{
  "id": "1203.4599",
  "version": "v1",
  "published": "2012-03-20T21:32:47.000Z",
  "updated": "2012-03-20T21:32:47.000Z",
  "title": "Level statistics for quantum $k$-core percolation",
  "authors": [
    "L. Cao",
    "J. M. Schwarz"
  ],
  "comment": "8 pages, 11 figures",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "Quantum $k$-core percolation is the study of quantum transport on $k$-core percolation clusters where each occupied bond must have at least $k$ occupied neighboring bonds. As the bond occupation probability, $p$, is increased from zero to unity, the system undergoes a transition from an insulating phase to a metallic phase. When the lengthscale for the disorder, $l_d$, is much greater than the coherence length, $l_c$, earlier analytical calculations of quantum conduction on the Bethe lattice demonstrate that for $k=3$ the metal-insulator transition (MIT) is discontinuous, suggesting a new universality class of disorder-driven quantum MITs. Here, we numerically compute the level spacing distribution as a function of bond occupation probability $p$ and system size on a Bethe-like lattice. The level spacing analysis suggests that for $k=0$, $p_q$, the quantum percolation critical probability, is greater than $p_c$, the geometrical percolation critical probability, and the transition is continuous. In contrast, for $k=3$, $p_q=p_c$ and the transition is discontinuous such that these numerical findings are consistent with our previous work to reiterate a new universality class of disorder-driven quantum MITs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-20T21:32:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "71.23.An",
      "72.15.Rn",
      "71.30.+h"
    ],
    "keywords": [
      "level statistics",
      "disorder-driven quantum mits",
      "bond occupation probability",
      "transition",
      "universality class"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevB.86.064206",
      "journal": "Physical Review B",
      "year": 2012,
      "month": "Aug",
      "volume": 86,
      "number": 6,
      "pages": "064206"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvB..86f4206C"
    }
  }
}