{
  "id": "cond-mat/0609665",
  "version": "v2",
  "published": "2006-09-26T12:18:40.000Z",
  "updated": "2007-01-18T11:51:57.000Z",
  "title": "Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement",
  "authors": [
    "Xin Wan",
    "Kun Yang",
    "E. H. Rezayi"
  ],
  "comment": "4 pages, 3 figures. New version shortened for PRL. Corrected typos",
  "journal": "Phys. Rev. Lett. 97, 256804 (2006)",
  "doi": "10.1103/PhysRevLett.97.256804",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study the ground state and low-energy excitations of fractional quantum Hall systems on a disk at filling fraction $\\nu = 5/2$, with Coulomb interaction and background confining potential. We find the Moore-Read ground state is stable within a finite but narrow window in parameter space. The corresponding low-energy excitations contain a fermionic branch and a bosonic branch, with widely different velocities. A short-range repulsive potential can stabilize a charge $+e/4$ quasihole at the center, leading to a different edge excitation spectrum due to the change of boundary conditions for Majorana fermions, clearly indicating the non-Abelian nature of the quasihole.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-01-18T11:51:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coulomb interaction",
      "moore-read state",
      "non-abelian statistics",
      "edge confinement",
      "numerical study"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}