%0 Journal Article
%T Localization of interacting fermions in the Aubry-Andre' model
%A Vieri Mastropietro
%J Physics
%D 2015
%I arXiv
%R 10.1103/PhysRevLett.115.180401
%X We consider interacting electrons in a one dimensional lattice with an incommensurate Aubry-Andre' potential in the regime when the single-particle eigenstates are localized. We rigorously establish persistence of ground state localization in presence of weak many-body interaction, for almost all the chemical potentials. The proof uses a quantum many body extension of methods adopted for the stability of tori of nearly integrable hamiltonian systems, and relies on number-theoretic properties of the potential incommensurate frequency.
%U http://arxiv.org/abs/1509.03246v1