{
  "id": "1512.02476",
  "version": "v1",
  "published": "2015-12-08T14:14:02.000Z",
  "updated": "2015-12-08T14:14:02.000Z",
  "title": "Mapping the Current-Current Correlation Function Near a Quantum Critical Point",
  "authors": [
    "Emil Prodan",
    "Jean Bellissard"
  ],
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "The current-current correlation function is a useful concept in the theory of electron transport in homogeneous solids. The finite-temperature conductivity tensor as well as Anderson's localization length can be computed entirely from this correlation function. Based on the critical behavior of these two physical quantities near the plateau-insulator or plateau-plateau transitions in the integer quantum Hall effect, we derive an asymptotic formula for the current-current correlation function, which enables us to make several theoretical predictions about its generic behavior. For the disordered Hofstadter model, we employ numerical simulations to map the current-current correlation function, obtain its asymptotic form near a critical point and confirm the theoretical predictions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-08T14:14:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "current-current correlation function",
      "quantum critical point",
      "integer quantum hall effect",
      "finite-temperature conductivity tensor",
      "andersons localization length"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}