{
  "id": "2002.03972",
  "version": "v1",
  "published": "2020-02-10T17:37:16.000Z",
  "updated": "2020-02-10T17:37:16.000Z",
  "title": "Effect of Berry Phase on Nonlinear Response of Two-dimensional Fermions",
  "authors": [
    "O. E. Raichev",
    "M. A. Zudov"
  ],
  "comment": "5 pages, 1 figure",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We develop a theory of nonlinear response to an electric field of two-dimensional (2D) fermions with topologically non-trivial wave functions characterized by the Berry phase $\\Phi_n = n \\pi, n = 1,2,...$. In particular, we find that owing to suppression of backscattering at odd $n$, Hall field-induced resistance oscillations, which stem from elastic electron transitions between Hall field-tilted Landau levels, are qualitatively distinct from those at even $n$: their amplitude decays with the electric field and their extrema are phase-shifted by a quarter cycle. The theory unifies the cases of graphene ($n = 1$) and graphite bilayer ($n = 2$) with the case of conventional 2D electron gas ($n = 0$) and suggests a new method to probe backscattering in topological 2D systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-10T17:37:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear response",
      "berry phase",
      "two-dimensional fermions",
      "electric field",
      "conventional 2d electron gas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}