FM 7-16 . arXiv:1509.03246


Vieri Mastropietro

Phys. Rev. Lett. 115, 180401 – Published 26 October 2015



Author : Vieri Mastropietro            

Title: Localization of interacting fermions in the Aubry-Andr\'e model

Abstract: We consider interacting electrons in a one dimensional latticewith an incommensurate Aubry-Andr\'e potential in the regime when the single-particle eigenstates are localized. We rigorously establishpersistence 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.

Keywords: Many body localization