass chaos effect",
      "disorder chaos property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}