{
  "id": "1409.7592",
  "version": "v1",
  "published": "2014-09-26T14:41:20.000Z",
  "updated": "2014-09-26T14:41:20.000Z",
  "title": "Random dimer model in pseudo two-dimensional lattices",
  "authors": [
    "Uta Naether",
    "Cristian Mejía-Cortés",
    "Rodrigo A. Vicencio"
  ],
  "comment": "5 pages, 3 figures, submitted for publication",
  "categories": [
    "cond-mat.dis-nn",
    "physics.optics"
  ],
  "abstract": "In this work, we study long-time wave transport in correlated and uncorrelated disordered 2D arrays. When a separation of dimensions is applied to the model, we find that the predicted 1D random dimer phenomenology also appears in so-called pseudo-2D arrays. Therefore, a threshold behavior is observed in terms of the effective size for eigenmodes, as well as in long-time dynam- ics. For this threshold behavior to be observed a minimum system size is required, what is very important when considering a possible experimental realization. For the long-time evolution, we find that for short-range correlated lattices a super-diffusive long-range transport is observed, while for completely uncorrelated disorder in 2D transport becomes sub-diffusive within the localization length and random binary pseudo-2D arrays show localization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-26T14:41:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random dimer model",
      "pseudo two-dimensional lattices",
      "threshold behavior",
      "study long-time wave transport",
      "random binary pseudo-2d arrays"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.7592N"
    }
  }
}