Anderson localization for random schrödinger operators with long range interactions

Academic Article


  • We prove pure point spectrum with exponentially decaying eigenfunctions at all band edges for Schrödinger Operators with a periodic potential plus a random potential of the form Vω(cursive Greek chi) = ∑qi(ω)f(cursive Greek chi - i), where f decays at infinity like |cursive Greek chi|-m for m > 4d resp. m > 3d depending on the regularity of f. The random variables qi are supposed to be independent and identically distributed. We assume that their distribution has a bounded density of compact support.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Kirsch W; Stollmann P; Stolz G
  • Start Page

  • 495
  • End Page

  • 507
  • Volume

  • 195
  • Issue

  • 3