Uniform N-particle Anderson localization and unimodal eigenstates in deterministic disordered media without induction on the number of particles
arXiv:1402.6869
Abstract
We present the first rigorous result on Anderson localization for interacting systems of quantum particles subject to a deterministic (e.g., almost periodic) disordered external potential. For a particular class of deterministic, fermionic, Anderson-type Hamiltonians on the lattice of an arbitrary dimension, and for a large class of underlying dynamical systems generating the external potential, we prove that the spectrum is pure point, all eigenstates are unimodal and feature a uniform exponential decay. In contrast to all prior mathematical works on multi-particle Anderson localization, we do not use the induction on the number of particles.
arXiv admin note: substantial text overlap with arXiv:1307.7047