{
  "id": "1003.5763",
  "version": "v3",
  "published": "2010-03-30T08:40:21.000Z",
  "updated": "2010-11-16T17:39:43.000Z",
  "title": "Non-Abelian gauge fields in the gradient expansion: generalized Boltzmann and Eilenberger equations",
  "authors": [
    "C. Gorini",
    "P. Schwab",
    "R. Raimondi",
    "A. L. Shelankov"
  ],
  "comment": "11 pages, 1 figure; some corrections and updated/extended references",
  "journal": "Phys.Rev.B82:195316,2010",
  "doi": "10.1103/PhysRevB.82.195316",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We present a microscopic derivation of the generalized Boltzmann and Eilenberger equations in the presence of non-Abelian gauges, for the case of a non-relativistic disordered Fermi gas. A unified and symmetric treatment of the charge $[U(1)]$ and spin $[SU(2)]$ degrees of freedom is achieved. Within this framework, just as the $U(1)$ Lorentz force generates the Hall effect, so does its $SU(2)$ counterpart give rise to the spin Hall effect. Considering elastic and spin-independent disorder we obtain diffusion equations for charge and spin densities and show how the interplay between an in-plane magnetic field and a time dependent Rashba term generates in-plane charge currents.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-11-16T17:39:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "72.25.-b"
    ],
    "keywords": [
      "non-abelian gauge fields",
      "eilenberger equations",
      "generalized boltzmann",
      "generates in-plane charge currents",
      "gradient expansion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2010,
      "month": "Nov",
      "volume": 82,
      "number": 19,
      "pages": 195316
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 850426,
      "adsabs": "2010PhRvB..82s5316G"
    }
  }
}