Localization for Random Block Operators Related to the XY Spin Chain

Academic Article


  • We study a class of random block operators which appear as effective one-particle Hamiltonians for the anisotropic XY quantum spin chain in an exterior magnetic field given by an array of i.i.d. random variables. For arbitrary non-trivial single-site distribution of the magnetic field, we prove dynamical localization of these operators at non-zero energy.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Chapman J; Stolz G
  • Start Page

  • 405
  • End Page

  • 435
  • Volume

  • 16
  • Issue

  • 2