{
  "id": "0710.0692",
  "version": "v2",
  "published": "2007-10-03T02:14:34.000Z",
  "updated": "2007-10-29T11:56:28.000Z",
  "title": "Entanglement renormalization in fermionic systems",
  "authors": [
    "G. Evenbly",
    "G. Vidal"
  ],
  "comment": "5 pages, 4 figures Second appendix added",
  "journal": "Phys. Rev. B 81, 235102 (2010)",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We demonstrate, in the context of quadratic fermion lattice models in one and two spatial dimensions, the potential of entanglement renormalization (ER) to define a proper real-space renormalization group transformation. Our results show, for the first time, the validity of the multi-scale entanglement renormalization ansatz (MERA) to describe ground states in two dimensions, even at a quantum critical point. They also unveil a connection between the performance of ER and the logarithmic violations of the boundary law for entanglement in systems with a one-dimensional Fermi surface. ER is recast in the language of creation/annihilation operators and correlation matrices.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-29T11:56:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "03.67.Mn",
      "05.10.Cc",
      "05.70.Jk"
    ],
    "keywords": [
      "fermionic systems",
      "proper real-space renormalization group transformation",
      "quadratic fermion lattice models",
      "multi-scale entanglement renormalization ansatz",
      "one-dimensional fermi surface"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "doi": "10.1103/PhysRevB.81.235102",
      "year": 2010,
      "month": "Jun",
      "volume": 81,
      "number": 23,
      "pages": 235102
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvB..81w5102E",
      "inspire": 1368958
    }
  }
}