We consider interacting electrons in a one-dimensional lattice with an incommensurate Aubry-André potential in the regime when the single-particle eigenstates are localized. We rigorously establish the persistence of ground state localization in the 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.
Localization of interacting fermions in the Aubry-Andre'model / V. Mastropietro. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 115:18(2015 Oct 26), pp. 180401.1-180401.5.
Localization of interacting fermions in the Aubry-Andre'model
V. Mastropietro
2015
Abstract
We consider interacting electrons in a one-dimensional lattice with an incommensurate Aubry-André potential in the regime when the single-particle eigenstates are localized. We rigorously establish the persistence of ground state localization in the 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.File | Dimensione | Formato | |
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