{
  "id": "cond-mat/0605533",
  "version": "v1",
  "published": "2006-05-22T13:11:21.000Z",
  "updated": "2006-05-22T13:11:21.000Z",
  "title": "Anomalous dimensions of operators without derivatives in the non-linear sigma-model for disordered bipartite lattices",
  "authors": [
    "Luca Dell'Anna"
  ],
  "comment": "20 pages, no figures; to appear in Nucl. Phys. B",
  "journal": "Nucl. Phys. B 750, 213 (2006)",
  "doi": "10.1016/j.nuclphysb.2006.05.022",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider a generic time-reversal invariant model of fermions hopping randomly on a square lattice. By means of the conventional replica-trick within the fermionic path-integral formalism, the model is mapped onto a non-linear sigma-model with fields spanning the coset U(4N)/Sp(2N), N->0. We determine the proper scaling combinations of an infinite family of relevant operators which control deviations from perfect two-sublattice symmetry. This allows us to extract the low-energy behavior of the density of states, which agrees with earlier results obtained in particular two-sublattice models with Dirac-like single-particle dispersion. The agreement proves the efficacy of the conventional fermionic-path-integral approach to disordered systems, which, in spite of many controversial aspects, like the zero-replica limit, remains one of the more versatile theoretical tool to deal with disordered electrons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-22T13:11:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "disordered bipartite lattices",
      "non-linear sigma-model",
      "anomalous dimensions",
      "derivatives",
      "generic time-reversal invariant model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}