{
  "id": "2307.12288",
  "version": "v1",
  "published": "2023-07-23T10:41:56.000Z",
  "updated": "2023-07-23T10:41:56.000Z",
  "title": "Single-particle excitations across the many-body localization transition in quasi-periodic systems",
  "authors": [
    "Yogeshwar Prasad",
    "Arti Garg"
  ],
  "comment": "10 pages, 11 figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We study many-body localization transition in one dimensional systems in the presence of a deterministic quasi-periodic potential. We focus on single-particle excitations produced in highly excited many-body eigenstates obtained through single-particle Green's function in real space. A finite-size scaling analysis of the ratio of the typical to average value of the local density of states of single particle excitations is performed assuming that the correlation length $\\xi$ diverges at the transition point with a power-law $\\xi \\sim |h-h_c|^{-\\nu}$. Both for the Aubry-Andre (AA) model and the generalized AA model, the finite size scaling of the local density of states obeys the single parameter scaling. A good quality scaling collapse is obtained for $\\nu \\ge 1$ which satisfies the generalized Luck's criterion for quasiperiodic systems. This analysis supports the continuous nature of the many-body localization transition in systems with AA and generalized AA potentials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-23T10:41:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "single-particle excitations",
      "quasi-periodic systems",
      "study many-body localization transition",
      "local density",
      "deterministic quasi-periodic potential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}