{
  "id": "2102.05930",
  "version": "v1",
  "published": "2021-02-11T10:30:40.000Z",
  "updated": "2021-02-11T10:30:40.000Z",
  "title": "From Anderson localization on Random Regular Graphs to Many-Body localization",
  "authors": [
    "K. S. Tikhonov",
    "A. D. Mirlin"
  ],
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "The article reviews the physics of Anderson localization on random regular graphs (RRG) and its connections to many-body localization (MBL) in disordered interacting systems. Properties of eigenstate and energy level correlations in delocalized and localized phases, as well at criticality, are discussed. In the many-body part, models with short-range and power-law interactions are considered, as well as the quantum-dot model representing the limit of the \"most long-range\" interaction. Central themes -- which are common to the RRG and MBL problems -- include ergodicity of the delocalized phase, localized character of the critical point, strong finite-size effects, and fractal scaling of eigenstate correlations in the localized phase.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-11T10:30:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random regular graphs",
      "anderson localization",
      "many-body localization",
      "localized phase",
      "energy level correlations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}