{
  "id": "math-ph/0509022",
  "version": "v1",
  "published": "2005-09-12T15:22:18.000Z",
  "updated": "2005-09-12T15:22:18.000Z",
  "title": "Lifshitz Tails in Constant Magnetic Fields",
  "authors": [
    "Frédéric Klopp",
    "Georgi Raikov"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the 2D Landau Hamiltonian $H$ perturbed by a random alloy-type potential, and investigate the Lifshitz tails, i.e. the asymptotic behavior of the corresponding integrated density of states (IDS) near the edges in the spectrum of $H$. If a given edge coincides with a Landau level, we obtain different asymptotic formulae for power-like, exponential sub-Gaussian, and super-Gaussian decay of the one-site potential. If the edge is away from the Landau levels, we impose a rational-flux assumption on the magnetic field, consider compactly supported one-site potentials, and formulate a theorem which is analogous to a result obtained in the case of a vanishing magnetic field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-12T15:22:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B44",
      "47B80",
      "47N55",
      "81Q10"
    ],
    "keywords": [
      "constant magnetic fields",
      "lifshitz tails",
      "landau level",
      "random alloy-type potential",
      "2d landau hamiltonian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}