Localization of interacting fermions in the Aubry-Andre' model

2015/09/10 by Vieri Mastropietro · 1 citation
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.115.180401

published as Phys. Rev. Lett. 115, 180401 (2015) · 4 pages, 1 figure

arxiv created 2015/09/10 · arxiv updated 2015/11/04

Abstract

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.

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• Fibonacci number systems and the localization criterion in the many-body Aubry-André model

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