Communications in Mathematical Physics

, Volume 88, Issue 2, pp 151–184

Absence of diffusion in the Anderson tight binding model for large disorder or low energy

Authors

  • Jürg Fröhlich
    • Theoretical PhysicsETH. Hönggerberg
  • Thomas Spencer
    • Department of MathematicsCalifornia Institute of Technology
Article

DOI: 10.1007/BF01209475

Cite this article as:
Fröhlich, J. & Spencer, T. Commun.Math. Phys. (1983) 88: 151. doi:10.1007/BF01209475

Abstract

We prove that the Green's function of the Anderson tight binding Hamiltonian decays exponentially fast at long distances on ℤv, with probability 1. We must assume that either the disorder is large or the energy is sufficiently low. Our proof is based on perturbation theory about an infinite sequence of block Hamiltonians and is related to KAM methods.

Copyright information

© Springer-Verlag 1983