Localisation for non-monotone Schroedinger operators

  title={Localisation for non-monotone Schroedinger operators},
  author={Alexander Elgart and Mira Shamis and Sasha Sodin},
  journal={arXiv: Mathematical Physics},
We study localisation effects of strong disorder on the spectral and dynamical properties of (matrix and scalar) Schroedinger operators with non-monotone random potentials, on the d-dimensional lattice. Our results include dynamical localisation, i.e. exponentially decaying bounds on the transition amplitude in the mean. They are derived through the study of fractional moments of the resolvent, which are finite due to resonance-diffusing effects of the disorder. One of the byproducts of the… 
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