{
  "id": "cond-mat/0612134",
  "version": "v1",
  "published": "2006-12-06T02:54:08.000Z",
  "updated": "2006-12-06T02:54:08.000Z",
  "title": "Conductance fluctuations in disordered superconductors with broken time-reversal symmetry near two dimensions",
  "authors": [
    "S. Ryu",
    "A. Furusaki",
    "A. W. W. Ludwig",
    "C. Mudry"
  ],
  "comment": "23 pages",
  "journal": "Nucl. Phys. B 780, 105 (2007)",
  "doi": "10.1016/j.nuclphysb.2007.03.027",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.dis-nn"
  ],
  "abstract": "We extend the analysis of the conductance fluctuations in disordered metals by Altshuler, Kravtsov, and Lerner (AKL) to disordered superconductors with broken time-reversal symmetry in $d=(2+\\epsilon)$ dimensions (symmetry classes C and D of Altland and Zirnbauer). Using a perturbative renormalization group analysis of the corresponding non-linear sigma model (NL$\\sigma$M) we compute the anomalous scaling dimensions of the dominant scalar operators with $2s$ gradients to one-loop order. We show that, in analogy with the result of AKL for ordinary, metallic systems (Wigner-Dyson classes), an infinite number of high-gradient operators would become relevant (in the renormalization group sense) near two dimensions if contributions beyond one-loop order are ignored. We explore the possibility to compare, in symmetry class D, the $\\epsilon=(2-d)$ expansion in $d<2$ with exact results in one dimension. The method we use to perform the one-loop renormalization analysis is valid for general symmetric spaces of K\\\"ahler type, and suggests that this is a generic property of the perturbative treatment of NL$\\sigma$Ms defined on Riemannian symmetric target spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-06T02:54:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "broken time-reversal symmetry",
      "conductance fluctuations",
      "disordered superconductors",
      "one-loop order",
      "riemannian symmetric target spaces"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}