Spectral properties of the discrete random displacement model

Academic Article


  • We investigate spectral properties of a discrete random displacement model, a Schrödinger operator on l2(ℤd) with potential generated by randomly displacing finitely supported single-site terms from the points of a sublattice of ℤd. In particular, we characterize the upper and lower edges of the almost sure spectrum. For a one-dimensional model with Bernoulli distributed displacements, we can show that the integrated density of states has a 1/log2-singularity at external as well as internal band edges.
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    Digital Object Identifier (doi)

    Author List

  • Nichols R; Stolz G
  • Start Page

  • 123
  • End Page

  • 153
  • Volume

  • 1
  • Issue

  • 2